Inhalt des Dokuments
zur Navigation
Begutachtete Veröffentlichungen
1 | R.S. Varga, E.B. Saff, V. Mehrmann Incomplete Factorizations of Matrices and Connections with H-Matrices SIAM Journal Numerical Analysis, Vol. 6, pp. 787-793, 1980. |
2 | V. Mehrmann On a Generalized Fan Inequality Linear Algebra and its Applications, Vol. 58, pp. 235-245, 1984. |
3 | V. Mehrmann On Classes of Matrices Containing M-Matrices and Hermitian Positive Semidefinite Matrices Linear Algebra and its Applications, Vol. 58, pp. 217-234, 1984. |
4 | V. Mehrmann On the LU-Decomposition of V-Matrices Linear Algebra and its Applications, Vol. 61, pp. 175-186, 1984. |
5 | V. Mehrmann On some Conjectures on the Spectra of tau-Matrices Linear and Multilinear Algebra, Vol. 16 , pp. 101-112 , 1984. |
6 | D. Hershkowitz, V. Mehrmann Linear Transformations which Map the Classes of -Matrices and -Matrices into or onto themselves Linear Algebra and its Applications, Vol. 78, pp. 79-107, 1986. |
7 | R. Byers, V. Mehrmann Symmetric Updating of the Solution of the Algebraic Riccati Equation Methods of Operations Research , Vol. 54, 1986, pp. 117-125. |
8 | A. Bunse-Gerstner, V. Mehrmann A Symplectic QR-like Algorithm for the Solution of the Real Algebraic Riccati Equation IEEE Transactions on Automatic Control, Vol. AC-31, 1986, pp. 1104-1113. |
9 | D. Hershkowitz, V. Mehrmann, H. Schneider Matrices with Sign Symmetric Diagonal Shifts or Scalar Shifts SIAM Journal Algebraic and Discrete Methods, Vol. 8, 1987, pp. 108-122. |
10 | D. Hershkowitz, V. Mehrmann, H. Schneider Eigenvalue Interlacing for Certain Classes of Matrices with Real Principal Minors Linear Algebra and its Applications, Vol. 88-89, 1987, pp. 373-403. |
11 | V. Mehrmann A Symplectic Orthogonal Method for Single Input or Single Output Discrete Time Linear Quadratic Control Problems SIAM Journal on Matrix Analysis and Applications, Vol. 9, 1988, pp. 221-248. |
12 | V. Mehrmann, E. Tan Defect Correction Methods for the Solution of Algebraic Riccati Equations IEEE Transactions on Automatic Control, Vol. AC-33, 1988, pp. 695-698. |
13 | A. Bunse-Gerstner, R. Byers, V. Mehrmann A Quaternion QR Algorithm Numerische Mathematik, Vol. 55, 1989, pp. 83-95. |
14 | A. Bunse-Gerstner, V. Mehrmann The HHDR-Algorithm and its Application to Optimal Control Problems R.A.I.R.O. Automatique Productique Informatique Industrielle, Vol. 23, 1989, pp. 305-329. |
15 | V. Mehrmann, G. Krause Linear Transformations which Leave Controllable Multi Input Descriptor Systems Controllable Linear Algebra and its Applications, Vol. 120, 1989, pp. 47-64. |
16 | V. Mehrmann Existence, Uniqueness and Stability of Solutions to Singular Linear Quadratic Optimal Control Problems Linear Algebra and its Applications, Vol. 121, 1989, pp. 291-331. |
17 | A. Bunse-Gerstner, V. Mehrmann, D. Watkins An SR-Algorithm for Hamiltonian Matrices Based on Gaussian Elimination Methods of Operations Research, Vol. 58, 1989, pp. 339-358. |
18 | L. Elsner, V. Mehrmann Priority Vectors for Matrices of Pairwise Comparisons Methods of Operations Research, Vol. 58, 1989, pp. 15-26. |
19 | P. Kunkel, V. Mehrmann Numerical Solution of Riccati Differential Algebraic Equations Linear Algebra and its Applications, Vol. 137/138, 1990, pp. 39-66. |
20 | U. Flaschka, V. Mehrmann, D. Zywietz An Analysis of Structure Preserving Numerical Methods for Symplectic Eigenvalue Problems, R.A.I.R.O. Automatique Productique Informatique Industrielle, Vol. 25, 1991, pp. 165-190. |
21 | G. Ammar, V. Mehrmann On Hamiltonian and Symplectic Hessenberg Forms Linear Algebra and its Applications , Vol. 149 , 1991, pp. 55-72. |
22 | L. Elsner, V. Mehrmann Convergence of Block-Iterative Methods for Linear Systems Arising in the Numerical Solution of Euler Equations Numerische Mathematik , Vol. 59, 1991, pp. 541-560. |
23 | A. Bunse-Gerstner, R. Byers, V. Mehrmann, N.K. Nichols Numerical Computation of an Analytic Singular Value Decomposition of a Matrix Valued Function Numerische Mathematik , Vol. 60, 1991, pp. 1-40. |
24 | P. Kunkel, V. Mehrmann Smooth Factorizations of Matrix Valued Functions and their Derivatives Numerische Mathematik, Vol. 60, 1991, pp. 115-132. |
25 | A. Bunse-Gerstner, V. Mehrmann, N.K. Nichols Regularization of Descriptor Systems by Derivative and Proportional State Feedback SIAM Journal Matrix Analysis and its Applications, Vol. 13, 1992, pp. 46-67. |
26 | A. Bunse-Gerstner, R. Byers, V. Mehrmann A Chart of Numerical Methods for Structured Eigenvalue Problems SIAM Journal on Matrix Analysis and Applications, Vol. 13, 1992, pp. 419-453. |
27 | A. Bunse-Gerstner, R. Byers, V. Mehrmann Numerical Methods for Simultaneous Diagonalization SIAM Journal on Matrix Analysis and Applications, Vol. 14, No. 4, 1993, pp. 927-949. |
28 | C.R. Johnson, V. Mehrmann, D.D. Olesky Sign Controllability of a Nonnegative Matrix and a Positive Vector SIAM Journal Matrix Analysis and its Applications , Vol. 14, 1993, pp. 398-407. |
29 | V. Mehrmann Divide and Conquer Methods for Block Tridiagonal Linear Systems Parallel Computing, Vol. 19, 1993, pp. 257-279. |
30 | G. Ammar, P. Benner, V. Mehrmann A Multishift Algorithm for the Numerical Solution of Algebraic Riccati Equations Electronic Transactions in Numerical Analysis, Vol. 1, 1993, pp. 33-48. |
31 | V. Mehrmann, W. Rath Numerical Methods for the Computation of Analytic Singular Value Decompositions Electronic Transactions in Numerical Analysis, Vol. 1, 1993, pp. 72-88. |
32 | A. Bunse-Gerstner, V. Mehrmann, N.K. Nichols Regularization of Descriptor Systems by Output Feedback IEEE Transactions Automatic Control, Vol. 39, 1994, pp. 1742-1748. |
33 | P. Kunkel, V. Mehrmann Canonical Forms for Linear Differential-Algebraic Equations with Variable Coefficients Journal of Computational and Applied Mathematics, Vol. 56, 1994, pp. 225-251. |
34 | P. Kunkel, V. Mehrmann A New Look at Pencils of Matrix Valued Functions Linear Algebra and its Applications, Vol. 212/213, 1994, pp. 215-248. |
35 | L. Elsner, C. He, V. Mehrmann Minimizing the Condition Number of a Positive Definite Matrix by Completion Numerische Mathematik, Vol. 69, 1994, pp. 17-24. |
36 | L. Elsner, C. He, V. Mehrmann Minimizing the Norm, the Norm of the Inverse and the Condition Number of a Matrix by Completion Numerical Linear Algebra with Applications, Vol. 2(2), 1995, pp. 155-171. |
37 | P. Kunkel, V. Mehrmann Analysis und Numerik linearer differentiell-algebraischer Gleichungen in Wissenschaftliches Rechnen. Eine Einführung in das Scientific Computing, J. Herzberger Herausg., Akademie Verlag Berlin 1995, 233-278. |
38 | P. Kunkel, V. Mehrmann A New Class of Discretization Methods for the Solution of Linear Differential Algebraic Equations with Variable Coefficients SIAM Journal Numerical Analysis, Vol. 33, No.5, October 1996, pp. 1941-1961. |
39 | P. Kunkel, V. Mehrmann Generalized Inverses of Differential-Algebraic Operators SIAM Journal on Matrix Analysis and Applications, Vol. 17, 1996, pp. 426-442. |
40 | V. Mehrmann A Step Towards a Unified Treatment of Continuous and Discrete Time Control Problems Linear Algebra and its Applications, Vol. 241-243, 1996, pp. 749-779. |
41 | V. Mehrmann, H. Xu An Analysis of the Pole Placement Problem. I. The Single-Input Case. Electronic Transactions on Numerical Analysis, Vol. 4, 1996, pp. 89-105. |
42 | P. Kunkel, V. Mehrmann Local and Global Invariants of Linear Differential-Algebraic Equations and their Relation, Electronic Transactions on Numerical Analysisetna.mcs.kent.edu, Vol. 4, 1996, pp. 138-157. |
43 | R. Byers, P. Kunkel, V. Mehrmann Regularization of Linear Descriptor Systems with Variable Coefficients SIAM Journal Control and Optimization, Vol. 35, No.1, 1997, pp. 117-133. |
44 | R. Byers, T. Geerts, V. Mehrmann Descriptor Systems without Controllability at Infinity SIAM Journal Control and Optimization, Vol. 35, No.2, 1997 pp. 462-479. |
45 | P. Kunkel, V. Mehrmann, W. Rath, J. Weickert A new Software Package for the Solution of General Linear Differential Algebraic equations SIAM Journal Scientific Computing, Vol. 18, 1997, pp. 115 - 138. |
46 | R. Byers, C. He, V. Mehrmann The Matrix Sign Function Method and the Computation of Invariant Subspaces SIAM Journal Matrix Analysis and Applications, Vol. 18, 1997, pp. 615-632. |
47 | P. Benner, A. Laub, V. Mehrmann Benchmarks for the Numerical Solution of Algebraic Riccati Equations Control Systems Magazine, Vol. 17, No. 5, 1997, pp. 18-28. |
48 | P. Benner, V. Mehrmann, H. Xu A New Method for Computing the Stable Invariant Subspace of a Real Hamiltonian Matrix Journal of Computational and Applied Mathematics, Vol. 86, 1997, pp. 17-43. |
49 | P. Kunkel, V. Mehrmann The Linear Quadratic Control Problem for Linear Descriptor Systems with Variable Coefficients Mathematics of Control, Signals and Systems, Vol.10, 1997, pp. 247-264. |
50 | V. Mehrmann, H. Xu An Analysis of the Pole Placement Problem. II. The Multi-Input Case. Electronic Transactions on Numerical Analysis, Vol 5., 1997, pp. 77-97. |
51 | P. Benner, V. Mehrmann, H. Xu A Numerically Stable, Structure Preserving Method for Computing the Eigenvalues of Real Hamiltonian or Symplectic Pencils Numerische Mathematik, Vol. 78, 1998, pp. 329-358. |
52 | V. Mehrmann, H. Xu Choosing Poles so that the Single-Input Pole Placement Problem is Well-conditioned. SIAM Journal Matrix Analysis and Applications, Vol. 19, 1998, pp. 664-681. |
53 | J.J. Hench, C. He, V. Kucera, V. Mehrmann Dampening Controllers via a Riccati Equation Approach IEEE Transactions Automatic Control, Vol. AC-43, 1998, pp. 1280-1284. |
54 | P. Kunkel, V. Mehrmann Regular Solutions of Nonlinear Differential-Algebraic Equations and their Numerical Determination Numerische Mathematik, Vol. 79, 1998, pp. 581-600. |
55 | C. He, J.J. Hench, V. Mehrmann On Damped Algebraic Riccati Equations IEEE Transactions Automatic Control, Vol. AC-43, 1998, pp. 1634-1637. |
56 | R. Byers, C. He, V. Mehrmann Where is the Nearest Non-Regular Pencil, Linear Algebra and its Applications, Vol. 285, 1998, pp. 81-105. |
57 | V. Mehrmann, D. Olesky, T.X.T. Phan, P. Van den Driessche Relations Between Perron-Frobenius Results for Matrix Pencils Linear Algebra and its Applications, Vol. 287, 1998, pp. 257-269. |
58 | G. Ammar, C. Mehl, V. Mehrmann Schur-like Forms for Matrix Lie Groups, Lie Algebras and Jordan Algebras Linear Algebra and its Applications, Vol. 287, 1998, pp. 11-39. |
59 | V. Mehrmann, H. Xu Structured Jordan Canonical Forms for Structured Matrices that are Hermitian, Skew Hermitian or Unitary with Respect to Indefinite Inner Products Electronic Journal on Linear Algebrawww.math.technion.ac.il/iic/ela/Home.html, Vol. 5, 1999, pp. 67-103. |
60 | P. Benner, V. Mehrmann, H. Xu A Note on the Numerical Solution of Complex Hamiltonian and Skew-Hamiltonian Eigenvalue Problems Electronic Transactions on Numerical Analysis, Vol. 8, 1999, pp. 115-126. |
61 | P. Benner, V. Mehrmann, V. Sima, S. Van Huffel, A. Varga SLICOT-A Subroutine Library in Systems and Control Theory Applied and Computational Control, Signals and Circuits, Vol. 1, 499-532, 1999. |
62 | D. Chu, V. Mehrmann, N.K. Nichols Minimum Norm Regularization of Descriptor Systems by Output Feedback Linear Algebra and its Applications, Vol. 296, 39-77, 1999. |
63 | U. Elsner, V. Mehrmann, F. Milde, R.A. Römer, M. Schreiber The Anderson Model of Localization: A Challenge for Modern Eigenvalue Methods SIAM Journal Scientific Computing, Vol. 20, 2089-2102, 1999. |
64 | D. Chu, V. Mehrmann Disturbance Decoupled Observer Design for Descriptor Systems Systems and Control Letters, Vol. 38, 37-48, 1999. |
65 | D. Chu, V. Mehrmann Disturbance Decoupling for Descriptor Systems SIAM Journal Control and Optimization, Vol. 38, 1830-1858, 2000. |
66 | M.M. Konstantinov, V. Mehrmann, P.Hr. Petkov On Properties of General Sylvester and Lyapunov Operators Linear Algebra and its Applications, Vol. 312, 35-71, 2000. |
67 | W.-W. Lin, V. Mehrmann, H. Xu Canonical Forms for Hamiltonian and Symplectic Matrices and Pencils Linear Algebra and its Applications, Vol. 301-303, 469-533, 1999. |
68 | A. Bunse-Gerstner, R. Byers, V. Mehrmann, N.K. Nichols Feedback Design for Regularizing Descriptor Systems. Linear Algebra and its Applications, Vol. 299, 119-151, 1999. |
69 | V. Mehrmann, H. Xu Numerical Methods in Control Journal of Computational and Applied Mathematics, Vol. 123, 371-394, 2000. |
70 | M. Arav, D. Hershkowitz, V. Mehrmann, H. Schneider The Recursive Inverse Eigenvalue Problem SIAM Journal Matrix Analysis and Applications, Vol. 22, 392-412, 2000. |
71 | P. Kunkel, V. Mehrmann, W. Rath Analysis and Numerical Solution of Control Problems in Descriptor Form Mathematics of Control, Signals and Systems, Vol. 14, 29-61, 2001. |
72 | D. Chu, V. Mehrmann Disturbance Decoupling for Descriptor Systems by Measurement Feedback Electronic Journal on Linear Algebra, Vol. 7, 152-173, 2000. |
73 | C. Mehl, V. Mehrmann, H. Xu Canonical forms for doubly structured matrices and pencils Electronic Journal on Linear Algebra, Vol. 7, 112-151, 2000. |
74 | V. Mehrmann, D. Watkins Structure-preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils SIAM Journal on Scientific Computing, Vol. 22, 1905-1925, 2001. |
75 | P. Benner, R. Byers, H. Faßbender, V. Mehrmann, D. Watkins Cholesky-like factorizations of skew-symmetric matrices Electronic Transactions on Numerical Analysis, Vol. 11, 85-93, 2000. |
76 | P. Kunkel, V. Mehrmann Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems Mathematics of Control, Signals and Systems, Vol. 14, 233-256, 2001. |
77 | D. Chu, V. Mehrmann Disturbance Decoupling for Linear Time-Invariant Systems: A Matrix Pencil Approach IEEE Transactions Automatic Control, Vol. 46, 802-808,2001. |
78 | M.M. Konstantinov, V. Mehrmann, P.Hr. Petkov Perturbation Theory for the Hamiltonian Schur Form SIAM Journal Matrix Analysis and Applications, Vol. 23, 387-424, 2002. |
79 | G. Freiling, V. Mehrmann, H. Xu Existence, Uniqueness and Parametrization of Lagrangian Invariant Subspaces SIAM Journal Matrix Analysis and Applications, Vol. 23, 1045-1069, 2002. |
80 | P. Benner, V. Mehrmann, H. Xu Perturbation Analysis for the Eigenvalue Problem of a Formal Product of Matrices BIT, Numerical Mathematics, Vol. 42, 001-043, 2002. |
81 | M. Bollhöfer, V. Mehrmann Algebraic Multilevel Methods and Sparse Approximate Inverses SIAM Journal Matrix Analysis and Applications, Vol. 24, 191-218, 2002. |
82 | P. Benner, R. Byers, V. Mehrmann, H. Xu Numerical Computation of Deflating Subspaces of Skew Hamiltonian/Hamiltonian Pencils SIAM Journal Matrix Analysis and Applications, Vol. 24, 165-190, 2002. |
83 | V. Mehrmann, D. Watkins Polynomial eigenvalue problems with Hamiltonian structure Electronic Transactions on Numerical Analysis, Vo. 13, 106-113, 2002 |
84 | T. Apel, V. Mehrmann, D. Watkins Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures Computer Methods in Applied Mechanics and Engineering, Vol. 191, 4459-4473, 2002. |
85 | C. Mehl, V. Mehrmann, H. Xu On doubly structured matrices and pencils that arise in linear response theory Linear Algebra and its Applications, Vol. 380, 3-51, 2004 |
86 | T.-M. Hwang, W.-W. Lin, V. Mehrmann Numerical solution of quadratic eigenvalue problems with structure-preserving methods SIAM Journal on Scientific Computing, Vol. 24, 1283-1302, 2003. |
87 | M. Bollhöfer, V. Mehrmann Some convergence estimates for algebraic multilevel preconditioners Contemporary Mathematics, Vol. 323 Fast Algorithms for Structured Matrices: Theory and Applications Americal Mathematical Society and Society for Industrial and Applied Mathematics, 293-312, 2003 |
88 | R. Loewy, V. Mehrmann A note on the symmetric recursive inverse eigenvalue problem SIAM Journal Matrix Analysis and Applications, Vol. 25, 180-187, 2003. |
89 | M.M. Konstantinov, V. Mehrmann, P.Hr. Petkov Perturbed spectra of defective matrices Journal of Applied Mathematics, Vol. 3, 115-140, 2003. |
90 | P. Benner, D. Kressner, V. Mehrmann Structure preservation: a challenge in computational control, Future Generation Computer Systems, 19:1243-1252, 2003. |
91 | P. Kunkel, V. Mehrmann Index reduction for differential-algebraic equations by minimal extension Zeitschrift f. Angewandte Mathematik und Mechanik, Vol. 84, 579-597, 2004 |
92 | N.J. Higham, M.M. Konstantinov, V. Mehrmann, P.Hr. Petkov The sensitivity of computational control problems Control Systems Magazine Vol. 24, 28-43, 2004. |
93 | P. Kunkel, V. Mehrmann, R. Stöver Multiple Shooting for Unstructured Nonlinear Differential-Algebraic Equations of Arbitrary Index SIAM Journal on Numerical Analysis, Vol. 42, 2277-2297, 2005. |
94 | O. Holtz, V. Mehrmann, H. Schneider Potter, Wielandt, and Drazin on the matrix equation AB = $/omega$BA, with some new answers to old questions American Mathematical Monthly, Vol. 111, 655-667, 20045. |
95 | P. Kunkel, V. Mehrmann, R. Stöver Symmetric Collocation for Unstructured Nonlinear Differential-Algebraic Equations of Arbitrary Index Numerische Mathematik, Vol. 98, 277-304, 2004. |
96 | A. Ilchmann, V. Mehrmann A behavioural approach to linear time-varying systems. I. General Theory. SIAM Journal on Control, Vol. 44, 1725-1747, 2005. |
97 | A. Ilchmann, V. Mehrmann A behavioural approach to linear time-varying systems. II. Descriptor Systems. SIAM Journal on Control and Optimiziation, Vol. 44, 1748-1765, 2005. |
98 | V. Mehrmann, H. Voss Nonlinear Eigenvalue Problems: A Challenge for Modern Eigenvalue Methods Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik, Vol. 27, 121-151, 2005. |
99 | V. Mehrmann, T. Stykel Balanced truncation model reduction for large-scale systems in descriptor form in Dimension Reduction of Large-Scale Systems P. Benner, V. Mehrmann and D. Sorensen, Edtrs., LNCSE Vol. 45. Springer Verlag, Heidelberg, 2005, pp. 83-116. |
100 | D.S. Mackey, N. Mackey, C. Mehl, V. Mehrmann Vector spaces of linearizations for matrix polynomials SIAM Journal Matrix Analysis and Applications, Vol. 28, 971-1004, 2006. |
101 | D.S. Mackey, N. Mackey, C. Mehl, V. Mehrmann Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations SIAM Journal Matrix Analysis and Applications, Vol. 28, 1029-1051, 2006 |
102 | S. Bora, V. Mehrmann Perturbation theory for structured matrix pencils arising in control theory SIAM Journal Matrix Analysis and Applications, Vol. 28, 1029-1051, 2006. |
103 | D. Chu, X. Liu, V. Mehrmann A numerically method for computing the Hamiltonian Schur form Numerische Mathematik, Vol. 105, 375-412, 2007. |
104 | P. Kunkel, V. Mehrmann Characterization of Classes of Singular Linear Differential-Algebraic Equations Electronic Journal on Linear Algebra, Vol. 13, 359--386, 2005. |
105 | V. Mehrmann, T. Stykel Differential equations and stability in In Handbook of Linear Algebra, Chapman and Hall/CRC Press, Boca Rotan, Fl., 55-1--55-16, 2007. |
106 | V. Mehrmann, T. Stykel Descriptor Systems: A General Mathematical Framework for Modelling, Simulation and Control Automatisierungstechnik, Vol. 8, 405-415, 2006 |
107 | V. Mehrmann, C. Shi Transformation of high order linear differential-algebraic systems to first order Numerical Algorithms, Vol. 42, 281-307, 2006. |
108 | L. Henning, D. Kuzmin, V. Mehrmann, M. Schmidt, A. Sokolov and S. Turek Flow Control on the basis of Featflow-Matlab Coupling Notes on Numerical Fluid Dynamics Vol. 95. Proceedings of the Conference on Active Flow Control 27. - 29.9.2006, Berlin, Germany. R. King, Ed., Pages 325--338. Springer Verlag, Berlin, 2007. |
109 | R. Byers, V. Mehrmann, H. Xu A structured staircase algorithm for skew-symmetric/symmetric pencils Electronic Transactions on Numerical Analysis, Vol. 26, 1-33, 2007. |
110 | P. Benner, R. Byers, V. Mehrmann, H. Xu A robust numerical method for the $\gamma$-iteration in H_$\infty$-control Linear Algebra and its Applications , Vol. 425, 548-570, 2007. |
111 | Y. Bavafa-Toosi, C. Blendinger, V. Mehrmann, A. Steinbrecher, R. Unger A new methodoloy for modeling, analysis, synthesis, and simulation of time-optimal train traffic in large networks IEEE Transactions on Automation Science and Engineering , Vol. 5, 43-52, 2008. |
112 | C. Mehl, V. Mehrmann, A. Ran, L. Rodman Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices Linear and Multilinear Algebra , Vol. 57, 141-185, 2009. |
113 | P. Kunkel, V. Mehrmann Stability properties of differential-algebraic equations and spin-stabilized discretizations Electronic Transactions on Numerical Analysis, Vol. 26, 385-420, 2007 |
114 | V. Mehrmann, R. Nabben, E. Virnik Generalisation of the Perron-Frobenius Theory to Matrix Pencils Linear Algebra and its Applications Vol. 428, 20--38, 2008 |
115 | P. Hamann, V. Mehrmann Numerical solution of hybrid systems of differential-algebraic equations Computer Methods in Applied Mechanics and Engineering Vol. 197, 693-705, 2008. |
116 | P. Losse, V. Mehrmann, Controllability and observability of second order descriptor systems. SIAM Journal Control and Optimization, Vol. 47, 1351-1379, 2008. |
117 | P. Kunkel, V. Mehrmann Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index Mathematics of Control Signals and Systems, Vol. 20, 227-269, 2008. |
118 | D. Fritzsche, V. Mehrmann, D. Szyld, E. Virnik An SVD approach to identifying meta-stable states of Markov chains Electronic Transactions on Numerical Analysis , Vol. 29, 46-89, 2008. |
119 | C. Mehl, V. Mehrmann, H. Xu Singular value decomposition for complex matrix triple Journal of Computational and Applied Mathematics, Vol. 233, 1245-1276, 2010. DOI: 10.1016/j.cam.2008.02.017. |
120 | R. Byers, V. Mehrmann, H. Xu Trimmed linearization for structured matrix polynomials Linear Algebra and its Applications , Vol. 429, 2373-2400, 2008. |
121 | D.S. Mackey, N. Mackey, C. Mehl, V. Mehrmann Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form Numerical Linear Algebra with Applications, Vol 16, 63-86, 2009. |
122 | V. Mehrmann, H. Xu Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations Electronic Journal on Linear Algebra, Vol. 17, 234-257, 2008. |
123 | V. Mehrmann, X. Xu Explicit Solutions for a Riccati Equation from Transport Theory SIAM Journal Matrix Analysis and Applications , Vol. 30, 1339-1357, 2008. |
124 | P. Losse, V. Mehrmann, L. Poppe, T. Reis The modified optimal ${\mathcal H}_\infty$ control problem for descriptor systems SIAM Journal Control and Optimization, Vol. 47, 2795--2811, 2008 |
125 | R. Loewy, V. Mehrmann A note on Potter's Theorem for quasi-commutative matrices Linear Algebra and its Applications , Vol. 430, 1812-1825, 2009. |
126 | V. H. Linh, V. Mehrmann Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations Journal on Dynamics and Differential equations , Vol. 21, 153-194, 2009. |
127 | V. Mehrmann, C. Schröder and D.S. Watkins, A new block method for computing the Hamiltonian Schur form Linear Algebra and its Applications, Vol. 431, 350-368, 2009. |
128 | C. Mehl, V. Mehrmann, H. Xu. Structured decompositions for matrix triples: SVD-like concepts for structured matrices Operators and Matrices, Vol. 3, 303-356, 2009. |
129 | V. Mehrmann and L. Wunderlich, Hybrid systems of differential-algebraic equations -- Analysis and numerical solution Journal of Process Control, Vol. 19, 1218--1228, 2009. |
130 | S. Jokar and V. Mehrmann, Sparse Solutions to Underdetermined Kronecker Product Systems Linear Algebra and its Applications, Vol. 431, 2437-2447, 2009. |
131 | S. Jokar, V. Mehrmann, M. Pfetsch and H. Yserentant, Sparse Approximate Solution of Partial Differential Equations Applied Numerical Mathematics, Vol. 60, 452-472, 2010. |
132 | V. Mehrmann, C. Schröder and V. Simoncini, An Implicitly-Restarted Krylov Subspace Method for Real Symmetric/Skew-Symmetric Eigenproblems Linear Algebra and its Applications, Vol. 436, 4070-4087, 2009. DOI: 10.1016/j.laa.2009.11.009 |
133 | D.S. Mackey, N. Mackey, C. Mehl and V. Mehrmann, Jordan structures of alternating matrix polynomials Linear Algebra and its Applications, Vol. 432, 867-891, 2010. DOI: 10.1016/j.laa.2009.10.002 |
134 | C. Mehl, V. Mehrmann, A. Ran and L. Rodman, Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations Linear Algebra and its Applications, Vol 436, 4027-4042, 2012. DOI: 10.1016/j.laa.2010.04.008 |
135 | V.H. Linh, V. Mehrmann, and E. Van Vleck, QR methods and Error Analysis for Computing Lyapunov and Sacker-Sell Spectral Intervals for Linear Differential-Algebraic Equations Advances in Computational Mathematics, Vol 35, 281-322, 2011. DOI: 10.1007/s10444-010-9156-1 |
136 | C. Mehl, V. Mehrmann, A. Ran and L. Rodman, Eigenvalue perturbation theory of structured matrices under generic structured rank one perturbations Linear Algebra and its Applications, Vol. 435, 687-716, 2011. DOI:10-1016/j.laa.2010.07.025 |
137 | V. Mehrmann and A. Miedlar, Adaptive Computation of Smallest Eigenvalues of Elliptic Partial Differential Equations Numerical Linear Algebra with Applications, Vol. 18, 387-409, 2011. DOI: 10.1002/nla.733 |
138 | D.S. Mackey, N. Mackey, C. Mehl and V. Mehrmann, Smith Forms of Palindromic Matrix Polynomials Electronic Journal on Linear Algebra, Vol. 22, 53-91, 2011. |
139 | R. Alam, S. Bora, M. Karow, V. Mehrmann and J. Moro, Perturbation theory for Hamiltonian matrices and the distance to bounded-realness SIAM Journal Matrix Analysis and Applications, Vol. 32, 484--514, 2011. |
140 | P. Benner, R. Byers, P. Losse, V. Mehrmann and H. Xu, Robust formulas for optimal H-infinity controllers. Automatica, Vol. 47, 2639-2646, 2011. DOI: 10.1016/j.automatica.2011.09.013 |
141 | C. Carstensen, J. Gedicke, V. Mehrmann, and A. Miedlar, An adaptive homotopy approach for non-selfadjoint eigenvalue problems Numerische Mathematik, Vol. 119, 557-583, 2011. |
142 | W. Martens, U. von Wagner and V. Mehrmann, Calculation of high-dimensional probability density functions of stochastically excited nonlinear mechanical systems, Nonlinear Dynamics, Vol. 67, 2089-2099, 2012. DOI: 10.1007/s11071-011-0131-2 |
143 | V.H. Linh and V. Mehrmann, Approximation of spectral intervals and leading directions for differential-algebraic equation via smooth singular value decompositions SIAM Journal Numerical Analysis, Vol. 49. 1810-1835, 2011. DOI: 10.1137/100806059. |
144 | P. Kunkel and V. Mehrmann, Formal adjoints of linear DAE operators and their role in optimal control Electronic Journal on Linear Algebra, Vol. 22, 672-693, 2011. |
145 | S. Friedland, V. Mehrmann, A. Miedlar, and M. Nkengla. Fast low rank approximations of matrices and tensors Electronic Journal on Linear Algebra, Vol. 22, 1031-1048, 2011. |
146 | V. Mehrmann and C. Schröder, Nonlinear eigenvalue and frequency response problems in industrial practice Journal of Mathematics in Industry, 1:7, 2011, DOI:10.1186/2190-5983-1-7. |
147 | J. Heiland, V. Mehrmann, and M. Schmidt. A New Discretization Framework for Input/Output Maps and its Application to Flow Control. Active Flow Control II, 26.--28.05. 2010, Berlin, Germany. R. King, Ed. Springer Verlag, Berlin, 2010. |
148 | S.L. Campbell, P. Kunkel and V. Mehrmann. Regularization of linear and nonlinear descriptor systems. In Control and Optimization with Differential-Algebraic Constraints. L.T. Biegler and S.L. Campbell and V. Mehrmann (edtrs), SIAM, Philadelphia, PA, 2012, pp. 17-34. |
149 | V.H. Linh and V. Mehrmann. Spectra and leading directions for differential-algebraic equations. In Control and Optimization with Differential-Algebraic Constraints. L.T. Biegler and S.L. Campbell and V. Mehrmann (edtrs), SIAM Philadelphia, PA, 2012, pp. 59-75. |
150 | Sk. S. Ahmad and V. Mehrmann. Perturbation Analysis for complex symmetric, skew symmetric even and odd matrix polynomials. Electronic Transactions on Numerical Analysis, Vol. 38, 275-302, 2011. |
151 | V. Mehrmann and F. Poloni, A generalized structured doubling algorithm for the numerical solution of linear quadratic optimal control problems. Numerical Linear Algebra with Applications, 2012. DOI: 10,1002/nla.1828. |
152 | J. Heiland and V. Mehrmann, Distributed control of linearized Navier-Stikes equations via input/output maps. Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 92, 257-274, 2012. |
153 | T. Betcke, N.J. Higham, V. Mehrmann, C. Schröder, F. Tisseur, NLEVP: A collection of nonlinear eigenvalue problems. ACM TOMS, Vol. 39, 7:1--7:28, 2013. |
154 | V. Mehrmann and F. Poloni, Doubling algorithms with permuted Lagrangian graph bases. SIAM J. Matrix Analysis and Applications, Vol. 33, 780--805, 2012. |
155 | P. Ha and V. Mehrmann, Analysis and reformulation of linear delay differential-algebraic equations. Electronic Journal on Linear Algebra, Vol. 23, 703-730, 2012. |
156 | C. Mehl, V. Mehrmann, A.C.M. Ran and L. Rodman, Jordan forms of real and complex symmetric matrices under rank one perturbations. Operators and Matrices, Vol. 7, 381-398, 2013. |
157 | Sk. S. Ahmad and V. Mehrmann, Backward Errors for Hermitian, skew-Hermitian, H-even and H-odd matrix polynomials. Linear and Multilinear Algebra, Vol. 61, 1244-1266, 2013. DOI: 10.1080/03081087.2012.746331 |
158 | A.K. Baum and V. Mehrmann, Numerical integration of positive linear differential-algebraic systems. Numerische Mathematik, Vol. 124, 279-307, 2013. DOI: 10.1007/s00211-013-0514-z |
159 | O. Holtz, V. Mehrmann and H. Schneider, Matrices that commute with their derivative. On a letter from Schur to Wielandt. Linear Algebra and its Applications, Vol. 438, 2574-2590, 2013. DOI: 10.1016/j.laa.2012.10.010 |
160 | N.H. Du, V.H. Linh and V. Mehrmann, Robust stability of differential-algebraic equations. DAE Forum, Surveys in Differential-Algebraic Equations I, A. Ilchmann and T. Reis (edtrs), pp. 63-96, 2013. |
161 | V. Mehrmann, Index concepts for differential-algebraic equations. Preprint 2012-03, Inst. f Mathematik, TU Berlin, www.math.tu-berlin.de/preprints/ Encyclopedia Applied and Computational Mathematics, B. Engquist (Ed), Soringer Verlag, 2015. |
162 | S. Friedland, V. Mehrmann, R. Pajerola and S.K. Suter. On best rank one approximation of tensors. Numerical Linear Algebra with Applications, Vol. 20, 942-955, 2014. |
163 | V. Mehrmann and F. Poloni. Using permuted graph bases in H-infinity control. Automatica, Vol. 49, 1790-1797, 2013. DOI: 10.1016/j.automatica.2013.02.039, 2013 |
164 | D.S. Mackey, N. Mackey, C. Mehl and V. Mehrmann. Skew-symmetric matrix polynomials and their Smith forms, Appeared electronically in Linear Algebra and its Applications, Vol. 438, 4625-4653, 2013. DOI: 10.1016/j.laa.2013.02.010 |
165 | P. Kunkel, V. Mehrmann and L. Scholz. Self-adjoint differential-algebraic equations. Preprint 13/2011 Institut f. Mathematik, TU Berlin, www.math.tu-berlin.de/preprints, Appeared electronically in Mathematics of Control Signals and Systems, Vol. 26, 47-76, 2013. DOI: 10.1007/s00498-013-0109-3 |
166 | V. Mehrmann and L. Scholz. Self conjugate differential and difference operators arising in the optimal control of descriptor systems. Operators and Matrices, Vol. 8, 659-682, 2014. |
167 | C. Mehl, V. Mehrmann, A.C.M. Ran and L. Rodman. Eigenvalue perturbation theory for symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. BIT, Numerical Mathematics. Vol 54, 219-255, 2013. DOI: 10.1007/s10543-013-0451-3 |
168 | E. Emmrich and V. Mehrmann. Operator differential-algebraic equations arising in fluid dynamics. Computational Methods in Applied Mathematics, Vol. 13, 443-470, 2013. DOI: 10.1515/cmam-2013-0018. |
169 | N.H. Du, V.H. Linh, V. Mehrmann and D.D. Thuan. Stability and robust stability of linear time-invariant delay differential-algebraic equations. SIAM Journal Matrix Analysis and Applications, Vol. 34, 1631-1654, 2013. DOI: 10.1137/130926110. |
170 | V.H. Linh and V. Mehrmann. Efficient integration of matrix-valued non-stiff DAEs by half-explicit methods. Journal of Computational and Applied Mathematics, Vol. 262, 346-360, 2013. DOI: 10.1016/j.cam.2013.09.072 |
171 | C. Carstensen, J. Gedicke, V. Mehrmann, and A. Miedlar. An adaptive finite element method with asymptotic saturation for eigenvalue problems. Numerische Mathematik, Vol. 128, 615-634, 2014. |
172 | V. Mehrmann and P. Van Dooren. Basic numerical methods for the analysis and design of linear time invariant dynamical systems. Ecyclopedia of Systems and Control, 71-77, Springer, London, 2015. |
173 | D.S. Mackey, N. Mackey, C. Mehl, and V. Mehrmann. Möbius transformations of matrix polynomials. Linear Algebra and its Applications. Vol. 470, 120-184, 2015. |
174 | P. Ha, V. Mehrmann, and A. Steinbrecher. Analysis of linear variable coefficients delay differential-algebraic equations. Journal of Dynamics and Differential Equations. Vol. 26, 889-914, 2014. |
175 | V. Mehrmann and H. Xu. Structure preserving deflation of infinite eigenvalues in structured pencils. Electronic Transactions on Numerical Analysis. Vol. 44, 1-24, 2014. |
176 | M. Lemke, A. Miedlar, H. Reiss, V. Mehrmann and J. Sesterhenn. Model reduction of reactive processes. Active Flow and Combustion Control. R. King (ed). Notes on Numerical Fluid Dynamics and Multidisciplinary Design, Vol. 127, 397-413, Springer Verlag, Heidelberg, 2014. |
177 | V. Mehrmann and D.D. Thuan. Stability analysis of implicit difference equations under restricted perturbations. SIAM Journal on Matrix Analysis and Applications. Vol. 36, 178-202, 2015. |
178 | P. Das and V. Mehrmann. Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. BIT Numerical Mathematics, Vol. 56, 51-76, 2016. DOI: 10.1007/s100543-015-0559-8. |
179 | P. Benner, P. Losse, V. Mehrmann, and M. Voigt. Numerical Linear Algebra Methods for linear differential-algebraic equations: A survey. DAE Forum. Surveys in Differential-Algebraic Equations III, pp. 117-170, 2015. |
180 | C. Mehl, V. Mehrmann and M. Wojtylak. On the distance to singularity via low rank perturbations. Operators and Matrices. Vol 9. 733-772, 2015. |
181 | C. Mehl, V. Mehrmann, A.C.M. Ran, and L. Rodman. Eigenvalue perturbation theory of structured matrices and their sign characteristic under generic structured rank-one perturbations. Linear and Multilinear Algebra, Vol. 64, 527-556, 2016. DOI: 10.1080/03081087.2015.1053425. |
182 | P. Ha and V. Mehrmann. Analysis and numerical solution of linear delay differential-algebraic equations. BIT Numerical Mathematics, Vol. 56, 633-657, 2016. DOI: 10.1007/s10543-015-0577-6 |
183 | F. Poloni and V. Mehrmann. An inverse-free ADI algorithm for computing Lagrangian invariant subspaces. Numerical Linear Algebra with Applications, Vol. 23, 147-168, 2016. DOI; 10.1002/nla.2018 |
184 | A.E. Gutermann. O.V. Markova, and V. Mehrmann. Lengths of quasi-commutative pairs of matrices. Linear Algebra and its Applications, Vol. 498, 450-470, 2016. |
185 | T.-M. Huang, W.-W. Lin, and V. Mehrmann. A Newton-type method with non-equivalence deflation for nonlinear eigenvalue problems arising in photonic Crystal modeling. SIAM Journal Scientific Computing, Vol. 38, B 191-B 218, 2016. |
186 | C. Conrads, V. Mehrmann, and A. Miedlar. Adaptive numerical solution of eigenavlues arising from finite element models. AMLS vs. AFEM. Contemporary Mathematics, Vol 658, 197-225, 2016. |
187 | S.S. Ahmad and V. Mehrmann. Backward errors and pseudospectra for structured nonlinear eigenvalue problems. Operators and Matrices, Vol. 10, 539-556, 2016. |
188 | N. Gräbner, V. Mehrmann, S. Quraishi, C. Schröder, and U. von Wagner. Numerical methods for parametric model reduction in the simulation of disc brake squeal. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 96, 1388-1405, 2016. DOI: 10.1002/zamm.201500217 |
189 | G. Kutyniok, V. Mehrmann and P. Petersen. Regularization and numerical solution of the inverse scattering problem using shearlet frames. Journal of Inverse and Ill-posed Problems, Vol. 25, 287-309, 2016. |
190 | C. Mehl, V. Mehrmann and P. Sharma. Stability radii for linear Hamiltonian systems with dissipation under structure-preserving perturbations. SIAM Journal matrix Analysis and Applications. Vol. 37, 1625-1654, 2016. |
191 | V. Mehrmann, V. Noferini, F. Tisseur and H. Xu. On the sign characteristics of Hermitian matrix polynomials. Linear Algebra and its Applications. Vol. 511, 328-364, 2016. |
192 | C. Mehl, V. Mehrmann and M. Wojtylak. Parameter-dependent rank-one perturbations of singular Hermitian pencils. SIAM Journal Matrix Analysis and Applications. Vol. 38-1, 72-95, 2017. |
193 | C. Beattie, S. Gugercin and V. Mehrmann. Model reduction for large-scale dynamical systems with inhomogeneous initial conditions. Systems and Control Letters. Vol. 99, 99-106, 2017. |
194 | J.-S. Schäpel, S. Wolff, P. Schulze, P. Berndt, R. Klein, V. Mehrmann and R. King. State estimation for reactive Euler equations by Kalman filtering. CEAS Aeronautical Journal. Vol. 8, 261-270, 2017. |
195 | C. Mehl, V. Mehrmann and P. Sharma. Stability radii for real linear Hamiltonian with perturbed dissipation. BIT Numerical Mathematics. Vol. 57, 811-843, 2017. |
196 | N. Guglielmi, C. Lubich and V. Mehrmann. On the nearest singular matrix pencils. SIAM Journal Matrix Analysis and Applications. Vol. 38,776-806, 2017. |
197 | S. Datta and V. Mehrmann. Computation of state reachable points of second operator linear time-invariant descriptor systems. Electronic Journal of Linear Algebra. Vol 32, 301-316, 2017. |
198 | J. J. Stolwijk and V. Mehrmann. Error analysis and model adaptivity for flows in gas networks. Analele Stiintifice ale Universitatii Ovidius Constanta. Seria Matematica. To appear 2018. |
199 | S. Bublitz, E. Esche, G. Tolksdorf, V. Mehrmann and J. U. Repke. Analysis and decomposition for improved convergence of nonlinear process models in chemical engineering. Chemie Ingenieur Technik. Vol 89, 2011-2013, 2017. |
200 | H. Egger, T. Kugler, B. Liljegren-Sailer, N. Marheineke and V. Mehrmann. On structure preserving model reduction for damped wave propagation in transport networks. SIAM Journal Scientific Computing. Vol 40, A221-A365, 2018. |
201 | N. Gillis, V. Mehrmann and P. Sharma. Computing nearest stable matrix pairs. Numerical Linear Algebra with Applications. Vol. 25, e2153,2018. |
202 | P. Domschke, A. Dua, J. J. Stolwijk, J. Lang and V. Mehrmann. Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy. Electronic Transactions Numerical Analysis. Vol. 48, 97-113, 2018. |
203 | J. Reiss, P. Schulze, J. Sesterhenn and V. Mehrmann. The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena. SIAM Journal Scientiic Computing. Vol. 40-3, A 1322-A1344, 2018. |
204 | A. Moses Badlyan, B. Maschke, C. Beattie and V. Mehrmann. Open physical systems: from GENERIC to port-Hamiltonian systems. 23rd Symposium on Mathematical Theory of Networks and Systems, Hong-Kong, pp. 204-211, 2018. |
205 | P. Kunkel and V. Mehrmann. Regular solutions of hybrid DAE systems and regularization techniques. BIT Numerical Mathematics. Vol 58, 1049-1077, 2018. |
206 | P. Schulze, J. Reiss and V. Mehrmann. Shifted proper orthogonal decomposition model reduction for pulsed detonation combustion. Active Flow and Combustion Control 2018. R. King (Ed.) Springer Nature Switzerland, 271-286, 2019. arxiv.org/abs/1803.01805 |
207 | V. Mehrmann, M. Schmidt and J. Stolwijk. Model and discretization error adaptivity within stationary gas transport. Vietnam Journal of Mathematics, Vol. 46, 779-801, 2018. arxiv.org/abs/1712.02745 |
208 | A. Guterman, O.V. Markova and V. Mehrmann. Length realizability for pairs of quasi-commuting matrices. Linear Algebra and its Applications, Vol 568,135-154, 2019. arxiv.org/abs/1801.05018 |
209 | C. Mehl, V. Mehrmann and M. Wojtylak. Linear algebra properties of dissipative Hamiltonian descriptor systems. SIAM Journal Matrix Analysis and Applications. Vol. 39, 1489-1519, 2018. arxiv.org/abs/1801.02214 |
210 | M. Eisenmann, E. Emmrich and V. Mehrmann. Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semidefinite data. Evolution Equations and Control Theory. Vol 8. 315-342, 2019. arxiv.org/abs/1803.11152 |
211 | B. Rüffler, V. Mehrmann and F. Hante. Optimal model switching for gas flow in pipe networks. Networks and Heterogeneous Media. Vol 13, 641-661, 2018. |
212 | C. Mehl, V. Mehrmann and P. Sharma. Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control. The Electronic Journal of Linear Algebra. Vol. 34, 562-560, 2018. repository.uwyo.edu/ela/vol34/iss1/39 |
213 | V. Mehrmann, R. Morandin, S. Olmi and E. Schöll. Qualitative stability and synchronicity analysis of power networks in port-Hamiltonian form. Chaos: An interdisciplinary Journal of Nonlinear Science. Vol. 28, 101102, 2018. arxiv.org/abs/1712.03160 |
214 | C.A. Beattie, V. Mehrmann, H. Xu and H. Zwart. Linear port-Hamiltonian descriptor systems. Mathematics of Control Signals and Systems, Vol. 30, 17, 2018. arxiv.org/abs/1705.0908 |
215 | C.A. Beattie, V. Mehrmann and P. Van Dooren. Robust representation of passive systems. Automatica, Vol. 100, 182-186, 2019. arxiv.org/abs/1801.05018 |
216 | S. Hauschild, N. Marheineke and V. Mehrmann. Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems. Control and Cybernetics, Vol. 48, 125-152, 2016. arxiv.org/abs/1904.13326 |
217 | V. Mehrmann and P. Van Dooren. Optimal robustness of port-Hamiltonian systems. SIAM Journal Matrix Analysis and Applications. Vol. 41, 134-151, 2020. arxiv.org/abs/1904.13326 |
218 | N. Aliyev, V. Mehrmann and E. Mengi. Computation of stability radii for large-scale dissipative Hamiltonian systems. Advances in Computional Mathematics. To appear. 2020. arxiv.org/abs/1808.03574 |
219 | C.A. Beattie, S. Gugercin and V. Mehrmann. Structure preserving interpolatory model reduction for port-Hamiltonian differential-algebraic systems. Festschrift to honor the 70th birthday of A. Antoulas. To appear 2021. arxiv.org/abs/1910.05674. |
220 | R. Morandin and V. Mehrmann. Structure preserving discretization of port-Hamiltonian descriptor systems. Proceedings of the 58th IEEE confernce on decision and control, Nice 2019, 6863-6868. arxiv.org/abs/1903.10451 |
221 | M. Manuoglu and V. Mehrmann. A robust iterative scheme for symmetric indefinite systems. SIAM Journal on Scientific Computing, Vol. 41, A1733--A1752, 2019. arxiv.org/abs/1805.12417 |
222 | S.A. Hauschild, N. Marheineke, V. Mehrmann, J. Mohring, A. Moses Badlyan, M. Rein, and M. Schmidt. Port-Hamiltonian modeling of district heating networks. DAE Forum, Progress in Differential-Algebraic Equations, 333-355, 2021. arxiv.org/abs/1908.11226 |
223 | D. Bankmann, V. Mehrmann, Y. Nesterov, and P. Van Dooren, Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis. Vietnam Journal of Mathematics, Vol. 48, 633-660, 2020. arxiv.org/abs/1904.8202 |
224 | C. Mehl, V. Mehrmann, and M. Wojtylak. Distance problems for dissipative Hamiltonian systems and related matrix polynomials. Linear Algebra and its Applications, Vol. 623, 335--366, 2021. arxiv.org/abs/2001.08902 |
225 | V. Mehrmann and P. Van Dooren. Optimal robustnes of discrete-time passive systems. IMA Journal of mathematical Control and Information, Vol. 37, 1248-1269, 2020. arxiv.org/abs/1909.06871 |
226 | R. Krug, V. Mehrmann, and M. Schmidt. Nonlinear optimization of disctrict heating networks. Optimization and Engineering, Vol.22, 783-819, 2021 http:/arxiv/abs/1910.06453. arxiv.org/abs/1910.06453 |
227 | A. Gonzales-Zumba, P. Fernandez-de-Cordoba, J. Cortes, and V. Mehrmann. Stability assesmentof stochstic differential-algebraic systems via Lyapunov exponents with an application to power systems. Mathematics, Vol. 8, 1393, 2020. arxiv.org/abs/2005.12976. |
228 | L. Grubisic, M. Ljulj, V. Mehrmann, and J. Tambaca. Modeling and discretization methods for the numerical simulation of elastic stents. Electronic Transactions on Numerical Analysis, Vol 54, 1-30, 2021. arxiv.org/abs/1812.10096 |
229 | V. Mehrmann and P. Van Dooren. Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems. SIAM Journal on Matrix Analysis and Applications, Vol. 42, 1-16, 2021. arxiv.org/abs/2005.04744 |
230 | F. De Teran, C. Mehl, and V. Mehrmann. Low rank perturbation of regular matrix pencils with symmetry structures, Foundations of Computational Mathematics, 1-55, Springer Verlag, 2021. arxiv.org/abs/1902.00444 |
231 | M. Manuoglu and V. Mehrmann. A two level iterative scheme for general sparse liner systems based on approximate skew-symmetrizers. Electronic Transactions on Numerical Analysis, Vol 54, 370-391, 2021. arxiv.org/abs/2009.06954 |
232 | R. Altmann, V. Mehrmann, and B. Unger. Port-Hamiltonian formulations of poroelastic network models. Mathematical and Computer Modeling of Dynamical Systems, Vol. 27, 429-452, 2021. arxiv.org/abs/2012.01949 |
233 | A. Binder, O. Jadhav and V. Mehrmann. Model order reduction for parametric high-dimensional models in the analysis of financial risk. Journal of Mathematics in Industry, Vol 11:3, 2021. arxiv.org/abs/2002.11976 |
234 | R. Berner, V. Mehrmann, E. Schöll, and S. Yanchuk. The multiplex decomposition. An analytic framework for multilayer dynamical networks. SIAM Journal on Applied Dynamical Systems, Vol. 20, 1752-1772, 2021. arxiv.org/abs/2103.10373 |
235 | F. Achleitner, A. Arnold,, and V. Mehrmann. Hypocoercivity and controllability in linear semidissipative ODEs and DAEs. To appear in ZAMM, Zeitschrift für Angewandte Mathematik und Mechanik, 2021. arxiv.org/abs/2104.07619 |