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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 -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. To appear in Operators and Matrices, 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) 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, 2016.

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