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Numerische Lineare AlgebraDr. Michael Karow - Publications

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Dr. habil. Michael Karow

Refereed articles

  1. N. Roy, M. Karow, S. Bora, G. Armentia. Approximation of pseudospectra of block triangular matrices. To appear in Linear Algebra Appl. Download
  2. N. Gilles, M. Karow, P. Sharma. Approximating the nearest stable discrete-time system. Linear Algebra Appl. 573:37-53, 2019. Download  
  3. S. Bora, M. Karow, C. Mehl and P. Sharma. Structured eigenvalue backward errors of matrix pencils and polynomials with palindromic structures. SIAM J. Matrix Anal. Appl. 36:393-416, 2015. Download
  4. M. Karow and E. Mengi. Matrix polynomials with specified eigenvalues. Linear Algebra Appl. 466:457-482, 2015. Download
  5. S. Bora, M. Karow, C. Mehl and P. Sharma. Structured eigenvalue backward errors of matrix pencils and polynomials with Hermitian and related structures. SIAM J. Matrix Anal. Appl. 2014 35(2):453-475, 2014. Download
  6. M. Karow, D. Kressner, and E. Mengi. Nonlinear eigenvalue problems with specified eigenvalues. SIAM J. Matrix Anal. Appl. 35(3):819-834, 2014. Download
  7. M. Karow, and D. Kressner. On a perturbation bound for invariant subspaces of matrices.
    SIAM. J. Matrix Anal. Appl. 35(2):599-618, 2014. Download
  8. M. Karow. μ-values and spectral value sets for linear perturbation classes defined by a scalar product. SIAM. J. Matrix Anal. & Appl. 32, 845-865, 2011. Download          
  9. M. Karow. Structured pseudospectra for small perturbations. SIAM. J. Matrix Anal. & Appl. 32(4):1383-1398, 2011. Download
  10.  M. Karow.  Structured pseudospectra and the condition of a nonderogatory eigenvalue. SIAM. J. Matrix Anal. & Appl. 31:2860-2881, 2010. Download                                                                       
  11. A. Alam, S. Bora, M. Karow, V. Mehrmann, J. Moro. Perturbation theory for Hamiltonian matrices and the distance to bounded realness. SIAM. J. Matrix Anal. & Appl. 32, 484 -514, 2011. Download                                                  
  12. M. Karow, E. Kokiopoulou, and D. Kressner. On the computation of structured singular values and pseudospectra. Systems Control Lett., 59(2):122-129, 2010.                                              Software package 'Structured Eigtool': information and download                                   
  13. M. Karow, D. Kressner. On the structured distance to uncontrollability. Systems & Control Letters, 58(2):128-132, 2009.  Download                                                                                                  
  14. M. Karow, D. Hinrichsen, A. J. Pritchard. Interconnected systems with uncertain couplings: explicit formulae for μ-values, spectral value sets and stability radii. SIAM J. Control Opt. 45(3):856-884, 2006. Download                                                                                  
  15. M. Karow, D. Kressner, F. Tisseur. Structured Eigenvalue Condition Numbers. SIAM J. Matrix Anal. Appl. 28(4):1052-1068, 2006. Download                                                                                     
  16. M. Karow. Eigenvalue condition numbers and a formula of Burke, Lewis and Overton. Electron. J. Linear Algebra 15:143-153, 2006. Download                                                                                         
  17. E. Gutkin, E. Jonckheere, M. Karow. Convexity of the joint numerical range: Topological and differential geometric viewpoints. Linear Algebra Appl., 376: 143-171, 2004. Download                                                    
  18. M. Karow. Self-adjoint operators and pairs of Hermitian forms over the quaternions. Linear Algebra Appl. 299, No.1-3, 101-117, 1999. Download                                                                                   
  19. M. Karow. On real spectral value sets of real normal matrices. ZAMM, Z. Angew. Math. Mech. 79, Suppl. 3, 909-910, 1999.  pdf

 

 

Other Publications

  • Olga Holtz, Michael Karow. Real and Complex Operator Norms.   arXiv:math/0512608v1,  pdf                                                                         
  • Michael Karow, Diederich Hinrichsen, Anthony J. Pritchard. Stablility radii and spectral value sets for generalized Gershgorin perturbations. Proceedings CDC06, pp. 5760-5765. San Diego, Dec. 2006. pdf                    
  • Anna Jahnke, Felix Ziegler, Michael Karow. Re-evaluation of the Honigman-process: thermodynamical heat store for the supply of electricity and refrigeration. Heat powered cycles conference. TU Berlin, September 2009. pdf

Talks

  • Michael Karow. Eigenvalue condition numbers for structured perturbations. An approach via spectral value sets and μ-functions. Workshop on structured perturbations and distance problems , Bedlewo, March 2007.  pdf                                                                                            
  • Michael Karow. Structured pseudospectra and the condition of a nonderogatory eigenvalue. ILAS07, Shanghai, July 2007.  pdf              

Theses

  • Michael Karow. Hermitesch-symmetrische Ungleichungen und der reelle Stabilitätsradius. Diploma Thesis, Universität Bremen, 1997.                         
  • Michael Karow. Geometry of spectral value sets. PhD Thesis, Universität Bremen, 2003.  ps-file

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