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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 [1]  
  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 [2]
  4. M. Karow and E. Mengi. Matrix polynomials with specified eigenvalues. Linear Algebra Appl. 466:457-482, 2015. Download [3]
  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 [4]
  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 [5]
  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 [6]
  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 [7]         
  9. M. Karow. Structured pseudospectra for small perturbations. SIAM. J. Matrix Anal. & Appl. 32(4):1383-1398, 2011. Download [8]
  10.  M. Karow.  Structured pseudospectra and the condition of a nonderogatory eigenvalue. SIAM. J. Matrix Anal. & Appl. 31:2860-2881, 2010. Download  [9]                                                                      
  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 [10]                                                  
  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 [11]                                   
  13. M. Karow, D. Kressner. On the structured distance to uncontrollability. Systems & Control Letters, 58(2):128-132, 2009.  Download [12]                                                                                                  
  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 [13]                                                                                  
  15. M. Karow, D. Kressner, F. Tisseur. Structured Eigenvalue Condition Numbers. SIAM J. Matrix Anal. Appl. 28(4):1052-1068, 2006. Download [14]                                                                                    
  16. M. Karow. Eigenvalue condition numbers and a formula of Burke, Lewis and Overton. Electron. J. Linear Algebra 15:143-153, 2006. Download  [15]                                                                                        
  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 [16]                                                   
  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 [17]                                                                                  
  19. M. Karow. On real spectral value sets of real normal matrices. ZAMM, Z. Angew. Math. Mech. 79, Suppl. 3, 909-910, 1999.  pdf [18]

 

 

Other Publications

  • Olga Holtz, Michael Karow. Real and Complex Operator Norms.   arXiv:math/0512608v1 [19],  pdf [20]                                                                         
  • 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 [21]                    
  • 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 [22]

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 [23]                                                                                            
  • Michael Karow. Structured pseudospectra and the condition of a nonderogatory eigenvalue. ILAS07, Shanghai, July 2007.  pdf [24]              

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 [25]
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