Publications of Christian Mehl

   
Refereed Research Articles:
 
  1. Gregory Ammar, Christian Mehl, Volker Mehrmann.
    Schur-like forms for matrix Lie groups, Lie algebras and Jordan algebras.
    Linear Algebra Appl., 287: 11-39, 1999.
    pdf-file (231k).
     
  2. Christian Mehl.
    Condensed forms for skew-Hamiltonian/Hamiltonian pencils.
    SIAM J. Matrix Anal. Appl., 21: 454-476, 1999.
    pdf-file (256k).
     
  3. Christian Mehl.
    Anti-triangular and anti-m-Hessenberg forms for Hermitian matrices and pencils.
    Linear Algebra Appl., 317: 143-176, 2000.
    pdf-file (299k).
     
  4. Christian Mehl, Volker Mehrmann, Hongguo Xu.
    Canonical forms for doubly structured matrices and pencils.
    Electron. J. Linear Algebra, 7: 112-151, 2000.
    pdf-file (351k).
     
  5. Brian Lins, Patrick Meade, Christian Mehl, Leiba Rodman.
    Normal matrices and polar decompositions in indefinite inner products.
    Linear and Multilinear Algebra, 49: 45-89, 2001.
    pdf-file (302k).
     
  6. Christian Mehl, Leiba Rodman.
    Classes of normal matrices in indefinite inner products.
    Linear Algebra Appl., 336: 71-98, 2001.
    pdf-file (261k).
     
  7. Vladimir Bolotnikov, Chi-Kwong Li, Patrick Meade, Christian Mehl, Leiba Rodman.
    Shells of matrices in indefinite inner product spaces.
    Electron. J. Linear Algebra, 9: 67-92, 2002.
    pdf-file (286k).
     
  8. Christian Mehl, Leiba Rodman.
    Symmetric matrices with respect to sesquilinear forms.
    Linear Algebra Appl., 349: 55-75, 2002.
    pdf-file (205k).
     
  9. Christian Mehl, Volker Mehrmann, Hongguo Xu.
    On doubly structured matrices and pencils that arise in linear response theory.
    Linear Algebra Appl., 380: 3-51, 2004.
    pdf-file (361k).
     
  10. Christian Mehl.
    Jacobi-like algorithms for the indefinite generalized Hermitian eigenvalue problem.
    SIAM J. Matrix Anal. Appl., 25: 964-985, 2004.
    pdf-file (259k).
     
  11. Christian Mehl, André C.M. Ran, Leiba Rodman.
    Semidefinite invariant subspaces: degenerate inner products.
    Oper. Theory Adv. Appl., 149: 467-486, 2004.
    pdf-file (218k).
     
  12. Christian Mehl, André C.M. Ran, Leiba Rodman.
    Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products.
    Electron. J. Linear Algebra, 11: 192-204, 2004.
    pdf-file (151k).
     
  13. Christian Mehl, André C.M. Ran, Leiba Rodman.
    Polar decompositions of normal operators in indefinite inner product spaces.
    Oper. Theory Adv. Appl., 162: 277-292, 2006.
    pdf-file (153k).
     
  14. Christian Mehl.
    On classification of normal matrices in indefinite inner product spaces.
    Electron. J. Linear Algebra, 15: 50-83, 2006.
    pdf-file (319k).
     
  15. Christian Mehl.
    Essential decomposition of normal matrices in real indefinite inner product spaces.
    Electron. J. Linear Algebra, 15: 84-106, 2006.
    pdf-file (254k).
     
  16. Christian Mehl, André C.M. Ran, Leiba Rodman.
    Invariant maximal positive subspaces and polar decompositions.
    Integral Equations Operator Theory, 56: 83-91, 2006.
    pdf-file (115k).
     
  17. D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann.
    Vector spaces of linearizations for matrix polynomials.
    SIAM J. Matrix Anal. Appl., 28: 971-1004, 2006.
    pdf-file (298k).
     
  18. D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann.
    Structured polynomial eigenvalue problems: good vibrations from good linearizations.
    SIAM J. Matrix Anal. Appl., 28: 1029-1051, 2006.
    pdf-file (237k).
     
  19. Christian Mehl, André C.M. Ran, Leiba Rodman.
    Extension to maximal semidefinite invariant subspaces for hyponormal matrices in indefinite inner products.
    Linear Algebra Appl., 421: 110-116, 2007.
    pdf-file (220k).
     
  20. Christian Mehl, Carsten Trunk.
    Normal matrices in degenerate indefinite inner product spaces.
    Oper. Theory Adv. Appl., 175: 193-209, 2007.
    pdf-file (167k).
     
  21. Christian Mehl.
    On asymptotic convergence of nonsymmetric Jacobi algorithms.
    SIAM J. Matrix Anal. Appl., 30: 291-311, 2008.
    pdf-file (237k).
     
  22. D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann.
    Numerical methods for palindromic eigenvalue problems: computing the anti-triangular Schur form.
    Numer. Linear Algebra Appl., 16:63-86, 2009.
    pdf-file (3.0M).
     
  23. Christian Mehl, Volker Mehrmann, André C.M. Ran, Leiba Rodman.
    Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices.
    Linear and Multilinear Algebra, 57:141-184, 2009.
    pdf-file (395k).
     
  24. Christian Mehl, Volker Mehrmann, Hongguo Xu.
    Structured decompositions for matrix triples: SVD-like concepts for structured matrices.
    Oper. Matrices, 3:303-356, 2009.
    pdf-file (410k).
     
  25. Christian Mehl, Volker Mehrmann, Hongguo Xu.
    Singular-value-like decomposition for complex matrix triples.
    J. Comput. Appl. Math., 233:1245-1276, 2010.
    pdf-file (367k).
     
  26. D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann.
    Jordan structures of alternating matrix polynomials.
    Linear Algebra Appl., 432:867-891, 2010.
    pdf-file (271k).
     
  27. Nicholas J. Higham, Christian Mehl, Françoise Tisseur.
    The canonical generalized polar decomposition.
    SIAM J. Matrix Anal. Appl., 31:2163-2180, 2010.
    pdf-file (211k).
     
  28. Mark-Alexander Henn, Christian Mehl, Carsten Trunk.
    Hyponormal and strongly hyponormal matrices in inner product spaces.
    Linear Algebra Appl., 433:1055-1076, 2010.
    pdf-file (240k).
     
  29. D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann.
    Smith forms of palindromic matrix polynomials.
    Electron. J. Linear Algebra, 22:53-91, 2011.
    pdf-file (399k).
     
  30. Christian Mehl, Volker Mehrmann, André C.M. Ran, Leiba Rodman.
    Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations.
    Linear Algebra Appl., 435:687-716, 2011.
    pdf-file (332k).
     
  31. Christian Mehl, Volker Mehrmann, André C.M. Ran, Leiba Rodman.
    Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations.
    Linear Algebra Appl., 436:4027-4042, 2012.
    pdf-file (343k).
     
  32. Christian Mehl, Volker Mehrmann, André C.M. Ran, Leiba Rodman.
    Jordan forms of real and complex matrices under rank one perturbations.
    Oper. Matrices, 7:381-398, 2013.
    pdf-file (316k).
     
  33. D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann.
    Skew-symmetric matrix polynomials and their Smith forms.
    Linear Algebra Appl., 438:4625-4653, 2013.
    pdf-file (388k).
 
Accepted or submitted for Publication:
 
  1. Christian Mehl, Volker Mehrmann, André C.M. Ran, Leiba Rodman.
    Eigenvalue perturbation theory of structured matrices under generic structured rank one perturbations: Symplectic, orthogonal, and unitary matrices.
    Technical Report No.1001, DFG Research Center Matheon, Berlin, 2013.
    Submitted for publication, 2013.
    pdf-file (479k).
     
  2. Shreemayee Bora, Michael Karow, Christian Mehl, Punit Sharma.
    Structured eigenvalue backward errors of matrix pencils and polynomials with Hermitian and related structures.
    Submitted for publication, 2013.
    pdf-file (552k).
 
Books:
 
  1. Christian Mehl.
    Compatible Lie and Jordan algebras and applications to structured matrices and pencils.
    Logos, Berlin, 1999. ISBN 978-3-89722-173-4.
     
  2. Steffen Börm, Christian Mehl.
    Numerical Methods for Eigenvalue Problems.
    De Gruyter, Berlin, 2012. ISBN 978-3-11-025033-6.
 
Book Chapters:
 
  1. Jörg Liesen, Christian Mehl.
    Matrix polynomials.
    To appear in Handbook of Linear Algebra 2nd Edition. Edited by Leslie Hogben. Discrete Mathematics and its Applications. Chapman & Hall/CRC, Boca Raton, 7.11.2013, pp. 18/1-18/18. ISBN 978-1-46-650728-9.
 
Other Publications: (This list only contains items that have not been published elsewhere.)
 
  1. Brian Lins, Patrick Meade, Christian Mehl, Leiba Rodman.
    Polar decompositions of indecomposable normal matrices in indefinite inner products: Explicit formulas and open problems.
    Preprint 2000-9, Fakultät für Mathematik, Technische Universität.
     
  2. Brian Lins, Patrick Meade, Christian Mehl, Leiba Rodman.
    Research Problem: Indefinite inner product normal matrices,
    Linear and Multilinear Algebra, 49: 261-268, 2001.
    pdf-file (preliminary version, 111k).
     
  3. Andreas Hilliges, Christian Mehl, Volker Mehrmann.
    On the solution of palindromic eigenvalue problems.
    Proceedings of the European Congress on Computational Methods in Applied Sciences and Engeneering (ECCOMAS), Jyväskylä, 24.7.-28.7.2004.
    Article.
     
  4. D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann.
    Palindromic polynomial eigenvalue problems: good vibrations from good linearizations.
    Technical Report No. 239, DFG Research Center Matheon, Berlin, 2006.
    pdf-file (294k).
 
Theses:
 
  1. Christian Mehl.
    Kompakte Hausdorffräume und ihre finalen Hüllen in Kategorien von Präkonvergenzräumen.
    Diplomarbeit, Universität Bielefeld, 1994.
     
  2. Christian Mehl.
    Compatible Lie and Jordan algebras and applications to structured matrices and pencils.
    Dissertation, Technische Universität Chemnitz, 1998.
     
  3. Christian Mehl.
    Eigenvalue problems that are structured with respect to indefinite inner products.
    Cumulative Habilitation thesis, Technische Universität Berlin, 2003.

Christian Mehl, Tuesday, 18-Jun-2013 15:46:18 CEST Back to the Homepage