Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14370
 Main Title: A note on the eigenvalues of saddle point matrices Author(s): Liesen, Jörg Type: Research Paper URI: https://depositonce.tu-berlin.de/handle/11303/15597http://dx.doi.org/10.14279/depositonce-14370 License: http://rightsstatements.org/vocab/InC/1.0/ Abstract: Results of Benzi and Simoncini (Numer. Math. 103 (2006), pp.~173--196) on spectral properties of block $2\times 2$ matrices are generalized to the case of a symmetric positive semidefinite block at the (2,2) position. More precisely, a sufficient condition is derived when a (nonsymmetric) saddle point matrix of the form $[A\;\;B^T; -B\;C]$ with $A=A^T>0$, full rank $B$, and $C=C^T\geq 0$, is diagonalizable and has real and positive eigenvalues. Subject(s): saddle point problemeigenvaluesStokes problemnormal matrices Issue Date: 1-Jun-2006 Date Available: 17-Dec-2021 Language Code: en DDC Class: 510 Mathematik MSC 2000: 65F15 Eigenvalues, eigenvectors65N22 Solution of discretized equations65F50 Sparse matrices Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin Series Number: 2006, 10 ISSN: 2197-8085 TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik Appears in Collections: Technische Universität Berlin » Publications