A condition for the nonsymmetric saddle point matrix being diagonalizable and having real and positive eigenvalues

Autor:	Guang-Hui Cheng, Shu-Qian Shen, Ting-Zhu Huang
Rok vydání:	2008
Předmět:	Applied Mathematics Eigenvalue Diagonalizable matrix Spectral properties Of the form Spectral condition number Positive-definite matrix Combinatorics Computational Mathematics Matrix (mathematics) Saddle point matrix Saddle point Eigenvalues and eigenvectors Mathematics
Zdroj:	Journal of Computational and Applied Mathematics. 220:8-12
ISSN:	0377-0427
DOI:	10.1016/j.cam.2007.07.014
Popis:	This paper discusses the spectral properties of the nonsymmetric saddle point matrices of the form A=[ABT;-BC] with A symmetric positive definite, B full rank, and C symmetric positive semidefinite. A new sufficient condition is obtained so that A is diagonalizable with all its eigenvalues real and positive. This condition is weaker than that stated in the recent paper [J. Liesen, A note on the eigenvalues of saddle point matrices, Technical Report 10-2006, Institute of Mathematics, TU Berlin, 2006].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ff3b7f1e5d3c6956a2aeb2e63f0b893 https://doi.org/10.1016/j.cam.2007.07.014 Zobrazit plný text záznamu Full Text from ScienceDirect