Set inertia-preserving matrices

Linear and Multilinear Algebra

Volumn 43, Issue 1-3, 1997, Pages 169-179

  Berman, Abraham ^a   Shasha, Dafna ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b TEL HAI COLLEGE   (Israel)

Author keywords

Inertia preserving matrices; Positive definite matrices; Scalar matrices; Set inertia preserving matrices; Stable matrices

Indexed keywords

EID: 21944456823     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: 10.1080/03081089708818523     Document Type: Article

References (6)

1. Barker, G. P., Berman, A. and Plemmons, R. J. (1978). Positive diagonal solutions to the Lyapunov equations, Linear and Multilinear Algebra, 5, 249-266.
2. Berman, A. and Shasha, D. (1991). Inertia preserving matrices, SIAM J. Matrix Anal. Appl., 12, 209-219.
3. Berman, A. and Shasha, D. (1994). Strongly inertia preserving matrices, SIAM J. Matrix Anal. Appl., 15, 729-732.
4. Hershkowitz, D. (1992). Recent directions in matrix stability, Linear Algebra Appl., 171, 161-186.
5. Ostrowski, A. and Schneider, H. (1962). Some theorems on the inertia of general matrices, J. Math. Anal. Appl., 4, 72-84.
6. Taussky, O. (1961). A generalization of a theorem by Lyapunov, J. Soc. Indust. Appl. Math., 9, 640-643.