A minimax characterization for eigenvalues of hermitian pencils. II

B. Najman; Q. Ye

doi:10.1016/0024-3795(93)90514-O

A minimax characterization for eigenvalues of hermitian pencils. II

B. Najman, Q. Ye

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We establish a minimax characterization for extreme real eigenvalues of a general hermitian pencil λA - B. The matrix A is allowed to be singular, so infinity may be an eigenvalue. It is also proved that the extremum can be taken over real subspaces if A and B are real.

Original language	English
Pages (from-to)	183-197
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	191
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(93)90514-O
State	Published - Sep 15 1993

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(93)90514-O

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title = "A minimax characterization for eigenvalues of hermitian pencils. II",

abstract = "We establish a minimax characterization for extreme real eigenvalues of a general hermitian pencil λA - B. The matrix A is allowed to be singular, so infinity may be an eigenvalue. It is also proved that the extremum can be taken over real subspaces if A and B are real.",

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AB - We establish a minimax characterization for extreme real eigenvalues of a general hermitian pencil λA - B. The matrix A is allowed to be singular, so infinity may be an eigenvalue. It is also proved that the extremum can be taken over real subspaces if A and B are real.

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JO - Linear Algebra and Its Applications

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A minimax characterization for eigenvalues of hermitian pencils. II

Abstract

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