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

Producción científica: Article › revisión exhaustiva

7 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	183-197
Número de páginas	15
Publicación	Linear Algebra and Its Applications
Volumen	191
N.º	C
DOI	https://doi.org/10.1016/0024-3795(93)90514-O
Estado	Published - sept 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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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

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