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 |
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Pages (from-to) | 183-197 |
Number of pages | 15 |
Journal | Linear Algebra and Its Applications |
Volume | 191 |
Issue number | C |
DOIs | |
State | Published - Sep 15 1993 |
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics