A minimax characterization for eigenvalues of hermitian pencils

B. Najman; Q. Ye

doi:10.1016/0024-3795(91)90071-4

A minimax characterization for eigenvalues of hermitian pencils

B. Najman
, Q. Ye

Producción científica: Article › revisión exhaustiva

12 Citas (Scopus)

Resumen

We establish a minimax characterization for extreme real eigenvalues of a general hermitian matrix pencil. The results extend the previous generalizations for real diagonable hermitian pencils and the classical Courant-Fischer theorem.

Idioma original	English
Páginas (desde-hasta)	217-230
Número de páginas	14
Publicación	Linear Algebra and Its Applications
Volumen	144
N.º	C
DOI	https://doi.org/10.1016/0024-3795(91)90071-4
Estado	Published - ene 15 1991

Nota bibliográfica

Funding Information:
*On leave from University of Zagreb ‘Research supported by a University of Calgary Research Fellowship

Financiación

*On leave from University of Zagreb ‘Research supported by a University of Calgary Research Fellowship

Financiadores
University of Calgary

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(91)90071-4

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

abstract = "We establish a minimax characterization for extreme real eigenvalues of a general hermitian matrix pencil. The results extend the previous generalizations for real diagonable hermitian pencils and the classical Courant-Fischer theorem.",

author = "B. Najman and Q. Ye",

note = "Funding Information: *On leave from University of Zagreb {\textquoteleft}Research supported by a University of Calgary Research Fellowship",

year = "1991",

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doi = "10.1016/0024-3795(91)90071-4",

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AU - Najman, B.

AU - Ye, Q.

N1 - Funding Information: *On leave from University of Zagreb ‘Research supported by a University of Calgary Research Fellowship

PY - 1991/1/15

Y1 - 1991/1/15

N2 - We establish a minimax characterization for extreme real eigenvalues of a general hermitian matrix pencil. The results extend the previous generalizations for real diagonable hermitian pencils and the classical Courant-Fischer theorem.

AB - We establish a minimax characterization for extreme real eigenvalues of a general hermitian matrix pencil. The results extend the previous generalizations for real diagonable hermitian pencils and the classical Courant-Fischer theorem.

UR - https://www.scopus.com/pages/publications/44949289223

UR - https://www.scopus.com/pages/publications/44949289223#tab=citedBy

U2 - 10.1016/0024-3795(91)90071-4

DO - 10.1016/0024-3795(91)90071-4

M3 - Article

AN - SCOPUS:44949289223

SN - 0024-3795

VL - 144

SP - 217

EP - 230

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

A minimax characterization for eigenvalues of hermitian pencils

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Financiación

ASJC Scopus subject areas

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