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A Note on Pencils of Hermitian or Symmetric Matrices

Authors :
Abraham Berman
Adi Ben-Israel
Source :
SIAM Journal on Applied Mathematics. 21:51-54
Publication Year :
1971
Publisher :
Society for Industrial & Applied Mathematics (SIAM), 1971.

Abstract

Necessary and sufficient conditions are given for the pencil generated by two, or more, Hermitian matrices to contain a positive definite matrix.

Subjects

Subjects :
Hermitian symmetric space
Pure mathematics
Triple system
Higher-dimensional gamma matrices
Applied Mathematics
Matrix pencil
Symmetric matrix
Positive-definite matrix
Hermitian matrix
Pencil (mathematics)
Mathematics

Details

ISSN :
1095712X and 00361399
Volume :
21
Database :
OpenAIRE
Journal :
SIAM Journal on Applied Mathematics
Accession number :
edsair.doi...........682e0b15c7531545dd00285b18e605b4
Full Text :
https://doi.org/10.1137/0121007
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