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Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H-selfadjoint matrices.
- Source :
- Linear & Multilinear Algebra; May2024, Vol. 72 Issue 7, p1160-1169, 10p
- Publication Year :
- 2024
-
Abstract
- For real matrices selfadjoint in an indefinite inner product there are two special canonical Jordan forms, that is (i) flipped orthogonal (FO) and (ii) γ-conjugate symmetric (CS). These are the classical Jordan forms with certain additional properties induced by the fact that they are H-selfadjoint. In this paper, we prove that for any real H-selfadjoint matrix, there is a γ-FOCS Jordan form that is simultaneously flipped orthogonal and γ-conjugate symmetric. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 72
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 177218644
- Full Text :
- https://doi.org/10.1080/03081087.2023.2173132