A Canonical Form for Max Plus Symmetric Matrices and Applications

A Canonical Form for Max Plus Symmetric Matrices and Applications

We develop a canonical form for congruence of max plus symmetric matrices. We use the same canonical form to get results in the generalized eigenvector problem. We have also utilized the canonical form to find all symmetric matrices that commute with a given symmetric matrix.

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Bibliographische Detailangaben
Hauptverfasser: Mukherjee, Himadri, M, Askar Ali
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Rings and Algebras
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Beschreibung
Zusammenfassung:We develop a canonical form for congruence of max plus symmetric matrices. We use the same canonical form to get results in the generalized eigenvector problem. We have also utilized the canonical form to find all symmetric matrices that commute with a given symmetric matrix.
DOI:10.48550/arxiv.2410.12371