Simultaneous diagonalization via congruence: Nondegenerate families of symmetric matrices

In this letter, we give necessary and sufficient conditions for the real symmetric matrices $A_1 , \ldots , A_m$ to ensure they are simultaneously diagonalizable via congruence.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-27
DOI
https://doi.org/10.48550/arxiv.2610.37355
Primary Topic
Matrix Theory and Algorithms
Type
preprint
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preprint

Simultaneous diagonalization via congruence: Nondegenerate families of symmetric matrices

Leandro G. Gomes
arXiv (Cornell University)
Matrix Theory and Algorithms
preprint

Simultaneous diagonalization via congruence: Nondegenerate families of symmetric matrices

Leandro G. Gomes
preprint en

Abstract

In this letter, we give necessary and sufficient conditions for the real symmetric matrices $A_1 , \ldots , A_m$ to ensure they are simultaneously diagonalizable via congruence.

arXiv (Cornell University)
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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Simultaneous diagonalization via congruence: Nondegenerate families of symmetric matrices — Leandro G. Gomes · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS