PreprintCC BY 4.0arXiv
Simultaneous diagonalization via congruence: Nondegenerate families of symmetric matrices
Abstract
In this letter, we give necessary and sufficient conditions for the real symmetric matrices A1 , … , Am to ensure they are simultaneously diagonalizable via congruence.
Related
- Solving the Tikhonov Regularization of the Total Least Squares Problem by matrix simultaneous diagonalization via congruence
- Diagonalization of the Toda flow for arbitrary isospectral symmetric matrices
- Mod 3 Congruence Families for twisted signatures of string manifolds in dimensions up to twenty-eight
- Linear maps preserving families of C-symmetric operators
- The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow
BibTeX
@misc{gomes2026simultaneous,
title = {{Simultaneous diagonalization via congruence: Nondegenerate families of symmetric matrices}},
author = {Leandro G. Gomes},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37355},
eprint = {2610.37355},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37355},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Simultaneous diagonalization via congruence: Nondegenerate families of symmetric matrices
AU - Leandro G. Gomes
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37355
UR - https://arxiv.org/abs/2610.37355
AB - In this letter, we give necessary and sufficient conditions for the real symmetric matrices A_1 , … , A_m to ensure they are simultaneously diagonalizable via congruence.
ER -