Takagi Factorization of Matrices Depending on Parameters and Locating Degeneracies of Singular Values

DOI10.1137/21M1456273OpenAlexW3208015500WikidataQ114073952 ScholiaQ114073952MaRDI QIDQ5094215

Alessandro Pugliese, Luca Dieci, Alessandra Papini

Publication date: 2 August 2022

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.15918

zbMATH Keywords

Takagi factorizationmatrices depending on parameterscoalescence of singular valuesloss of rank

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• Unnamed Item
• Singular value decomposition for the Takagi factorization of symmetric matrices
• Inhomogeneous plane waves
• Singular value decompositions of complex symmetric matrices
• Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions
• Smoothness and Periodicity of Some Matrix Decompositions
• Approximating Coalescing Points for Eigenvalues of Hermitian Matrices of Three Parameters
• Two-Parameter SVD: Coalescing Singular Values and Periodicity
• A Divide-and-Conquer Method for the Takagi Factorization
• Matrix Analysis
• On Smooth Decompositions of Matrices
• Spectral statistics of non-Hermitian random matrix ensembles
• Singularities in the spectra of random matrices
• DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES

This page was built for publication: Takagi Factorization of Matrices Depending on Parameters and Locating Degeneracies of Singular Values