Positive bidiagonal factorization of tetradiagonal Hessenberg matrices

DOI10.1016/j.laa.2023.08.001zbMath1526.15013arXiv2210.10728OpenAlexW4385651742MaRDI QIDQ6051136

Ana Foulquié Moreno, Amílcar Branquinho, Manuel Mañas

Publication date: 19 September 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.10728

zbMATH Keywords

continued fractionstotally nonnegative matricesoscillatory matricesGauss-Borel factorizationbidiagonal factorizationbanded Hessenberg matricesoscillatory retracted matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Positive matrices and their generalizations; cones of matrices (15B48) Other special orthogonal polynomials and functions (33C47) Linear difference operators (47B39) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Toeplitz, Cauchy, and related matrices (15B05) Nonselfadjoint operators (47B28)

Related Items

Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials, Jacobi-Piñeiro Markov chains

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