Similarity to totally positive matrices and accurate computations

DOI10.1016/j.laa.2015.09.010zbMath1330.15014OpenAlexW2096884590MaRDI QIDQ5962491

Alvaro Barreras, Juan Manuel Peña

Publication date: 12 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.09.010

zbMATH Keywords

totally positive matricesmatrix decompositionhigh relative accuracy

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Uses Software

• TNTool

Cites Work

• A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems
• A test for strict sign-regularity
• On the Schur and singular value decompositons of oscillatory matrices
• The LU-factorization of totally positive matrices
• On the extension of some total positivity inequalities
• Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices
• Total Positivity, $QR$ Factorization, and Neville Elimination
• Bidiagonal decompositions, minors and applications
• Accurate Computations with Totally Nonnegative Matrices
• The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
• Totally positive matrices
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