A test and bidiagonal factorization for certain sign regular matrices

DOI10.1016/j.laa.2012.07.037zbMath1269.15013OpenAlexW2005928200MaRDI QIDQ1931736

Rong Huang

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.07.037

zbMATH Keywords

Neville eliminationtotally nonnegative matrixsign regular matrixbidiagonal factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Bidiagonal decompositions and total positivity of some special matrices, Accurate eigenvalues of some generalized sign regular matrices via relatively robust representations, On the spectral properties of nonsingular matrices that are strictly sign-regular for some order with applications to totally positive discrete-time systems, Accurate computation of eigenvalues of generalized sign regular quasi-Said-Ball-Vandermonde matrices, Computing singular value decompositions of parameterized matrices with total nonpositivity to high relative accuracy, Characterization, perturbation, and interval property of certain sign regular matrices, Computing eigenvalues of quasi-generalized Vandermonde matrices to high relative accuracy, Relative Perturbation Analysis for Eigenvalues and Singular Values of Totally Nonpositive Matrices

Cites Work

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