Bidiagonal decompositions of oscillating systems of vectors

DOI10.1016/j.laa.2007.12.002zbMath1143.15021OpenAlexW2061064212MaRDI QIDQ924326

Plamen Koev, Froilán M. Dopico

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.12.002

zbMATH Keywords

eigenvectorsvariation diminishing propertytotally positive matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

Tests for the recognition of total positivity ⋮ Characterizations of rectangular totally and strictly totally positive matrices

Uses Software

• TNTool

Cites Work

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• Elementary bidiagonal factorizations
• Total positivity and Neville elimination
• Some properties of totally positive matrices
• A reduction theorem for totally positive matrices
• Total Positivity, $QR$ Factorization, and Neville Elimination
• Accurate Computations with Totally Nonnegative Matrices
• Bidiagonalization of oscillatory matrices^∗
• Bidiagonal Factorizations of Totally Nonnegative Matrices
• Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices
• Total positivity: tests and parametrizations.

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