Nonnegative matrices with prescribed extremal singular values

DOI10.1016/j.camwa.2007.11.030zbMath1145.15304OpenAlexW2162794132MaRDI QIDQ950023

Ricardo L. Soto, Mario Salas, Emedin Montaño

Publication date: 22 October 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.11.030

zbMATH Keywords

nonnegative matricessingular values

Mathematics Subject Classification ID

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

Related Items

Newton-type methods for inverse singular value problems with multiple singular values, Two-step inexact Newton-type method for inverse singular value problems, An extended Ulm-like method for inverse singular value problems with multiple and/or zero singular values, Extended Newton-type method for inverse singular value problems with multiple and/or zero singular values, Convergence of a Ulm-like method for square inverse singular value problems with multiple and zero singular values, Convergence of the Newton-type methods for the square inverse singular value problems with multiple and zero singular values, Nonnegativity preservation under singular values perturbation

Cites Work

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• Methods of constructing certain stochastic matrices. II
• An inverse eigenvalue problem for symmetrical tridiagonal matrices
• Existence and construction of nonnegative matrices with prescribed spectrum
• Extremal inverse eigenvalue problem for bordered diagonal matrices
• Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• Symmetric nonnegative realization of spectra
• Construction of matrices with prescribed singular values and eigenvalues