Computing singular value decompositions of parameterized matrices with total nonpositivity to high relative accuracy

DOI10.1007/s10915-016-0315-5zbMath1387.65035OpenAlexW2552864248MaRDI QIDQ1704844

Delin Chu, Rong Huang

Publication date: 13 March 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0315-5

zbMATH Keywords

singular value decompositionnonsingular totally nonpositive matriceshigh relative accuracy computation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (8)

Accurate eigenvalues of some generalized sign regular matrices via relatively robust representations ⋮ The accurate and efficient solutions of linear systems for generalized sign regular matrices with certain signature ⋮ Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices ⋮ Numerical algorithms of the discrete coupled algebraic Riccati equation arising in optimal control systems ⋮ Accurate solutions of weighted least squares problems associated with rank-structured matrices ⋮ Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices ⋮ A qd-type method for computing generalized singular values of BF matrix pairs with sign regularity to high relative accuracy ⋮ Computing eigenvalues of quasi-generalized Vandermonde matrices to high relative accuracy

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