Singular values of two-parameter matrices: An algorithm to accurately find their intersections

DOI10.1016/j.matcom.2008.03.012zbMath1162.65328OpenAlexW2129703904MaRDI QIDQ1010049

Alessandro Pugliese, Luca Dieci

Publication date: 3 April 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.03.012

zbMATH Keywords

algorithmsnumerical examplessingular value decompositionperiodicitybisectionconical intersectiontwo-parameter continuation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (9)

On the rank-deficient canonical correlation technique solved by analytic spectral decomposition ⋮ Locating coalescing singular values of large two-parameter matrices ⋮ Connecting the multivariate partial least squares with canonical analysis: a path-following approach ⋮ Coalescing Eigenvalues and Crossing Eigencurves of 1-Parameter Matrix Flows ⋮ Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions ⋮ On the unitary block-decomposability of 1-parameter matrix flows and static matrices ⋮ Hermitian matrices of three parameters: perturbing coalescing eigenvalues and a numerical method ⋮ Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices ⋮ Continuous Decompositions and Coalescing Eigenvalues for Matrices Depending on Parameters

Cites Work

• Unnamed Item
• Continuation of singular value decompositions
• A global analysis of matrices of functions of several variables
• Two-Parameter SVD: Coalescing Singular Values and Periodicity

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