Singular value decomposition for the Takagi factorization of symmetric matrices

DOI10.1016/j.amc.2014.01.170zbMath1303.65022OpenAlexW1978339308MaRDI QIDQ470799

Alexander M. Chebotarev, Alexander E. Teretenkov

Publication date: 13 November 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.170

zbMATH Keywords

singular value decompositionnumerical testTakagi factorizationdegenerate and multiple spectrumssquare root of unitary matrixsymmetric SVD

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (3)

Takagi Factorization of Matrices Depending on Parameters and Locating Degeneracies of Singular Values ⋮ Singular value decomposition for skew-Takagi factorization with quantum applications ⋮ Perturbation analysis for the Takagi vector matrix

Uses Software

• Mathematica
• CUDA

Cites Work

• Unnamed Item
• Singular value decomposition and least squares solutions
• A Divide-and-Conquer Method for the Takagi Factorization
• Computing the Polar Decomposition—with Applications
• The singular value decomposition: Its computation and some applications
• $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation

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