Necessary and sufficient conditions for the existence of a weighted singular value decomposition of matrices with singular weights

DOI10.1134/S1064562414020148zbMath1301.15006OpenAlexW2016497943MaRDI QIDQ461900

E. F. Galba, Ivan V. Sergienko, V. S. Deineka

Publication date: 15 October 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414020148

zbMATH Keywords

singular weightsweighted singular value decompositionweighted pseudo-inverse

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (3)

Weighted pseudoinversion with singular weights ⋮ Expansions of weighted pseudoinverses with mixed weights into matrix power series and power products ⋮ Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights

Cites Work

• Weighted pseudoinverses and weighted normal pseudosolutions with singular weights
• Generalizing the Singular Value Decomposition
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