Existence and uniqueness of weighted pseudoinverse matrices and weighted normal pseudosolutions with singular weights

DOI10.1007/s11253-011-0490-3zbMath1264.15007OpenAlexW2055288365MaRDI QIDQ765117

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

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-011-0490-3

zbMATH Keywords

iterative methodssingular weightsweighted pseudoinverse matricesmatrix power seriessystem of matrix equationsweighted normal pseudosolutionsmatrix power products

Mathematics Subject Classification ID

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

Related Items (8)

Necessary and sufficient conditions for the existence of weighted singular-valued decompositions of matrices with singular weights ⋮ Weighted pseudoinversion with singular weights ⋮ Existence and uniqueness of weighted pseudoinverses with nonsingular indefinite weights ⋮ Existence and uniqueness of weighted normal pseudosolutions ⋮ Weighted pseudoinversion with indefinite 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 ⋮ Iterative methods to calculate weighted pseudoinverses with mixed weights

Cites Work

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• Methods of computing weighted pseudoinverse matrices with singular weights
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• Expansion of weighted pseudoinverse matrices with singular weights into matrix power products and iteration methods
• Weighted pseudoinverses and weighted normal pseudosolutions with singular weights
• Matrix Analysis
• Weighted pseudoinversion of matrices with singular weights
• Expansions and polynomial limit representations of weighted pseudoinverses
• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
• Weighted Pseudoinverses with Singular Weights
• Iterative methods for computing weighted minimum-length least squares solution with a singular weight matrix

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