Expansion of Weighted Pseudoinverse Matrices in Matrix Power Products

DOI10.1007/s11253-005-0154-2zbMath1073.15503OpenAlexW2139736234MaRDI QIDQ5692106

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

Publication date: 27 September 2005

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

Full work available at URL: https://doi.org/10.1007/s11253-005-0154-2

zbMATH Keywords

convergenceexpansionEuler identitymatrix power productsweighted pseudoinverse matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (7)

Necessary and sufficient conditions for the existence of weighted singular-valued decompositions of matrices with singular weights ⋮ Weighted pseudoinversion with singular weights ⋮ Methods for obtaining reliable solutions to systems of linear algebraic equations ⋮ Expansion of weighted pseudoinverse matrices with positive definite weights into matrix power products. iterative methods ⋮ Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. I. positive definite weights ⋮ Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. II. singular weights ⋮ Series expansion of weighted pseudoinverse matrices and iterative methods for calculating weighted pseudoinverse matrices and weighted normal pseudosolutions

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