Series expansion of weighted pseudoinverse matrices and iterative methods for calculating weighted pseudoinverse matrices and weighted normal pseudosolutions

DOI10.1007/s10559-006-0036-0zbMath1108.65034OpenAlexW2032335203MaRDI QIDQ2501327

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

Publication date: 6 September 2006

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-006-0036-0

zbMATH Keywords

iterative methodsweighted pseudoinverse matricesmatrix power seriesweighted normal pseudosolutionsconstrained least-squares problems

Mathematics Subject Classification ID

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

Related Items (5)

Weighted pseudoinversion with singular weights ⋮ 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 ⋮ Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights

Cites Work

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• Matrix Analysis
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• A Note on the Oblique Matrix Pseudoinverse
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• Iterative methods for computing weighted minimum-length least squares solution with a singular weight matrix
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