Representing weighted pseudoinverse matrices with mixed weights in terms of other pseudoinverses

DOI10.1007/s10559-018-0019-yzbMath1393.15006OpenAlexW2796445736MaRDI QIDQ722032

N. A. Vareniuk, E. F. Galba

Publication date: 20 July 2018

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

Full work available at URL: https://doi.org/10.1007/s10559-018-0019-y

zbMATH Keywords

Moore-Penrose pseudoinversesign-indefinite weightweighted pseudoinverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (4)

Existence and uniqueness of weighted pseudoinverses with nonsingular indefinite weights ⋮ Existence and uniqueness of weighted normal pseudosolutions ⋮ Expansions of weighted pseudoinverses with mixed weights into matrix power series and power products ⋮ Iterative methods to calculate weighted pseudoinverses with mixed weights

Cites Work

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• 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
• Generalized inverses. Theory and applications.
• Weighted pseudoinverse matrices with indefinite weights
• Weighted Pseudoinverses with Singular Weights

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