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Expansions of Weighted Pseudoinverses with Mixed Weights into Matrix Power Series and Power Products

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Expansions of weighted pseudoinverses with mixed weights into matrix power series or power products with negative exponents are defined and analyzed. One of these matrices is positive definite and the… Click to show full abstract

Expansions of weighted pseudoinverses with mixed weights into matrix power series or power products with negative exponents are defined and analyzed. One of these matrices is positive definite and the other is nonsingular and indefinite. Polynomial limit representations of these matrices are obtained. Regularized iterative methods are constructed to evaluate weighted pseudoinverses with mixed weights.

Keywords: expansions weighted; pseudoinverses mixed; weights matrix; weighted pseudoinverses; power; mixed weights

Journal Title: Cybernetics and Systems Analysis
Year Published: 2019

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