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Representing Weighted Pseudoinverse Matrices with Mixed Weights in Terms of Other Pseudoinverses

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The paper considers weighted pseudoinverse where both weighted matrices are symmetric and one of them is positive definite matrix and the other is nonsingular and indefinite. Formulas are obtained to… Click to show full abstract

The paper considers weighted pseudoinverse where both weighted matrices are symmetric and one of them is positive definite matrix and the other is nonsingular and indefinite. Formulas are obtained to represent these matrices in terms of the Moore–Penrose pseudoinverse matrix and other weighted pseudoinverses.

Keywords: pseudoinverse matrices; representing weighted; pseudoinverse; weighted pseudoinverse; mixed weights; matrices mixed

Journal Title: Cybernetics and Systems Analysis
Year Published: 2018

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