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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 512.61 : 519.61
E.F. Galba1, N.A. Vareniuk2


1 V.M. Glushkov Institute of Cybernetics, National Academy
of Sciences of Ukraine, Kyiv, Ukraine

e.f.galba@ukr.net

2 V.M. Glushkov Institute of Cybernetics, National Academy
of Sciences of Ukraine, Kyiv, Ukraine

nvareniuk@ukr.net

EXPANSIONS OF WEIGHTED PSEUDOINVERSE MATRICES WITH MIXED
WEIGHTS IN MATRIX POWER SERIES AND POWER PRODUCTS

Abstract. Expansions of weighted pseudoinverse matrices with mixed weights into matrix power series or power products with negative exponents are defined and analyzed. One of these matrices is a positive definite matrix and another is nonsingular and indefinite. Limited polynomial representations of these matrices are obtained. Iterative methods for evaluating weighted pseudoinverse matrices with mixed weights are constructed.

Keywords: weighted pseudoinverse matrices with mixed weights, matrix power series and power products, limited polynomials representations of weighted pseudoinverse matrices, iterative methods.



FULL TEXT

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