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UDC 512.61:519.61
N.A. Vareniuk1, E.F. Galba2, I.V. Sergienko3, N.I. Tukalevska4


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

 nvareniuk@ukr.net

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

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

 incyb@incyb.kiev.ua

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

 Tukalevska@nas.gov.ua

ITERATIVE METHODS FOR CALCULATION OF WEIGHTED PSEUDOINVERSE MATRICES
WITH MIXED WEIGHTS

Abstract. The decompositions of weighted pseudoinverse matrices with mixed weights (one of weighted matrix is positive definite and other is nonsingular indefinite) into matrix power series with positive exponents are obtained and investigated. Iterative methods for calculation of weighted pseudoinverce matrices with mixed weights are generated and investigated on the basis of the obtained expansions of weighted pseudoinverse matrices. Different variants of weighted pseudoinverce matrices with mixed nonsingular weights are analyzed and developed into matrix power series.

Keywords: weighted pseudoinverse matrices with indefinite and mixed weights, matrix power series, iterative methods.



FULL TEXT

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