Cybernetics And Systems Analysis logo
Editorial Board Announcements Abstracts Authors Archive
Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 512.61
E.F. Galba,1 N.A. Vareniuk2

REPRESENTING WEIGHTED PSEUDOINVERSE MATRICES WITH MIXED WEIGHTS
IN TERMS OF OTHER PSEUDOINVERSE MATRICES

Abstract. The paper considers weighted pseudoinverse matrix, when both weighted matrices are symmetric and one of them is positive definite matrix and the other is nonsingular and indefinite. Formulas are obtained for representing these matrices in terms of the pseudoinverse Moore–Penrose matrix and other weighted pseudoinverse matrices.

Keywords: weighted pseudoinverse matrices with indefinite weights, Moore– Penrose pseudoinverse matrices, weighted pseudoinverse matrices with mixed weights.



FULL TEXT

1 V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: e.f.galba@ukr.net.

2 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: nvareniuk@ukr.net.

© 2018 Kibernetika.org. All rights reserved.