Weighted singular decomposition and weighted pseudoinversion of matrices

For a rectangular real matrix, we obtain a decomposition in weighted singular numbers. On this basis, we obtain a representation of a weighted pseudoinverse matrix in terms of weighted orthogonal matrices and weighted singular numbers.

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Bibliographic Details
Date:1996
Main Authors: Galba, E. F., Галба, Е. Ф.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5228
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal