Expansion of weighted pseudoinverse matrices with positive definite weights into matrix power products. Iterative methods

被引：0

作者：

Sergienko I.V. ^{[1
]}

Galba E.F. ^{[1
]}

Deineka V.S. ^{[1
]}

机构：

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

来源：

Cybernetics and Systems Analysis | 2007年 / 43卷 / 1期

关键词：

Constrained least-squares problems; Iterative methods; Matrix power products; Weighted normal pseudosolutions; Weighted pseudoinverse matrices;

D O I：

10.1007/s10559-007-0024-z

中图分类号：

学科分类号：

摘要：

Weighted pseudoinverse matrices with positive definite weights are expanded into matrix power products with negative exponents and arbitrary positive parameters. These expansions are used to develop and analyze iterative methods for evaluating weighted pseudoinverse matrices and weighted normal pseudosolutions and solving constrained least-squares problems. © Springer Science+Business Media, Inc. 2007.

引用

页码：34 / 49

页数：15

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