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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 10, Pages 1731–1755
(Mi zvmmf576)
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This article is cited in 4 scientific papers (total in 4 papers)
Fast convergent iterative methods for the computation of weighted pseudoinverses and weighted normal pseudosolutions with singular weights
E. F. Galba, V. S. Deineka, I. V. Sergienko Glushkov Institute of Cybernetics NAS Ukraine
Abstract:
To calculate weighted pseudoinverses and weighted normal pseudosolutions with singular weights, iterative processes with the convergence order $p\ge 2$ are constructed and analyzed. Expansions of weighted pseudoinverses in matrix power products are obtained and used in the construction of those processes. The issue of the adaptation of the iterative processes designed for the computation of weighted normal pseudosolutions to solving constrained least squares problems is examined.
Received: 15.03.2005
Citation:
E. F. Galba, V. S. Deineka, I. V. Sergienko, “Fast convergent iterative methods for the computation of weighted pseudoinverses and weighted normal pseudosolutions with singular weights”, Zh. Vychisl. Mat. Mat. Fiz., 45:10 (2005), 1731–1755; Comput. Math. Math. Phys., 45:10 (2005), 1667–1690
Linking options:
https://www.mathnet.ru/eng/zvmmf576 https://www.mathnet.ru/eng/zvmmf/v45/i10/p1731
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Abstract page: | 316 | Full-text PDF : | 135 | References: | 56 | First page: | 1 |
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