Expansion of weighted pseudoinverse matrices with positive definite weights into matrix power products. Iterative methods |
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| Authors: | I. V. Sergienko E. F. Galba V. S. Deineka |
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| Affiliation: | (1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |
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| Abstract: | 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. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 45–64, January–February 2007. |
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| Keywords: | weighted pseudoinverse matrices weighted normal pseudosolutions matrix power products constrained least-squares problems iterative methods |
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