Series expansion of weighted pseudoinverse matrices and iterative methods for calculating weighted pseudoinverse matrices and weighted normal pseudosolutions |
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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, Kiev, Ukraine |
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Abstract: | Weighted pseudoinverse matrices are expanded into matrix power series with negative exponents and arbitrary positive parameters.
Based on this expansion, iterative methods for evaluating weighted pseudoinverse matrices and weighted normal pseudosolutions
are designed and analyzed. The iterative methods for weighted normal pseudosolutions are extended to solving constrained least-squares
problems.
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 32–62, January–February 2006. |
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Keywords: | weighted pseudoinverse matrices weighted normal pseudosolutions matrix power series constrained least-squares problems iterative methods |
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