Algorithms for inversion of diagonal plus semiseparable operator matrices |
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Authors: | Y. Eidelman I. Gohberg |
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Affiliation: | (1) School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, 69978 Ramat-Aviv, Israel |
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Abstract: | LetH be a Hilbert space andRHH be a bounded linear operator represented by an operator matrix which is a sum of a diagonal and of a semiseparable type of order one operator matrices. We consider three methods for solution of the operator equationRx=y. The obtained results yields new algorithms for solution of integral equations and for inversion of matrices. |
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Keywords: | 15A06 45B05 47A50 65F05 65J10 65R20 |
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