Abstract
LetH be a Hilbert space andR∶H→H 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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Eidelman, Y., Gohberg, I. Algorithms for inversion of diagonal plus semiseparable operator matrices. Integr equ oper theory 44, 172–211 (2002). https://doi.org/10.1007/BF01217532
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DOI: https://doi.org/10.1007/BF01217532