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An iterative method for computing the eigenvalues of second kind Fredholm operators and applications - MaRDI portal

An iterative method for computing the eigenvalues of second kind Fredholm operators and applications (Q1572619)

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scientific article; zbMATH DE number 1476917
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An iterative method for computing the eigenvalues of second kind Fredholm operators and applications
scientific article; zbMATH DE number 1476917

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    An iterative method for computing the eigenvalues of second kind Fredholm operators and applications (English)
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    24 July 2000
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    The authors study the problem of approximating the eigenvalues of second kind Fredholm operators. An iterative method is developed, more simple than the orthogonal invariants method. The technique can be applied to any positive definite compact operator. It has been tested in different cases and specially in a difficult one, connected with a kernel considered by A. M. Ostrowski. A priori bounds for the absolute error are given using the Aronszajn theorem.
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    inverse iteration method
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    Rayleigh-Ritz method
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    error bounds
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    eigenvalues
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    second kind Fredholm operators
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