Breakdowns in the implementation of the Lánczos method for solving linear systems (Q678424)

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scientific article; zbMATH DE number 1001343
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Breakdowns in the implementation of the Lánczos method for solving linear systems
scientific article; zbMATH DE number 1001343

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    Breakdowns in the implementation of the Lánczos method for solving linear systems (English)
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    26 August 1997
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    The Lanczos procedure for solving linear systems is considered via formal orthogonal polynomials. Two types of breakdown are analyzed, i. e. ``true'' and ``ghost'' breakdowns. Ways to overcome these breakdowns are reviewed. Near-breakdowns are also discussed.
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    Lánczos method
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    linear system
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    orthogonal polynomials
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    breakdowns
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