The preconditioned variational methods for solving large linear systems (Q1070764)

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scientific article; zbMATH DE number 3938441
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The preconditioned variational methods for solving large linear systems
scientific article; zbMATH DE number 3938441

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    The preconditioned variational methods for solving large linear systems (English)
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    1985
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    From authors' summary: The implementation of the preconditioned conjugate gradient method for the solution of linear systems arising from the discretization of self-adjoint elliptic boundary value problems, requires the predetermination of an optimal iteration parameter. It is shown that this parameter can be chosen in a stable manner in O(1) operations per iteration, if it is allowed to vary with the iteration index from information derived from the gradient parameters.
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    preconditioned conjugate gradient method
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    optimal iteration parameter
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    gradient parameters
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