The improved form of the conjugate gradients method (Q2897891)

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scientific article; zbMATH DE number 6057181
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The improved form of the conjugate gradients method
scientific article; zbMATH DE number 6057181

    Statements

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    16 July 2012
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    linear equations
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    preconditioners
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    iterative methods
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    sparse matrices
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    roundoff error
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    methods of reduced gradient type
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    The improved form of the conjugate gradients method (English)
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    A new form of representing the known method of conjugate gradients for solving of linear algebraic systems is found. It is turned out that the form proposed is the most simple and stable in relation to roundoff errors. A generalization of the method for problems with preconditioning is given.
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