Optimal acceleration of convergence (Q1601166)

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scientific article; zbMATH DE number 1757334
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Optimal acceleration of convergence
scientific article; zbMATH DE number 1757334

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    Optimal acceleration of convergence (English)
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    19 June 2002
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    The authors investigate the quadratic model \((b^Tu+u^TCu)/a^Tu\), which generalizes the Shanks transformations and Padé model, to accelerate the convergence of the sequence \(\{ u_k \}_k\). An iterative formula for the construction of the matrices \(C\) is given and the rate of convergence is discussed.
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    Shanks transformation
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    Padé model
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    rate of convergence
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    convergence acceleration
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    quadratic model
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    iterative formula
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