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An extension of Gander's result for quadratic equations - MaRDI portal

An extension of Gander's result for quadratic equations (Q970383)

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scientific article; zbMATH DE number 5708947
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An extension of Gander's result for quadratic equations
scientific article; zbMATH DE number 5708947

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    An extension of Gander's result for quadratic equations (English)
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    17 May 2010
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    A family of iterations is defined for quadratic equations in Banach spaces, yielding convergence of order four. Applications to a real-life partial differential equation and an integral equation are given.
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    quadratic equations
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    iterative methods
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    higher order convergence
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    numerical examples
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    nonlinear operator equations in Banach spaces
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    semilocal convergence
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    majorant sequences
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    a priori error estimates
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    \(R\)-order of convergence
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    integral equation
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    partial differential equation
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