On a mesh-independence principle for operator equations and the secant method (Q1207346)

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scientific article; zbMATH DE number 149615
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On a mesh-independence principle for operator equations and the secant method
scientific article; zbMATH DE number 149615

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    On a mesh-independence principle for operator equations and the secant method (English)
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    1 April 1993
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    Under certain assumptions the convergence of the discretized secant iterations is proved for a family of the discretized equations \(P_ h(x)= 0\), \(h>0\) \((*)\) of the nonlinear equation \(F(x)=0\) to a locally unique solution \(z^*_ h\) of the equation \((*)\) with corresponding estimates.
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    discretized secant iterations
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    discretized equations
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