Iteration Methods for the Solution of Operator Equations

doi:https://doi.org/10.1007/978-1-4612-4128-7_3

Iteration Methods for the Solution of Operator Equations

В. И. Лебедев-1997-01-01-Birkhäuser Boston eBooks

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TL;DRAbstract

Method of successive approximation for linear equations of the second kind, necessary and sufficient conditions for convergence, error estimate, sufficient conditions for convergence. Iteration methods for solution of linear equations of the first kind. Definition of multistep, one-step, cyclic linear iteration methods. General form of one-step linear iteration methods. Convergence rate.

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Method of successive approximation for linear equations of the second kind, necessary and sufficient conditions for convergence, error estimate, sufficient conditions for convergence. Iteration methods for solution of linear equations of the first kind. Definition of multistep, one-step, cyclic linear iteration methods. General form of one-step linear iteration methods. Convergence rate.

Keywords

Convergence (economics)MathematicsRate of convergenceApplied mathematicsOperator (biology)Iterative methodLinear mapLinear equation

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