A two-step matrix-free secant method for solving large-scale systems of nonlinear equations (Q442886)
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scientific article; zbMATH DE number 6063368
| Language | Label | Description | Also known as |
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| English | A two-step matrix-free secant method for solving large-scale systems of nonlinear equations |
scientific article; zbMATH DE number 6063368 |
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A two-step matrix-free secant method for solving large-scale systems of nonlinear equations (English)
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6 August 2012
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Summary: We propose an approach to enhance the performance of a diagonal variant of secant method for solving large-scale systems of nonlinear equations. In this approach, we consider the diagonal secant method using data from two preceding steps rather than a single step derived using weak secant equation to improve the updated approximate Jacobian in diagonal form. The numerical results verify that the proposed approach is a clear enhancement in numerical performance.
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secant method
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large-scale systems of nonlinear equations
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numerical results
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