Offset-assisted factored solution of nonlinear systems (Q1736750)
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scientific article; zbMATH DE number 7042311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Offset-assisted factored solution of nonlinear systems |
scientific article; zbMATH DE number 7042311 |
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Offset-assisted factored solution of nonlinear systems (English)
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26 March 2019
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Summary: This paper presents an improvement to the recently-introduced factored method for the solution of nonlinear equations. The basic idea consists of transforming the original system by adding an offset to all unknowns. When searching for real solutions, a real offset prevents the intermediate values of unknowns from becoming complex. Reciprocally, when searching for complex solutions, a complex offset is advisable to allow the iterative process to quickly abandon the real domain. Several examples are used to illustrate the performance of the proposed algorithm, when compared to Newton's method.
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nonlinear systems
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factored solution method
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Newton's method
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