The Secant/Finite Difference Alogorithm for Solving Sparse Nonlinear Systems of Equations

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1986-03
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This paper presents an algorithm, the secant/finite difference algorithm, for solving sparse nonlinear systems of equations. This algorithm is a combination of a finite difference method and a secant method. A q-superlinear convergence result and an r-convergence rate estimate show that this algorithm has good local convergence properties. The numerical results indicate that this algorithm is probably more efficient than some currently used algorithms.

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Technical report
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Li, Guangye. "The Secant/Finite Difference Alogorithm for Solving Sparse Nonlinear Systems of Equations." (1986) https://hdl.handle.net/1911/101589.

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