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Mathematics of Computation

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A Shamanskiĭ-like acceleration scheme for nonlinear equations at singular roots


Author: C. T. Kelley
Journal: Math. Comp. 47 (1986), 609-623
MSC: Primary 65J15; Secondary 49D15
MathSciNet review: 856706
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Abstract: A variation of the Shamanskii method is used to obtain a superlinearly convergent method for a class of nonlinear equations having singular Fréchet derivative at the root. The cost of a superlinear step is one derivative evaluation and two function evaluations.


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DOI: https://doi.org/10.1090/S0025-5718-1986-0856706-4
Article copyright: © Copyright 1986 American Mathematical Society