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Frozen divided difference scheme for solving systems of nonlinear equations

✍ Scribed by Miquel Grau-Sánchez; Àngela Grau; Miquel Noguera

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
220 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

The development of an inverse first-order divided difference operator for functions of several variables, as well as a direct computation of the local order of convergence of an iterative method is presented. A generalized algorithm of the secant method for solving a system of nonlinear equations is studied and the maximum computational efficiency is computed. Furthermore, a sequence that approximates the order of convergence is generated for the examples and it confirms in a numerical way that the order of the methods is well deduced.

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