On the Relation between Two Local Convergence Theories of Least-Change Secant Update Methods

1 October 1992

journal article
Published by JSTOR in Mathematics of Computation

Vol. 59 (200) , 457
https://doi.org/10.2307/2153067

Abstract

In this paper, we show that the main results of the local convergence theory for least-change secant update methods of Dennis and Walker (SIAM J. Numer. Anal. 18 (1981), 949-987) can be proved using the theory introduced recently by Martinez (Math. Comp. 55 (1990), 143-167). In addition, we exhibit two generalizations of well-known methods whose local convergence can be easily proved using Martinez's theory

Keywords

LOCAL CONVERGENCE
QUASI NEWTON METHOD
NONLINEAR SYSTEM
NONLINEAR SYSTEMS

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