In the first part of this paper we present a meethod for solving nonlinear equations. The convergence results are direct generalizations of the results of Broyden, Dennis Morè [2] and Dennis and Walker [4] . In the second part we present an algorithm for solving unconstrained optimization problems. We prove that this algorithm converges and the rate of convergence is superlinear.
Quasi-newton methods for nonlinear equation and unconstrained optimization problems / Corradi, Gianfranco. - In: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. - ISSN 0020-7160. - STAMPA. - 38:(1991), pp. 71-89. [10.1080/00207169108803959]
Quasi-newton methods for nonlinear equation and unconstrained optimization problems
CORRADI, Gianfranco
1991
Abstract
In the first part of this paper we present a meethod for solving nonlinear equations. The convergence results are direct generalizations of the results of Broyden, Dennis Morè [2] and Dennis and Walker [4] . In the second part we present an algorithm for solving unconstrained optimization problems. We prove that this algorithm converges and the rate of convergence is superlinear.File allegati a questo prodotto
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