Abstract
The role of Broyden′s method as a powerful quasi‐Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. We offer here a general convergence criterion for a method akin to Broyden′s method in Rn. The approach is different from those of other convergence proofs which are available only for the direct prediction methods.
Highlights
The role of Broyden’s method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known
V--- T Our concern in this paper is iteratlve n methods for the solution of simultaneous non-llnear equations
The convergence results that are available to date are proved for the direct prediction method [5]
Summary
(1 where H n is generated by the method in such a way that the quasi-Newton equation.
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More From: International Journal of Mathematics and Mathematical Sciences
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