DOI resolved by resea

A Rapidly Convergent Descent Method for Minimization

A powerful iterative descent method for finding a local minimum of a function of several variables is described. A number of theorems are proved to show that it always converges and that it…

R. Fletcher, M. J. D. Powell
https://resea.org/10.1093/comjnl/6.2.163

Abstract

A powerful iterative descent method for finding a local minimum of a function of several variables is described. A number of theorems are proved to show that it always converges and that it converges rapidly. Numerical tests on a variety of functions confirm these theorems. The method has been used to solve a system of one hundred non-linear simultaneous equations.