The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem: - Locate x* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 n (2) In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two...
The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem: - Locate x* a local minimum poi...