The Sequential Unconstrained Minimization Technique for Nonlinear Programming. Algorithm Ii. Optimum Gradients by Fibonacci Search
Author | : Anthony V. Fiacco |
Publisher | : |
Total Pages | : 21 |
Release | : 1964 |
ISBN-10 | : OCLC:227334868 |
ISBN-13 | : |
Rating | : 4/5 (68 Downloads) |
Download or read book The Sequential Unconstrained Minimization Technique for Nonlinear Programming. Algorithm Ii. Optimum Gradients by Fibonacci Search written by Anthony V. Fiacco and published by . This book was released on 1964 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algorithm has been revised to incorporate a more efficient technique for computing the minimum of a function of a specified vector, a computation required in each iteration of the optimumgradient method. The new technique is an adaptation of a Fibonacci-gradient method. The new technique is an adaptation of a Fibonacci previously used and results in a recuction in total problem solution time of almost one half. A new normalized final-convergence criterion that does not depend on the magnitude of the optimum solution value is given. The detailed computer solution of a change-constrained linear programming problem illustrates the typical convergence characteristics of the method. The remainder of the paper is a concise and simplified review of all the method's important computational aspects. (Author).