9781333747497 - Projective Transformations for Interior Point Methods, Vol. 2: Analysis of an Algorithm for Finding the Weighted Center of a Polyhedral System (Classic Reprint) di ... (3 risultati)

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condizione: New. Print on Demand. This book expounds on a set of projective transformation principles for interior point methods and applies them to an algorithm for finding the weighted center of a polyhedral system. The basic theory is applied to show how the w-center of a polyhedral system can be found. The author presents an algorithm based on the theory, and shows that it converges superlinearly to the w-center; infinitely faster than linearly. The algorithm's search direction is positively proportional to the projected Newton direction. The author then examines an implementation of the algorithm that uses a line search. Finally, the book demonstrates that after a fixed number of iterations, an approximate w-center can be used to construct well-scaled containing and contained ellipsoids centered at the approximate w-center. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.