Projective Transformations for Interior Point Methods, Vol. 2 (Classic Reprint)

Language: English

Published by Forgotten Books, 2019

1333747497 / 9781333747497

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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.

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Title
Projective Transformations for Interior Point Methods, Vol. 2 (Classic Reprint)
Author
Robert Michael Freund
Publisher
Forgotten Books
Publication year
2019
Condition
New
Book Type
print-on-demand item
Binding
Paperback
Language
English
ISBN 10
1333747497
ISBN 13
9781333747497
Seller catalogs
Calculus

Forgotten Books

London, United Kingdom

5-star seller

AbeBooks seller since June 2, 2021

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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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FB &c Ltd

Dalton House, 60 Windsor Avenue
London, United Kingdom SW19 2RR