Description: Introduction to Continuous Optimization, Hardcover by Polyak, Roman A., ISBN 3030687112, ISBN-13 9783030687113, Like New Used, Free shipping in the US This self-contained monograph presents the reader with an authoritative view of Continuous Optimization, an area of mathematical optimization that has experienced major developments during the past 40 years. Th contains results which have not yet been covered in a systematic way as well as a summary of results on NR theory and methods developed over the last several decades. The readership is aimed to graduate students in applied mathematics, computer science, economics, as well as researchers working in optimization and those applying optimization methods for solving real life problems. Sufficient exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization. The topical coverage includes interior point methods, self-concordance theory and related complexity issues, first and second order methods with accelerated convergence, nonlinear rescaling (NR) theory and exterior point methods, just to mention a few. Th contains a unified approach to both interior and exterior point methods with emphasis of the crucial duality role. One of the main achievements of th shows what makes the exterior point methods numerically attractive and why. Th is composed in five parts. The first part contains the basics of calculus, convex analysis, elements of unconstrained optimization, as well as classical results of linear and convex optimization. The second part contains the basics of self-concordance theory and interior point methods, including complexity results for LP, QP, and QP with quadratic constraint, semidefinite and conic programming. In the third part, the NR and Lagrangian transformation theories are considered and exterior point methods are described. Three important problems in finding equilibrium are considered in the fourth part. In the fifth and final part of th, several important applications arising in economics, structural optimization, medicine, statistical learning theory, and more, are detailed. Numerical results, obtained by solving a number of real life and test problems, are also provided.
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Book Title: Introduction to Continuous Optimization
Number of Pages: Xvi, 541 Pages
Publication Name: Introduction to Continuous Optimization
Language: English
Publisher: Springer International Publishing A&G
Publication Year: 2021
Subject: Applied, Optimization
Item Weight: 35.2 Oz
Type: Textbook
Item Length: 9.3 in
Subject Area: Mathematics
Author: Roman A. Polyak
Item Width: 6.1 in
Series: Springer Optimization and Its Applications Ser.
Format: Hardcover
