Linear Complementarity, Linear and Nonlinear Programming (Sigma Series in Applied Mathematics,)
By Katta Gopalakrishna Murty
* Publisher: Heldermann Verlag
* Number Of Pages: 680
* Publication Date: 1988-12
* ISBN-10 / ASIN: 3885384035
* ISBN-13 / EAN: 9783885384038
This book provides an in-depth and clear treatment of all the important practical, technical, computational, geometric, and mathematical aspects of the Linear Complementarity Problem, Quadratic Programming, and their various applications. It discusses clearly the various algorithms for solving the LCP, presents their efficient implementation for the computer, and discusses their computational complexity. It presents the practical applications of these algorithms and extensions of these algorithms to solve general nonlinear programming problems. Finally, it surveys new methods for solving linear programs, such as Khachiyan's and Karmarkar's.
To make the book self-contained,the appendix provides a complete treatment of theorems of alternatives for linear systems, properties of convex functions and convex sets, and various optimality conditions for nonlinear programming problems
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