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A Kernel Function Approach for Interior Point Methods


Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
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  • Product Description

The last 20 years gave rise to revolutionary developments, both in computer technology and in software and algorithm improvements . As a consequence, Linear Optimization (LO) problems that 20 years ago required a computational time of one month, can now be solved within 10 seconds. The book address algorithmic improvements in Interior Point Methods (IPMs) for LO, and introduce a new class of kernel functions. The author derive many new and tight estimates that greatly simplify the analysis of IPMs. Ten specific kernel functions are considered, and using the new estimates present a complete complexity analysis for each of these functions. Iterations bounds both for large- and small-update methods for LO are derived. These results are extended to semidefinite optimization and linear complementarity problems. The book present an easy implementations of IPMs algorithm, and investigate the influence of the choice of the kernel function on the computational behavior of the algorithm for LO. An indispensable reference for students and researchers in applied mathematics, computer science, operations research, management science and engineering.

Product Specifications
SKU :COC93588
AuthorMohamed El Ghami
Number of Pages168
Publishing Year2011-04-29T00:00:00.000
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-14 00:00:00