Titlebook: Interior Point Approach to Linear, Quadratic and Convex Programming; Algorithms and Compl D. Hertog Book 1994 Springer Science+Business Med

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书目名称Interior Point Approach to Linear, Quadratic and Convex Programming影响因子(影响力)




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Malfunction

path-followingmethods: all these methods use the central path implicitly orexplicitly as a reference path to go to the optimum. .For specialists in IPMs as well as those seeking an introduction toIPMs. The book is accessible to any mathematician with basicmathematical programming knowledge. .978-94-010-4496-7978-94-011-1134-8

Ossification

triptans

r linear programming, quadratic programming and convexprogramming. These methods, which form a subclass of interior pointmethods, follow the central path, which is an analytic curve definedby the problem. Relatively simple and elegant proofs for polynomialityare given. The theory is illustrated usin

舰旗

Discussion of other IPMs,cription of all these methods. (More detailed survey papers are [45], [55], [138] and [154].) Our aim is to show that all these methods rely on some common notions: they all use the central path somehow, and the search directions are all linear combinations of two characteristic vectors. These comparisons will be carried out in the last section.

cathartic

The logarithmic barrier method,led long-, medium-and short-step methods. First, we will give a general framework for the logarithmic barrier method. Then we look at special cases: linear, convex quadratic and smooth convex programming problems respectively.

RACE

The center method,ng-, medium-and short-step methods. First, we will give a general framework for the center method. Then we will give the complexity analysis for linear programming and a class of convex programming problems, respectively. The self-concordance property introduced by Nesterov and Nemirovsky [119] play

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