ON THE PRIMAL-DUALAFFINE SCALING METHOD

ON THE PRIMAL-DUALAFFINE SCALING METHOD PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 19

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ON THE PRIMAL-DUALAFFINE SCALING METHOD

ON THE PRIMAL-DUALAFFINE SCALING METHOD PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 19

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A Note on the Primal-dual Affine Scaling Algorithms

A Note on the Primal-dual Affine Scaling Algorithms PDF Author: Levent Tuncel
Publisher:
ISBN:
Category :
Languages : en
Pages : 32

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Primal-Dual Interior-Point Methods

Primal-Dual Interior-Point Methods PDF Author: Stephen J. Wright
Publisher: SIAM
ISBN: 089871382X
Category : Technology & Engineering
Languages : en
Pages : 293

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Presents the major primal-dual algorithms for linear programming. A thorough, straightforward description of the theoretical properties of these methods.

Convergence of the Dual Variables for the Primal Affine Scaling Method with Unit Steps in the Homogeneous Case

Convergence of the Dual Variables for the Primal Affine Scaling Method with Unit Steps in the Homogeneous Case PDF Author: I. I. Dikin
Publisher:
ISBN:
Category :
Languages : en
Pages : 13

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A Simple Proof Of Primal Affine Scaling Method

A Simple Proof Of Primal Affine Scaling Method PDF Author: Romesh Salgal
Publisher:
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Category :
Languages : en
Pages : 21

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A Primal-dual Affine Scaling Algorithm with Necessary Centering as a Safeguard

A Primal-dual Affine Scaling Algorithm with Necessary Centering as a Safeguard PDF Author: G. Zhao
Publisher:
ISBN:
Category :
Languages : en
Pages : 11

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Affine-scaling Algorithms for Linear Programming

Affine-scaling Algorithms for Linear Programming PDF Author: Xiaodong Yang
Publisher:
ISBN:
Category :
Languages : en
Pages : 122

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Build-up Interior Method for Linear Programming: Affine Scaling Form

Build-up Interior Method for Linear Programming: Affine Scaling Form PDF Author: Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher:
ISBN:
Category :
Languages : en
Pages : 44

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We proposed a build-up interior method for solving an m equation n variable linear program which has the same convergence properties as their well known analogues in dual affine and projective forms but requires less computational effort. The algorithm has three forms, an affine scaling form, a projective scaling form, and an exact form (that used pivot steps). In this paper, we present the first of these. It differs from Dikin's algorithm of dual affine form in that the ellipsoid chosen to generate the improving directions in dual space is constructed from only a subset of the dual constraints. Keywords: Iterations. (KR).

An O (√nL) Iteration Bound Primal-dual Cone Affine Scaling Algorithm

An O (√nL) Iteration Bound Primal-dual Cone Affine Scaling Algorithm PDF Author: Jos Fredrik Sturm
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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Progress in Mathematical Programming

Progress in Mathematical Programming PDF Author: Nimrod Megiddo
Publisher: Springer Science & Business Media
ISBN: 1461396174
Category : Mathematics
Languages : en
Pages : 164

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Book Description
The starting point of this volume was a conference entitled "Progress in Mathematical Programming," held at the Asilomar Conference Center in Pacific Grove, California, March 1-4, 1987. The main topic of the conference was developments in the theory and practice of linear programming since Karmarkar's algorithm. There were thirty presentations and approximately fifty people attended. Presentations included new algorithms, new analyses of algorithms, reports on computational experience, and some other topics related to the practice of mathematical programming. Interestingly, most of the progress reported at the conference was on the theoretical side. Several new polynomial algorithms for linear program ming were presented (Barnes-Chopra-Jensen, Goldfarb-Mehrotra, Gonzaga, Kojima-Mizuno-Yoshise, Renegar, Todd, Vaidya, and Ye). Other algorithms presented were by Betke-Gritzmann, Blum, Gill-Murray-Saunders-Wright, Nazareth, Vial, and Zikan-Cottle. Efforts in the theoretical analysis of algo rithms were also reported (Anstreicher, Bayer-Lagarias, Imai, Lagarias, Megiddo-Shub, Lagarias, Smale, and Vanderbei). Computational experiences were reported by Lustig, Tomlin, Todd, Tone, Ye, and Zikan-Cottle. Of special interest, although not in the main direction discussed at the conference, was the report by Rinaldi on the practical solution of some large traveling salesman problems. At the time of the conference, it was still not clear whether the new algorithms developed since Karmarkar's algorithm would replace the simplex method in practice. Alan Hoffman presented results on conditions under which linear programming problems can be solved by greedy algorithms."