Results 221 to 230 of about 101,577 (249)

On Numerical Issues of Interior Point Methods

SIAM Journal on Matrix Analysis and Applications, 2008
This paper concerns some numerical stability issues of factorizations in interior point methods. In our investigation we focus on regularization techniques for the augmented system. We derive the fundamental property of regularization and necessary conditions for the convergence of iterative refinement. A relaxation technique is described that improves
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Interior point methods for equilibrium problems

Computational Optimization and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An interior point method for nonlinear programming

Zeitschrift für Operations Research, 1979
In this paper an interior point method is presented for nonlinear programming problems with inequality constraints. On defining a modified distance function the original problem is solved sequentially by using a method of feasible directions. At each iteration a usable feasible direction can be determined explicitly. Under certain assumptions it can be
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Interior Point Methods

1995
In this chapter we will describe the methods that start with a point in the interior of the feasible region and continue through the interior towards the boundary solution. The study of these methods was started by the work of Karmarkar, and has been an area of intense international activity during the past decade.
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A Gravitational Interior Point Method for LP

OPSEARCH, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Interior-point methods

In this paper we discuss the main concepts of structural optimization, a field of nonlinear programming, which was formed by the intensive development of modern interior-point schemes..
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Interior-point methods

2001
Tamaás Terlaky, Paul T. Boggs
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An interior point method for nonlinear programming with infeasibility detection capabilities

Optimization Methods and Software, 2014
Jorge Nocedal, Richard A Waltz
exaly  

A numerical method for singularly perturbed turning point problems with an interior layer

Journal of Computational and Applied Mathematics, 2014
F Z Geng
exaly  

HOPDM (version 2.12) — A fast LP solver based on a primal-dual interior point method

European Journal of Operational Research, 1995
Jacek Gondzio
exaly