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Degeneracy in interior point methods for linear programming: A survey. [PDF]

open access: yes
Roos, C.   +4 more
core  

The interior-point method for linear programming

IEEE Software, 1992
A robust, reliable, and efficient implementation of the primal-dual interior-point method for linear programs, which is based on three well-established optimization algorithms, is presented. The authors discuss the theoretical foundation for interior-point methods which consists of three crucial building blocks: Newton's method for solving nonlinear ...
Greg Astfalk   +3 more
exaly   +2 more sources

Interior-Point Methods

2017
One of the most powerful methods for solving nonlinear optimization problems known as interior point methods is to be presented in this chapter. They are related to barrier functions. The terms “interior point methods” and “barrier methods” have the same significance and may be used interchangeably.
Nikolaos Ploskas, Nikolaos Samaras
  +5 more sources

Insights into the interior-point methods

ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, 1992
This paper studies the search directions of three important interior- point algorithms, namely, the primal-affine scaling method, the dual- affine scaling method and the primal-dual interior point method (with logarithmic barrier function). From an algebraic point of view, the paper shows that the search directions of these three algorithms are merely ...
Ruey-Lin Sheu, Shu-Cherng Fang
openaire   +2 more sources

Interior point methods for placement

1994 IEEE International Symposium on Circuits and Systems (ISCAS), 1994
In VLSI layout optimization, the placement problem is usually solved with simulated annealing or heuristic algorithms. These procedures often begin with random initial configurations but may benefit greatly (in terms of execution time or quality of solution) when good initial relative placements are provided.
P. Chin, Anthony Vannelli
openaire   +2 more sources

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