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On Numerical Issues of Interior Point Methods
SIAM Journal on Matrix Analysis and Applications, 2008This 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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A Gravitational Interior Point Method for LP
OPSEARCH, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Interior point methods for equilibrium problems
Computational Optimization and Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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An interior point method for nonlinear programming
Zeitschrift für Operations Research, 1979In 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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A Quantum Interior Point Method for LPs and SDPs
ACM Transactions on Quantum Computing, 2020Anupam Prakash, Iordanis Kerenidis
exaly
Interior Point Methods 25 Years Later
European Journal of Operational Research, 2012Jacek Gondzio
exaly
Interior Point Methods for Nonlinear Optimization
Lecture Notes in Mathematics, 2010Imre Pólik, Tamás Terlaky
exaly