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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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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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A Gravitational Interior Point Method for LP
OPSEARCH, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 25 years later
European Journal of Operational Research, 2012Jacek Gondzio
exaly
Hyperbolic Polynomials and Interior Point Methods for Convex Programming
Mathematics of Operations Research, 1997Osman GÜLER
exaly
High Order Infeasible-Interior-Point Methods for Solving Sufficient Linear Complementarity Problems
Mathematics of Operations Research, 1998Shinji Mizuno
exaly