Keyword: barrier function

Found 19 papers in total
A lower‐bound formulation for the geometry and topology optimization of truss structures under multiple loading
A lower‐bound formulation for the geometry and topology optimization of truss structures under multiple loading
2013,
In this contribution, we propose an effective formulation to address the...
Primal‐dual interior‐point algorithm for semidefinite optimization based on a new kernel function with trigonometric barrier term
Primal‐dual interior‐point algorithm for semidefinite optimization based on a new kernel function with trigonometric barrier term
2012,
In this paper we propose primal‐dual interior‐point algorithms for...
A full‐NT‐step infeasible interior‐point algorithm for SDP based on kernel functions
A full‐NT‐step infeasible interior‐point algorithm for SDP based on kernel functions
2011,
This paper proposes an infeasible interior‐point algorithm with full...
On the optimal parameter of a self-concordant barrier over a symmetric cone
On the optimal parameter of a self-concordant barrier over a symmetric cone
2006,
The properties of the barrier F(x) = -log(det(x)) , defined over the cone of squares...
Augmented self-concordant barriers and nonlinear optimization problems with finite complexity
Augmented self-concordant barriers and nonlinear optimization problems with finite complexity
2004,
In this paper we study special barrier functions for convex cones, which are the sum...
Two properties of condition numbers for convex programs via implicitly defined barrier functions
Two properties of condition numbers for convex programs via implicitly defined barrier functions
2002,
We study two issues on condition numbers for convex programs: one has to do with the...
On the convergence of the Newton/log-barrier method
On the convergence of the Newton/log-barrier method
2001,
In the Newton/log-barrier method, Newton steps are taken for the log-barrier function...
On the existence and convergence of the central path for convex programming and some duality results
On the existence and convergence of the central path for convex programming and some duality results
1998,
This paper gives several equivalent conditions which guarantee the existence of the...
How to deal with the unbounded in optimization: Theory and algorithms
How to deal with the unbounded in optimization: Theory and algorithms
1997,
The aim of this survey is to show how the unbounded arises in optimization problems...
Interior point methods for linear programming: Computational state of the art
Interior point methods for linear programming: Computational state of the art
1994,
A survey of the significant developments in the field of interior point methods for...
Solving a class of LP problems with a primal–dual logarithmic barrier method
Solving a class of LP problems with a primal–dual logarithmic barrier method
1995,
Applying a higher order primal–dual logarithmic barrier method for solving large...
Interior dual proximal point algorithm for linear programs
Interior dual proximal point algorithm for linear programs
1994,
A new algorithm for solving a linear program based on an interior point method applied...
On self-concordant barrier functions for conic hulls and fractional programming
On self-concordant barrier functions for conic hulls and fractional programming
1996,
Given a self-concordant barrier function for a convex set 𝒮, we determine a...
Computational experience with penalty-barrier methods for nonlinear programming
Computational experience with penalty-barrier methods for nonlinear programming
1996,
It was recently shown that modified barrier methods are not only theoretically but...
The Newton modified barrier method for QP problems
The Newton modified barrier method for QP problems
1996,
The Modified Barrier Function (MBF) have elements of both Classical Lagrangians (CL)...
Inverse barrier methods for linear programming
Inverse barrier methods for linear programming
1994,
In the recent interior point methods for linear programming much attention has been...
A logarithmic barrier cutting plane method for convex programming
A logarithmic barrier cutting plane method for convex programming
1995,
The paper presents a logarithmic barrier cutting plane algorithm for convex (possibly...
A build-up variant of the logarithmic barrier method for LP
A build-up variant of the logarithmic barrier method for LP
1992,
The authors propose a strategy for building up the linear program while using a...
Modified barrier functions (theory and methods)
Modified barrier functions (theory and methods)
1992,
The nonlinear rescaling principle employs monotone and sufficiently smooth functions...
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