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Interior point method

Known as: Interior-point method, Interior-point methods, IPM 
Interior point methods (also referred to as barrier methods) are a certain class of algorithms that solves linear and nonlinear convex optimization… Expand
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Papers overview

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Highly Cited
2007
Highly Cited
2007
Recently, a lot of attention has been paid to regularization based methods for sparse signal reconstruction (e.g., basis pursuit… Expand
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Highly Cited
2007
Highly Cited
2007
Logistic regression with l1 regularization has been proposed as a promising method for feature selection in classification… Expand
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Highly Cited
2006
Highly Cited
2006
Abstract.We present a primal-dual interior-point algorithm with a filter line-search method for nonlinear programming. Local and… Expand
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Highly Cited
2003
Highly Cited
2003
Abstract. Based on the work of the Nesterov and Todd on self-scaled cones an implementation of a primal-dual interior-point… Expand
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Highly Cited
1999
Highly Cited
1999
The design and implementation of a new algorithm for solving large nonlinear programming problems is described. It follows a… Expand
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Highly Cited
1996
Highly Cited
1996
We propose a new interior-point-based method to minimize a linear function of a matrix variable subject to linear equality and… Expand
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Highly Cited
1994
Highly Cited
1994
 
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Highly Cited
1992
Highly Cited
1992
This paper gives an approach to implementing a second-order primal-dual interior point method. It uses a Taylor polynomial of… Expand
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Highly Cited
1987
Highly Cited
1987
Written for specialists working in optimization, mathematical programming, or control theory. The general theory of path… Expand
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Highly Cited
1987
Highly Cited
1987
Preface Notation 1. Introduction. Linear Programming Primal-Dual Methods The Central Path A Primal-Dual Framework Path-Following… Expand
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