Interior point methods (also referred to as barrier methods) are a certain class of algorithms that solves linear and nonlinear convex optimizationâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- Zhang Liu, Lieven Vandenberghe
- SIAM J. Matrix Analysis Applications
- 2009

The nuclear norm (sum of singular values) of a matrix is often used in convex heuristics for rank minimization problems inâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- Seung-Jean Kim, K. Koh, Mike Lustig, S. Boyd, D. M. Gorinevsky
- IEEE Journal of Selected Topics in Signalâ€¦
- 2007

Recently, a lot of attention has been paid to regularization based methods for sparse signal reconstruction (e.g., basis pursuitâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

Recently, a lot of attention has been paid to l1 regularization based methods for sparse signal reconstruction (e.g., basisâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- Kwangmoo Koh, Seung-Jean Kim, Stephen P. Boyd
- Journal of Machine Learning Research
- 2007

Logistic regression with `1 regularization has been proposed as a promising method for feature selection in classificationâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Andreas WÃ¤chter, Lorenz T. Biegler
- Math. Program.
- 2006

We present a primal-dual interior-point algorithm with a filter line-search method for nonlinear programming. Local and globalâ€¦Â (More)

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Highly Cited

2002

Highly Cited

2002

- Michael C. Ferris, Todd S. Munson
- SIAM Journal on Optimization
- 2002

We investigate the use of interior-point methods for solving quadratic programming problems with a small number of linearâ€¦Â (More)

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Highly Cited

1998

Highly Cited

1998

We present a structured interior-point method for the efficient solution of the optimal control problem in model predictiveâ€¦Â (More)

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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 andâ€¦Â (More)

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Highly Cited

1996

Highly Cited

1996

- Christoph Helmberg, Franz Rendl, Robert J. Vanderbei, Henry Wolkowicz
- SIAM Journal on Optimization
- 1996

We propose a new interior point based method to minimize a linear function of a matrix variable subject to linear equality andâ€¦Â (More)

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1994

1994

We propose a new interior point based method to minimize a linear function of a matrix variable subject to linear equality andâ€¦Â (More)

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