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Second-order cone programming

- F. Alizadeh, D. Goldfarb
- Mathematics, Computer ScienceMath. Program.
- 2003

TLDR

Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization

- F. Alizadeh
- Mathematics, Computer ScienceSIAM J. Optim.
- 1 February 1995

TLDR

Extension of primal-dual interior point algorithms to symmetric cones

- S. Schmieta, F. Alizadeh
- Mathematics, Computer ScienceMath. Program.
- 1 June 2003

Abstract. In this paper we show that the so-called commutative class of primal-dual interior point algorithms which were designed by Monteiro and Zhang for semidefinite programming extends… Expand

Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results

- F. Alizadeh, J. Haeberly, M. Overton
- Mathematics, Computer ScienceSIAM J. Optim.
- 1 March 1998

TLDR

Complementarity and nondegeneracy in semidefinite programming

- F. Alizadeh, J. Haeberly, M. Overton
- Mathematics, Computer ScienceMath. Program.
- 1 May 1997

TLDR

Physical mapping of chromosomes using unique probes

- F. Alizadeh, R. Karp, D. Weisser, G. Zweig
- Computer Science, MedicineSODA '94
- 23 January 1994

TLDR

A New Primal-Dual Interior-Point Method for Semidefinite Programming

- F. Alizadeh, J. Haeberly, M. Overton
- Mathematics
- 1 March 1994

The semidefinite programming problem (SDP) is: min tr CX s.t. tr A{sub i}X = b{sub i}, i = 1, {hor_ellipsis}, m, and X {>=} 0. Here C and A{sub i} are fixed symmetric matrices and X {>=} 0 is a… Expand

Associative and Jordan Algebras, and Polynomial Time Interior-Point Algorithms for Symmetric Cones

- S. Schmieta, F. Alizadeh
- Mathematics, Computer ScienceMath. Oper. Res.
- 1 August 2001

We present a general framework whereby analysis of interior-point algorithms for semidefinite programming can be extended verbatim to optimization problems over all classes of symmetric cones… Expand

Physical mapping of chromosomes: A combinatorial problem in molecular biology

- F. Alizadeh, R. Karp, L. Newberg, D. Weisser
- Mathematics, Computer ScienceSODA '93
- 1 February 1995

TLDR

Optimization with Semidefinite, Quadratic and Linear Constraints

- F. Alizadeh, S. Schmieta
- Mathematics
- 1997

We consider optimization problems where variables have either linear, or convex quadratic or semideenite constraints. First, we deene and characterize primal and dual nondegeneracy and strict… Expand

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