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Abstract: This paper deals with a class of primal-dual interior-point algorithms for semidefinite programming (SDP) which was recently introduced by Kojima, Shindoh and Hara [11]. These authors proposed a family of primal-dual search directions that generalizes the one used in algorithms for linear programming based on the scaling matrix X 1=2 S \Gamma1=2 . They study three primaldual algorithms based on this family of search directions: a short-step path-following method, a feasible... (Update)
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BibTeX entry: (Update)
R.D.C. Monteiro, "Primal-Dual Path Following Algorithms for Semidefinite Programming," Working Paper, School Industrial and Systems Engineering, Georgia Tech., Atlanta, GA 30332, September 1995. http://citeseer.ist.psu.edu/268673.html More
@article{ monteiro97primaldual,
author = "R. D. C. Monteiro",
title = "Primal-Dual Path Following Algorithms for Semidefinite Programming",
journal = "SIAM Journal on Optimization",
volume = "7",
pages = "663--678",
year = "1997",
url = "citeseer.ist.psu.edu/268673.html" }
Citations (may not include all citations):708 Cambridge University Press (context) - Horn, Johnson et al. - 1985
230 Interior point methods in semidefinite programming with appl.. - Alizadeh - 1995
173 An interior-point method for semidefinite programming - Helmberg, Rendl et al. - 1994
146 Primal-dual interior-point methods for semidefinite programm.. - Alizadeh, Haeberly et al. - 1994 ACM
142 Primal-dual interior-point methods for self-scaled cones - Nesterov, Todd - 1995 ACM
140 Interior path-following primal-dual algorithms (context) - Monteiro, Adler - 1989
90 A primal-dual potential reduction method for problems involv.. - Vandenberghe - 1995 ACM
85 A primal--dual interior point algorithm for linear programmi.. (context) - Kojima, Mizuno et al. - 1989
73 A polynomial-time algorithm for a class of linear complement.. (context) - Kojima, Mizuno et al. - 1989
49 An interior-point method for minimizing the maximum eigenval.. (context) - Jarre - 1993 ACM
46 Matrix Computations: Second Edition (context) - Golub, Loan - 1989
41 Cambridge University Press (context) - Matrix - 1991
14 A class of projective transformations for linear programming (context) - Ye - 1990 ACM DBLP
9 Primal-dual interior point algorithms for convex quadratical.. (context) - Adler, Alizadeh - 1994
8 A general approach to the design of optimal methods for smoo.. (context) - Nesterov, Nemirovskii - 1988
6 Society for Industrial and Applied Mathematics (context) - Methods, Programming et al. - 1994
4 part II: Convex quadratic programming (context) - primal-dual - 1989
4 Central Economic & Mathematical Institute (context) - functions, methods et al. - 1989
3 Central Economic & Mathematical Institute (context) - positive, matrices et al. - 1990
2 School of Operations Research and Industrial Engineering (context) - barriers, for et al. - 1995
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