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A Short Survey on Semidefinite Programming (1997)  (Make Corrections)  
E. de Klerk, C. Roos, T. Terlaky
Ten Years LNMB, Ph.d. Research and Graduate Courses of the Dutch Network of Operations Research



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Abstract: Semidefinite programming (SDP) is one of the fastest developing branches of mathematical programming. The reason is twofold: efficient solution algorithms for SDP have come to light in the past few years, and SDP finds applications in combinatorial optimization and engineering. In this short survey we show how SDP duality theory can be used to prove classical results, and review the development of interior point algorithms for SDP. Key words: interior--point method, semidefinite programming 1... (Update)

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BibTeX entry:   (Update)

@incollection{ klerk97short,
    author = "{E. de} Klerk and C. Roos and T. Terlaky",
    title = "A short survey on semidefinite programming",
    booktitle = "{Ten Years {LNMB}, Ph.d. Research and Graduate Courses of the Dutch Network of Operations Research}",
    volume = "122",
    publisher = "Centrum for Mathematics and Informatics (CWI)",
    address = "Amsterdam, The Netherlands",
    editor = "W. K. Klein Haneveld et al.",
    pages = "323--339",
    year = "1997",
    url = "citeseer.ist.psu.edu/deklerk97short.html" }
Citations (may not include all citations):
529   Linear matrix inequalities in system and control theory (context) - Boyd, Ghaoui et al. - 1994
448   A new polynomial--time algorithm for linear programming (context) - Karmarkar - 1984
415   Improved approximation algorithms for maximum cut and satisf.. - Goemans, Williamson - 1995
333   Geometric Algorithms and Combinatorial Optimization (context) - Grotschel, Lov'asz et al. - 1988
326   Interior point polynomial algorithms in convex programming (context) - Nesterov, Nemirovskii - 1994
276   Semidefinite programming - Vandenberghe, Boyd - 1996
230   Interior point methods in semidefinite programming with appl.. - Alizadeh - 1995
186   Primal--dual interior point methods (context) - Wright - 1997
173   An interior-point method for semidefinite programming - Helmberg, Rendl et al. - 1996
121   Self--scaled barriers and interior--point methods for convex.. (context) - Nesterov, Todd - 1994
92   the Nesterov-Todd direction in semidefinite programming - Todd, Toh et al. - 1996
78   Interior point methods for the monotone semidefinite linear .. (context) - Kojima, Shindoh et al. - 1994
72   Cones of matrices and set--functions and 0-1 optimization (context) - Lov'asz, Schrijver - 1991
60   Combinatorial optimization with interior point methods and s.. (context) - Alizadeh - 1991
57   Theory and Algorithms for Linear Optimization: An interior p.. (context) - Roos, Terlaky et al. - 1997
56   the Shannon capacity of a graph (context) - Lov'asz - 1979
55   Symmetric primal--dual path following algorithms for semidef.. - Sturm, Zhang - 1995
51   On extending primal-dual interior point algorithms from line.. - Zhang - 1995
47   A superlinearly convergent primal--dual infeasible--interior.. - Potra, Sheng - 1995
40   Approximating quadratic programming with bound constraints - Ye - 1997
35   Quadratic optimization problems (context) - Shor - 1987
29   An exact duality theory for semidefinite programming and its.. - Ramana - 1997
27   Quality of semidefinite relaxation for nonconvex quadratic o.. (context) - Nesterov - 1997
27   Existence of search directions in interior--point algorithms.. - Shida, Shindoh et al. - 1996
20   Global and local convergence of predictor-corrector infeasib.. - Kojima, Shida et al. - 1995
19   Interior point trajectories in semidefinite programming - Goldfarb, Scheinberg - 1996
18   Duality and self-duality for conic convex programming - Luo, Sturm et al. - 1996
15   A long--step path following algorithm for semidefinite progr.. (context) - Anstreicher, Fampa - 1996
13   A predictor-corrector interior point algorithm for the semid.. - Kojima, Shidah et al. - 1996
13   a matrix generalization of affine--scaling vector fields (context) - Faybusovich - 1995
12   Initialization in semidefinite programming via a self--dual - de Klerk, Roos et al. - 1996
11   Potential reduction polynomial time method for truss topolog.. (context) - Ben-Tal, Nemirovskii - 1994
11   Linear programming with matrix variables (context) - Craven, Mond - 1981
11   On systems of linear inequalities in hermitian matrix variab.. (context) - Bellman, Fan - 1963
10   Nonlinear Programming: Theory and Algorithms (context) - Bazarraa, Sherali et al. - 1993
10   Polynomial primal--dual affine scaling algorithms in semidef.. - de Klerk, Roos et al. - 1996
10   Semi--definite programming: a path--following algorithm for .. (context) - Faybusovich - 1996
10   Primal-dual algorithms for semidefinite programming (context) - Monteiro - 1995
10   A long step primal--dual path following method for semidefin.. (context) - Jiang - 1996
9   Interior point methods: current status and future directions - Freund, Mizuno - 1996
8   Optimization of Structural Topology (context) - Bendse - 1995
8   Optimization methods for truss geometry and topology design (context) - Bendse, Ben-Tal et al. - 1994
8   Semidefinite programming (context) - Ramana, Pardalos - 1996
8   Affine scaling algorithm fails for semidefinite programming - Muramatsu - 1996
5   Semi--definite problems in truss topology optimization - de Klerk, Roos et al. - 1995
5   Interior-point methods for classes of convex programs (context) - Jarre - 1996
4   Primal-dual affine-scaling algorithm fails for semidefinite .. - Muramatsu, Vanderbei - 1997
4   A primal--dual potential reduction algorithm for problems in.. (context) - Vandenberghe, Boyd - 1995
4   Optimal truss design by interior point methods (context) - Jarre, Kocvara et al. - 1996
4   Method of approximate centers for semi--definite programming - He, de Klerk et al. - 1996
4   On primal--dual path--following algorithms in semidefinite p.. - de Klerk, Roos et al. - 1996
3   A finite element method for the optimal design of variable t.. (context) - Rossow, Taylor - 1973
3   On finding the optimal distribution of material properties (context) - Ringertz - 1993
3   the long step path--following method for semidefinite progra.. - Sturm, Zhang - 1996
3   Primal-dual methods for semidefinite programming: convergenc.. (context) - Alizadeh, Haeberley et al. - 1996
2   Interior point polynomial time methods in convex programming (context) - Nemirovskii - 1994
2   Superlinear convergence oa a Symmetric primal--dual path fol.. (context) - Luo, Sturm et al. - 1996
1   Interior point methods: a decade after Karmarkar (context) - Jansen, Roos et al. - 1995
1   Using semi--definite programming for controller design in ac.. (context) - Olkin - 1996

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