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0003902416
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Combinatorial Optimization with Interior Point Methods and Semidefinite Matrices
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Univ. of Minnesota
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(1991)
Ph.D. Thesis
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Alizadeh1
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7
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84918751969
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S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in systems and control theory, monograph in preparation.
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Structured and simultaneous Lyapunov functions for system stability problems
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Boyd1
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Iterative solution of problems of linear and quadratic programming
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M. Fan, A quadratically convergent algorithm on minimizing the largest eigenvalue of a symmetric matrix, Linear Algebra Appl., submitted for publication.
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24
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On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian
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Courant Inst
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27
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F. Jarre, Interior-point methods for convex programming, Appl. Math. Optim., to appear.
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A new polynomial-time algorithm for linear programming
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Combinatorica
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Karmarkar1
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Conic Formulation of a Convex Programming Problem and Duality
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Central Economic and Mathematical Inst., USSR Academy of Sciences, Moscow
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(1991)
Technical Report
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Nesterov1
Nemirovsky2
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37
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Yu. Nesterov and A. Nemirovsky, An interior point method for generalized linear-fractional programming, Math. Programming Ser B, submitted for publication.
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43
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M. Overton and R. Womersley, Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices, Math. Programming, to appear.
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A nondifferentiable optimization algorithm for the design of control systems subject to singular value inequalities over a frequency range
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Automatica
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51
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New algorithms in convex programming based on a notion of “centre” (for systems of analytic inequalities) and on rational extrapolation
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L. Vandenberghe and S. Boyd, Primal-dual potential reduction method for problems involving matrix inequalities, Math. Programming, submitted for publication.
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