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Control applications of nonlinear convex programming
semidefinite programming linear programming convex optimization interior-point methods robust optimal control
2015/8/11
Since 1984 there has been a concentrated effort to develop efficient interior-point methods for linear programming (LP). In the last few years researchers have begun to appreciate a very important pro...
Disciplined convex programming
Convex programming automatic verification symbolic compu-tation modelling language
2015/8/10
Convex programming is a subclass of nonlinear programming (NLP) that unifies and generalizes least squares (LS), linear programming (LP), and convex quadratic programming (QP). It has become quite pop...
Highly Robust Error Correction by Convex Programming
Linear codes decoding of (random) linear codes sparse solutions to underdetermined systems `1 minimization linear programming second-order cone programming the Dantzig selector restricted orthonormality Gaussian random matrices and random projections
2015/6/17
This paper discusses a stylized communications problem where one wishes to transmit a real-valued signal x ∈ Rn (a block of n pieces of information) to a remote receiver. We ask whether it is possible...
Sequential Convex Programming Methods for Solving Nonlinear Optimization Problems with DC constraints
Sequential convex programming DC constraint relaxation technique nonconvex optimization
2011/9/22
Abstract: This paper investigates the relation between sequential convex programming (SCP) as, e.g., defined in [24] and DC (difference of two convex functions) programming. We first present an SCP al...
Absolute Minimizer in Convex Programming by Exponential Penalty
Convexity minimax problems penalty methods nonuniqueness optimal trajectory convergence
2009/1/13
We consider a nonlinear convex program. Under some general hypotheses, we prove that approximate solutions obtained by exponential penalty converge toward a particular solution of the original convex ...
On Generalized Monotone Multifunctions with Applications to Optimality Conditions in Generalized Convex Programming
Generalized monotone multifunction Generalized convex function Quasiconvex Pseudoconvex Generalized subdifferentials Normal cone Level set Local minimum Global minimum Variational inequalities
2008/6/27
Characterization of quasiconvexity and pseudoconvexity of lower semicontinuous functions on Banach spaces are presented in terms of abstract subdifferentials relying on a Mean Value Theorem. We give s...
An Interior-point Trust-region Polynomial Algorithm for Convex Programming
interior-point algorithm self-concordant barrier trust-region subproblem
2012/8/1
An interior-point trust-region algorithm is proposed for minimization of a convex quadratic objective function over a general convex set. The algorithm uses a trust-region model to ensure descent on a...