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In 1994, Boyd and Laurent El Ghaoui, Eric Feron, and Ragu Balakrishnan authored the book Linear Matrix Inequalities in System & Control Theory. [15] Around 1999, he and Lieven Vandenberghe developed a PhD-level course and wrote the book Convex Optimization to introduce and apply convex optimization to other fields. [13]
Convex optimization is a subfield of ... Theory and Examples, Second Edition (PDF ... Convex Optimization Book by Lieven Vandenberghe and Stephen P. Boyd
Convex quadratically constrained quadratic programs can also be formulated as SOCPs by reformulating the objective function as a constraint. [4] Semidefinite programming subsumes SOCPs as the SOCP constraints can be written as linear matrix inequalities (LMI) and can be reformulated as an instance of semidefinite program. [ 4 ]
Conic optimization is a subfield of convex optimization that studies problems consisting of minimizing a convex function over the intersection of an affine subspace and a convex cone. The class of conic optimization problems includes some of the most well known classes of convex optimization problems, namely linear and semidefinite programming .
According to Boyd/Vandenberghe, which is considered a standard reference, a convex optimization problem has three additional requirements as compared to a general optimization problem, namely 1) the objective function must be convex (in the case of minimization), 2) the inequality constraint functions must be convex, and 3) the equality ...
Boyd, Stephen; Lieven Vandenberghe (2004). Convex Optimization (PDF). Cambridge University Press. p. 362. ISBN 0-521-83378-7; Ratnaparkhi A. (1997) "A simple introduction to maximum entropy models for natural language processing" Technical Report 97-08, Institute for Research in Cognitive Science, University of Pennsylvania. An easy-to-read ...
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In mathematics, the Chambolle-Pock algorithm is an algorithm used to solve convex optimization problems. It was introduced by Antonin Chambolle and Thomas Pock [1] in 2011 and has since become a widely used method in various fields, including image processing, [2] [3] [4] computer vision, [5] and signal processing.