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De novo design of peptides localizing at the interface of biomolecular condensates

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Schneider TN   +6 more
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Approximation of global optimal values of nonconvex programs using Successive Convex Relaxation Method (Continuous and Discrete Mathematics for Optimization)

open access: yesApproximation of global optimal values of nonconvex programs using Successive Convex Relaxation Method (Continuous and Discrete Mathematics for Optimization)
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A New Global Optimization Scheme for Quadratic Programs with Low-Rank Nonconvexity

INFORMS Journal on Computing, 2021
We consider the classical convex constrained nonconvex quadratic programming problem where the Hessian matrix of the objective to be minimized has r negative eigenvalues, denoted by (QPr). Based on a biconvex programming reformulation in a slightly higher dimension, we propose a novel branch-and-bound algorithm to solve (QP1) and show that it returns ...
Xiaoli Cen, Yong Xia 0002
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Global optimization of nonconvex factorable programming problems

Mathematical Programming, 2001
In this paper is presented a global optimization approach for solving a class of nonconvex factorable programming problems, that arise in a variety of engineering process control and design problems. McCormick introduced the nonconvex factorable programming problem in 1976 in a different, but equivalent, form.
Hanif D. Sherali, Hongjie Wang
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Global optimization of a rank-two nonconvex program

Mathematical Methods of Operations Research, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAMBINI, RICCARDO, SODINI, CLAUDIO
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A global optimization method for nonconvex separable programming problems

European Journal of Operational Research, 1999
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Han-Lin Li 0003, Chian-Son Yu
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A global optimization algorithm for nonconvex generalized disjunctive programming and applications to process systems

Computers and Chemical Engineering, 2001
Abstract A global optimization algorithm for nonconvex Generalized Disjunctive Programming (GDP) problems is proposed in this paper. By making use of convex underestimating functions for bilinear, linear fractional and concave separable functions in the continuous variables, the convex hull of each nonlinear disjunction is constructed.
Sangbum Lee, Ignacio E Grossmann
exaly   +2 more sources

On Global Linear Convergence in Stochastic Nonconvex Optimization for Semidefinite Programming

IEEE Transactions on Signal Processing, 2019
Nonconvex reformulations via low-rank factorization for stochastic convex semidefinite optimization problem have attracted arising attention due to their empirical efficiency and scalability. Compared with the original convex formulations, the nonconvex ones typically involve much fewer variables, allowing them to scale to scenarios with millions of ...
Jinshan Zeng, Ke Ma 0001, Yuan Yao 0011
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