A Support Based Algorithm for Optimization with Eigenvalue Constraints
, 2013 Optimization of convex functions subject to eigenvalue constraints is intriguing because of peculiar analytical properties of eigenvalues, and is of practical interest because of wide range of applications in fields such as structural design and control ...
Emre Mengi
core
Rigorous packing of unit squares into a circle. [PDF]
J Glob Optim, 2019 Montanher T +4 more
europepmc +1 more source
Global Optimization by Multilevel Coordinate Search
, 1998 . Inspired by a method by Jones et al. (1993), we present a global optimization algorithm based on multilevel coordinate search. It is guaranteed to converge if the function is continuous in the neighborhood of a global minimizer.
Waltraud Huyer, Arnold Neumaier
core
The q-G method : A q-version of the Steepest Descent method for global optimization. [PDF]
Springerplus, 2015 Soterroni AC +3 more
europepmc +1 more source
Global solutions to nonconvex optimization of 4th-order polynomial and log-sum-exp functions
, 2014 This paper presents a canonical dual approach for solving a nonconvex global op-timization problem governed by a sum of fourth-order polynomial and a log-sum-exp function. Such a problem arises extensively in engineering and sciences.
Yi Chen, David Y Gao
core
A range division and contraction approach for nonconvex quadratic program with quadratic constraints. [PDF]
Springerplus, 2016 Xue C, Jiao H, Yin J, Chen Y.
europepmc +1 more source
A modified nonmonotone BFGS algorithm for unconstrained optimization. [PDF]
J Inequal Appl, 2017 Li X, Wang B, Hu W.
europepmc +1 more source
Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization. [PDF]
Math Program, 2018 Gribling S, de Laat D, Laurent M.
europepmc +1 more source
Global optimization in Hilbert space. [PDF]
Math Program, 2019 Houska B, Chachuat B.
europepmc +1 more source
Folded concave penalized sparse linear regression: sparsity, statistical performance, and algorithmic theory for local solutions. [PDF]
Math Program, 2017 Liu H, Yao T, Li R, Ye Y.
europepmc +1 more source