Copositive optimization–recent developments and applications

IM Bomze - European Journal of Operational Research, 2012 - Elsevier
Due to its versatility, copositive optimization receives increasing interest in the Operational
Research community, and is a rapidly expanding and fertile field of research. It is a special …

Copositive programming–a survey

M Dür - Recent Advances in Optimization and its Applications …, 2010 - Springer
Copositive programming is a relatively young field in mathematical optimization. It can be
seen as a generalization of semidefinite programming, since it means optimizing over the …

Graph-based quadratic optimization: A fast evolutionary approach

SR Bulo, M Pelillo, IM Bomze - Computer Vision and Image Understanding, 2011 - Elsevier
Quadratic optimization lies at the very heart of many structural pattern recognition and
computer vision problems, such as graph matching, object recognition, image segmentation …

Think co (mpletely) positive! Matrix properties, examples and a clustered bibliography on copositive optimization

IM Bomze, W Schachinger, G Uchida - Journal of Global Optimization, 2012 - Springer
Copositive optimization is a quickly expanding scientific research domain with wide-spread
applications ranging from global nonconvex problems in engineering to NP-hard …

Nonparametric density estimation with nonuniform B-spline bases

X Wang, Y Zhao, Q Ni, S Tang - Journal of Computational and Applied …, 2024 - Elsevier
Recently, Kirkby et al. introduced a general and efficient nonparametric density estimation
procedure for local bases that is based on the statistical Galerkin method. However, the …

Projection free methods on product domains

I Bomze, F Rinaldi, D Zeffiro - Computational Optimization and Applications, 2024 - Springer
Projection-free block-coordinate methods avoid high computational cost per iteration, and at
the same time exploit the particular problem structure of product domains. Frank–Wolfe-like …

A first-order interior-point method for linearly constrained smooth optimization

P Tseng, IM Bomze, W Schachinger - Mathematical Programming, 2011 - Springer
We propose a first-order interior-point method for linearly constrained smooth optimization
that unifies and extends first-order affine-scaling method and replicator dynamics method for …

Standard bi-quadratic optimization problems and unconstrained polynomial reformulations

IM Bomze, C Ling, L Qi, X Zhang - Journal of Global Optimization, 2012 - Springer
A so-called Standard Bi-Quadratic Optimization Problem (StBQP) consists in minimizing a bi-
quadratic form over the Cartesian product of two simplices (so this is different from a Bi …

A Systematic Literature Review on Quadratic Programming

PA Yagi, EAP Quiroz, MAC Lengua - Proceedings of Seventh International …, 2022 - Springer
The aim of this paper is to present a review on the state-of-the-art related to quadratic
programming (QP) according to the methodology of Kitchenham and Charter. Our review …

An affine scaling method for optimization problems with polyhedral constraints

WW Hager, H Zhang - Computational Optimization and Applications, 2014 - Springer
Recently an affine scaling, interior point algorithm ASL was developed for box constrained
optimization problems with a single linear constraint (Gonzalez-Lima et al., SIAM J. Optim …