Convex relaxations for nonconvex quadratically constrained quadratic programming: matrix cone decomposition and polyhedral approximation

Mathematical Programming ◽

10.1007/s10107-011-0466-y ◽

2011 ◽

Vol 129 (2) ◽

pp. 301-329 ◽

Author(s):

Xiao Jin Zheng ◽

Xiao Ling Sun ◽

Duan Li

Keyword(s):

Quadratic Programming ◽

Polyhedral Approximation ◽

Convex Relaxations ◽

Quadratically Constrained Quadratic Programming ◽

Quadratically Constrained ◽

Cone Decomposition

Download Full-text

Second order cone constrained convex relaxations for nonconvex quadratically constrained quadratic programming

Journal of Global Optimization ◽

10.1007/s10898-019-00793-y ◽

2019 ◽

Vol 75 (2) ◽

pp. 461-494

Author(s):

Rujun Jiang ◽

Duan Li

Keyword(s):

Quadratic Programming ◽

Second Order ◽

Convex Relaxations ◽

Quadratically Constrained Quadratic Programming ◽

Second Order Cone ◽

Quadratically Constrained

Download Full-text

On convex relaxations for quadratically constrained quadratic programming

Mathematical Programming ◽

10.1007/s10107-012-0602-3 ◽

2012 ◽

Vol 136 (2) ◽

pp. 233-251 ◽

Author(s):

Kurt M. Anstreicher

Keyword(s):

Quadratic Programming ◽

Convex Relaxations ◽

Quadratically Constrained Quadratic Programming ◽

Quadratically Constrained

Download Full-text

Architecting a fully fuzzy information model for multi-level quadratically constrained quadratic programming problem

OPSEARCH ◽

10.1007/s12597-019-00368-1 ◽

2019 ◽

Vol 56 (2) ◽

pp. 367-389 ◽

Author(s):

Hawaf AbdAlhakim ◽

O. E. Emam ◽

A. A. Abd El-Mageed

Keyword(s):

Quadratic Programming ◽

Programming Problem ◽

Information Model ◽

Quadratic Programming Problem ◽

Fuzzy Information ◽

Quadratically Constrained Quadratic Programming ◽

Multi Level ◽

Quadratically Constrained

Download Full-text

A Sequential Quadratically Constrained Quadratic Programming Method of Feasible Directions

Applied Mathematics & Optimization ◽

10.1007/s00245-007-9010-0 ◽

2007 ◽

Vol 56 (3) ◽

pp. 343-363 ◽

Author(s):

Jin-bao Jian ◽

Qing-jie Hu ◽

Chun-ming Tang ◽

Hai-yan Zheng

Keyword(s):

Quadratic Programming ◽

Programming Method ◽

Feasible Directions ◽

Quadratically Constrained Quadratic Programming ◽

Method Of Feasible Directions ◽

Quadratic Programming Method ◽

Quadratically Constrained

Download Full-text

Hidden convexity in some nonconvex quadratically constrained quadratic programming

Mathematical Programming ◽

10.1007/bf02592331 ◽

1996 ◽

Vol 72 (1) ◽

pp. 51-63 ◽

Author(s):

Aharon Ben-Tal ◽

Marc Teboulle

Keyword(s):

Quadratic Programming ◽

Quadratically Constrained Quadratic Programming ◽

Hidden Convexity ◽

Quadratically Constrained

Download Full-text

A branch and cut algorithm for nonconvex quadratically constrained quadratic programming

Mathematical Programming ◽

10.1007/s101079900106 ◽

2000 ◽

Vol 87 (1) ◽

pp. 131-152 ◽

Author(s):

Charles Audet ◽

Pierre Hansen ◽

Brigitte Jaumard ◽

Gilles Savard

Keyword(s):

Quadratic Programming ◽

Branch And Cut ◽

Quadratically Constrained Quadratic Programming ◽

Quadratically Constrained

Download Full-text

Subspace Clustering with Priors via Sparse Quadratically Constrained Quadratic Programming

2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) ◽

10.1109/cvpr.2016.562 ◽

2016 ◽

Author(s):

Yongfang Cheng ◽

Yin Wang ◽

Mario Sznaier ◽

Octavia Camps

Keyword(s):

Quadratic Programming ◽

Subspace Clustering ◽

Quadratically Constrained Quadratic Programming ◽

Quadratically Constrained

Download Full-text

A sequential quadratically constrained quadratic programming method for unconstrained minimax problems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.08.046 ◽

2010 ◽

Vol 362 (1) ◽

pp. 34-45 ◽

Author(s):

Jin-bao Jian ◽

Mian-tao Chao

Keyword(s):

Quadratic Programming ◽

Minimax Problems ◽

Programming Method ◽

Quadratically Constrained Quadratic Programming ◽

Quadratic Programming Method ◽

Quadratically Constrained

Download Full-text

Semidefinite approximation bound for a class of nonhomogeneous nonconvex quadratically constrained quadratic programming problem

Optimization Letters ◽

10.1007/s11590-018-1283-5 ◽

2018 ◽

Vol 13 (4) ◽

pp. 837-845

Author(s):

Zi Xu ◽

Siqi Tao ◽

Kaiyao Lou

Keyword(s):

Quadratic Programming ◽

Programming Problem ◽

Quadratic Programming Problem ◽

Quadratically Constrained Quadratic Programming ◽

Approximation Bound ◽

Quadratically Constrained

Download Full-text

Consensus-ADMM for General Quadratically Constrained Quadratic Programming

IEEE Transactions on Signal Processing ◽

10.1109/tsp.2016.2593681 ◽

2016 ◽

Vol 64 (20) ◽

pp. 5297-5310 ◽

Author(s):

Kejun Huang ◽

Nicholas D. Sidiropoulos

Keyword(s):

Quadratic Programming ◽

Quadratically Constrained Quadratic Programming ◽

Quadratically Constrained

Download Full-text