Complex Optimization Toolbox swMATH ID: 14744 Software Authors: L. Sorber, M. Van Barel, L. De Lathauwer Description: The Complex Optimization Toolbox is a MATLAB toolbox for optimizing problems in complex variables, although real optimization is also possible and is without performance penalty. Included are generalized algorithms for unconstrained nonlinear optimization: nonlinear conjugate gradient and limited-memory BFGS with Moré–Thuente line search or dogleg trust region, nonlinear least squares: minimization of vector-, matrix- or tensor-valued residual functions, complex bound constraints, Levenberg–Marquardt and Gauss–Newton with CG–Steihaug or dogleg trust region, and much more: automated numerical real and complex differentiation, preservation of unknowns in their original format (i.e., as a vector, matrix, tensor or even a cell array of tensors), preconditioned conjugate gradient, … The Complex Optimization Toolbox is part of Tensorlab, a MATLAB toolbox for tensor computations. Please consult the Tensorlab user guide to get started with the Complex Optimization Toolbox. Alternatively, see the toolbox’s Contents.m for an overview of its functionality. For questions, bug reports or other inquiries, please contact cot@cs.kuleuven.be. Homepage: http://www.esat.kuleuven.be/sista/cot/ Dependencies: Matlab Related Software: Tensorlab; YALMIP; SDPT3; SeDuMi; CVX; ElemStatLearn; LBFGS-B; L-BFGS; L-BFGS-B; GitHub; CIRR; SparseMatrix; FEAST; PhaseLift; PDCO; Regularization tools; Multilinear Engine; Ipopt; LIBSVM; bmrm Cited in: 30 Publications all top 5 Cited by 68 Authors 4 Van Barel, Marc 3 De Lathauwer, Lieven 3 Sorber, Laurent 2 Audibert, Lorenzo 2 Cogar, Samuel 2 Di, Zichao 2 Haddar, Houssem 2 Jiang, Bo 2 Li, Lu 2 Li, Zhening 1 Adali, Tülay 1 Aghamiry, Hossein S. 1 Allahviranloo, Tofigh 1 Amini, Keyvan 1 Bientinesi, Paolo 1 Boukouvalas, Zois 1 Brust, Johannes J. 1 Che, Maolin 1 Colton, David Lem 1 Debals, Otto 1 Di Napoli, Edoardo A. 1 Domanov, Ignat 1 Fu, Taoran 1 Fung, Samy Wu 1 Garcia-Cardona, Cristina 1 Gholami, Ali 1 Jiang, Haijun 1 Josz, Cédric 1 Khalil, Houssam 1 Khouja, Rima 1 Kollnig, Konrad 1 Kuo, Yueh-Cheng 1 Kürschner, Patrick 1 Lachambre, Hélène 1 Le, Thanh Hieu 1 Lee, Tsung-Lin 1 Leyffer, Sven 1 Li, Na 1 Li, Yuan 1 Liu, Jialin 1 Liu, Shuxin 1 Long, Qunfang 1 Mei, Xuehui 1 Molzahn, Daniel K. 1 Monk, Peter B. 1 Mourrain, Bernard 1 Mowakeaa, Rami 1 Onchiş, Darian M. 1 Operto, Stéphane 1 Petra, Cosmin G. 1 Qi, Liqun 1 Rahpeymaii, Farzad 1 Ricaud, Benjamin 1 Rostamy-Malkhalifeh, Mohsen 1 Stempfel, Guillaume 1 Torrésani, Bruno S. 1 Vervliet, Nico 1 Wang, Lun 1 Wang, Xingyu 1 Wei, Yimin 1 Wiesmeyr, Christoph 1 Wohlberg, Brendt E. 1 Xia, Youshen 1 Yin, Wotao 1 Zhang, Juli 1 Zhang, Shuzhong 1 Zhang, Songchuan 1 Zheng, Wei Xing all top 5 Cited in 16 Serials 4 Inverse Problems 4 SIAM Journal on Imaging Sciences 3 Calcolo 3 Linear Algebra and its Applications 2 Neural Networks 2 SIAM Journal on Optimization 2 Computational Optimization and Applications 2 SIAM Journal on Scientific Computing 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Multidimensional Systems and Signal Processing 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 The ANZIAM Journal 1 Journal of Applied Analysis and Computation all top 5 Cited in 22 Fields 17 Numerical analysis (65-XX) 13 Operations research, mathematical programming (90-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Partial differential equations (35-XX) 4 Operator theory (47-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year