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Polynomial Toolbox

swMATH ID:	7237
Software Authors:	Mathworks
Description:	Discrete-time symmetric polynomial equations with complex coefficients. Discrete-time symmetric polynomial equations with complex coefficients are studied in the scalar and matrix case. New theoretical results are derived and several algorithms are proposed and evaluated. Polynomial reduction algorithms are first described to study theoretical properties of the equations. Sylvester matrix algorithms are then developed to solve numerically the equations. The algorithms are implemented in the Polynomial Toolbox for Matlab.
Homepage:	http://www.mathworks.de/matlabcentral/linkexchange/links/102-polynomial-toolbox
Dependencies:	Matlab
Keywords:	polynomial equation; Sylvester matrix; dynamical system
Related Software:	SeDuMi; PENBMI; YALMIP; Matlab; COMPleib; PENNON; complib; PolyX; SeDuMi Interface; Chebfun; CPLEX; SPOTless; QuadProgBB; FLO; GraphGen; EDIM; PERL; Mosek; GloptiPoly; Benchmarks for Optimization Software
Cited in:	34 Publications

all top 5

10	Henrion, Didier
5	Šebek, Michael
3	Arzelier, Denis
3	Peaucelle, Dimitri
2	Büyükköroğlu, Taner
2	Dzhafarov, Vakif
2	Esen, Özlem
2	Kučera, Vladimir V.
2	Lasserre, Jean-Bernard
2	Rajchakit, Grienggrai
2	Zhan, Xuzhou
1	Ahn, Hyo-Sung
1	Berman, Abraham S.
1	Boito, Paola
1	Bomze, Immanuel M.
1	Boston, Nigel
1	Casavola, Alessandro
1	Chen, Yangquan
1	de Oliveira, Paulo J.
1	Delibaşı, Akın
1	Dong, Shuai
1	Dür, Mirjam
1	Dyachenko, Alexander Victorovich
1	Efimov, Denis V.
1	Eidelman, Yuli
1	Famularo, Domenico
1	Franzè, Giuseppe
1	Fridman, Leonid M.
1	Garone, Emanuele
1	Gemignani, Luca
1	Han, Shaobo
1	Hashim, Fakhruldin Bin Mohd
1	Heß, Roxana
1	Hoon Joo, Young
1	Hu, Yongjian
1	Ježek, Jan
1	Lee, Donghwan
1	Li, Erxiao
1	Li, Haibin
1	Li, Miao
1	Li, Zhaoping
1	Liu, Lei
1	Mao, Weijie
1	Minh, Vu Trieu
1	Moore, Kevin L.
1	Niamsup, Piyapong
1	Nurges, Ülo
1	Oliveira, Ricardo C. L. F.
1	Ou, Liuli
1	Park, Jin Bae
1	Peres, Pedro L. D.
1	Phạm Tiên So’n
1	Phan Thanh Nam
1	Raissi, Tarek
1	Rajchakit, Manlika
1	Sagimoto, Kenji
1	Seydou, Ramatou
1	Shaked-Monderer, Naomi
1	Tarbouriech, Sophie
1	Vũ Ngoc Phát
1	Vyhlídal, Tomáš
1	Wang, Long
1	Wang, Yongji
1	Wang, Zhizhen
1	Yang, Li
1	You, Fucai
1	Yu, Bo
1	Zattoni, Elena
1	Zhang, Tieyan
1	Zhao, Dan
1	Zhao, Yan
1	Zolghadri, Ali

all top 5

7	Automatica
4	Kybernetika
3	IEEE Transactions on Automatic Control
2	Journal of Computational and Applied Mathematics
2	Journal of Control Science and Engineering
1	International Journal of Control
1	Physics Letters. A
1	Mathematics of Computation
1	Applied Mathematics and Computation
1	SIAM Journal on Control and Optimization
1	Systems & Control Letters
1	Applied Mathematics and Mechanics. (English Edition)
1	Mathematical Programming. Series A. Series B
1	Computational Optimization and Applications
1	Abstract and Applied Analysis
1	Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology
1	Journal of Applied Mathematics
1	Advances in Difference Equations
1	Oberwolfach Reports
1	Communications and Control Engineering

all top 5

26	Systems theory; control (93-XX)
9	Linear and multilinear algebra; matrix theory (15-XX)
8	Operations research, mathematical programming (90-XX)
4	Numerical analysis (65-XX)
2	Ordinary differential equations (34-XX)
2	Convex and discrete geometry (52-XX)
2	Statistics (62-XX)
2	Computer science (68-XX)
1	General and overarching topics; collections (00-XX)
1	Real functions (26-XX)
1	Functions of a complex variable (30-XX)
1	Difference and functional equations (39-XX)
1	Approximations and expansions (41-XX)
1	Operator theory (47-XX)
1	Mechanics of deformable solids (74-XX)
1	Biology and other natural sciences (92-XX)