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COUPLED MATRIX EQUATIONS

Research Front Map

As part of this bimonthly processing, ScienceWatch.com selects the Research Fronts with the largest absolute increase in size in each of the 22 major fields covered by Essential Science IndicatorsSM from Clarivate Analytics. The size of a research front is determined by the number of core papers it contains. This Research Front titled "COUPLED MATRIX EQUATIONS" from the field of Engineering, was selected for mapping from the list of Top Topics for February 2011 (the fifth bimonthly period of 2010; November 2004-October 31, 2010 [sliding 6-year period]). The map is a diagrammatic representation of the 25 core papers comprising the front in Engineering.

Each circle represents a highly cited paper whose bibliographic information is displayed when the user clicks on the circle. The solid lines between circles represent the strongest co-citation links for each paper (that is, indicating that the papers are frequently cited together); weaker links are indicated by dashed lines. Papers close to each other on the map are generally more highly co-cited. The most recent paper(s) are indicated in pink.

COUPLED MATRIX EQUATIONS

Iterative least-squares solutions of coupled Sylvester matrix equations Hierarchical gradient-based identification of multivariable discrete-time systems An explicit solution to the matrix equation AX-XF = BY Identification of Hammerstein nonlinear ARMAX systems Gradient based iterative algorithms for solving a class of matrix equations On iterative solutions of general coupled matrix equations Performance analysis of multi-innovation gradient type identification methods An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation A X B=C On the generalized Sylvester mapping and matrix equations Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle Parameter identification and intersample output estimation for dual-rate systems Extended stochastic gradient identification algorithms for Hammerstein-Wiener ARMAX systems Weighted least squares solutions to general coupled Sylvester matrix equations Ranks and the least-norm of the general solution to a system of quaternion matrix equations ON THE REFLEXIVE SOLUTIONS OF THE MATRIX EQUATION AX B plus CY D = E An auxiliary model based on a recursive least-squares parameter estimation algorithm for non-uniformly sampled multirate systems Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises Auxiliary model identification method for multirate multi-input systems based on least squares Multiinnovation Least-Squares Identification for System Modeling Auxiliary model based recursive generalized least squares parameter estimation for Hammerstein OEAR systems Auxiliary model-based RELS and MI-ELS algorithm for Hammerstein OEMA systems Input-output data filtering based recursive least squares identification for CARARMA systems Several multi-innovation identification methods Least squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data Closed-form solutions to Sylvester-conjugate matrix equations

Core Papers


Label: Ding-2005
Title: Hierarchical gradient-based identification of multivariable discrete-time systems
Journal: AUTOMATICA, 41 (2): 315-325 FEB 2005
Citations: 58
Authors: Ding, F;Chen, TW
Addresses:
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
So Yangtze Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
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Label: Ding-2005
Title: Iterative least-squares solutions of coupled Sylvester matrix equations
Journal: SYST CONTROL LETT, 54 (2): 95-107 FEB 2005
Citations: 50
Authors: Ding, F;Chen, TW
Addresses:
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
Univ Alberta, Edmonton, AB, Canada
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Label: Ding-2005
Title: Gradient based iterative algorithms for solving a class of matrix equations
Journal: IEEE TRANS AUTOMAT CONTR, 50 (8): 1216-1221 AUG 2005
Citations: 49
Authors: Ding, F;Chen, TW
Addresses:
So Yangtze Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
So Yangtze Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
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Label: Ding-2005
Title: Identification of Hammerstein nonlinear ARMAX systems
Journal: AUTOMATICA, 41 (9): 1479-1489 SEP 2005
Citations: 44
Authors: Ding, F;Chen, TW
Addresses:
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
So Yangtze Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
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Label: Ding-2007
Title: Performance analysis of multi-innovation gradient type identification methods
Journal: AUTOMATICA, 43 (1): 1-14 JAN 2007
Citations: 38
Authors: Ding, F;Chen, TW
Addresses:
So Yangtze Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
So Yangtze Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
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Label: Ding-2006
Title: On iterative solutions of general coupled matrix equations
Journal: SIAM J CONTR OPTIMIZAT, 44 (6): 2269-2284 2006
Citations: 37
Authors: Ding, F;Chen, TW
Addresses:
So Yangtze Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
So Yangtze Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
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Label: Zhou-2005
Title: An explicit solution to the matrix equation AX-XF = BY
Journal: LINEAR ALGEBRA APPL, 402: 345-366 JUN 1 2005
Citations: 32
Authors: Zhou, B;Duan, GR
Addresses:
Harbin Inst Technol, Ctr Control Syst & Guidance Technol, POB 416, Harbin 150001, Peoples R China
Harbin Inst Technol, Ctr Control Syst & Guidance Technol, Harbin 150001, Peoples R China
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Label: Ding-2008
Title: Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
Journal: APPL MATH COMPUT, 197 (1): 41-50 MAR 15 2008
Citations: 31
Authors: Ding, F;Liu, PX;Ding, J
Addresses:
So Yangtze Univ, Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
So Yangtze Univ, Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
Carleton Univ, Dept Syst & Comp Engn, Ottawa, ON K1S 5B6, Canada
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Label: Ding-2008
Title: Parameter identification and intersample output estimation for dual-rate systems
Journal: IEEE TRANS SYST MAN CYBERN A, 38 (4): 966-975 JUL 2008
Citations: 24
Authors: Ding, F;Liu, PX;Yang, HZ
Addresses:
Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
Carleton Univ, Dept Syst & Comp Engn, Ottawa, ON K1S 5B6, Canada
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Label: Wang-2008
Title: Extended stochastic gradient identification algorithms for Hammerstein-Wiener ARMAX systems
Journal: COMPUT MATH APPL, 56 (12): 3157-3164 DEC 2008
Citations: 24
Authors: Wang, DQ;Ding, F
Addresses:
Qingdao Univ, Coll Automat Engn, Qingdao 266071, Peoples R China
Qingdao Univ, Coll Automat Engn, Qingdao 266071, Peoples R China
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
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Label: Ding-2009
Title: Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises
Journal: SIGNAL PROCESS, 89 (10): 1883-1890 OCT 2009
Citations: 22
Authors: Ding, F;Liu, PX;Liu, GJ
Addresses:
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
Carleton Univ, Dept Syst & Comp Engn, Ottawa, ON K1S 5B6, Canada
Ryerson Univ, Dept Aerosp Engn, Toronto, ON M5B 2K3, Canada
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Label: Zhou-2008
Title: On the generalized Sylvester mapping and matrix equations
Journal: SYST CONTROL LETT, 57 (3): 200-208 MAR 2008
Citations: 19
Authors: Zhou, B;Duan, GR
Addresses:
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, POB 416, Harbin 150001, Peoples R China
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
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Label: Huang-2008
Title: An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation A X B=C
Journal: J COMPUT APPL MATH, 212 (2): 231-244 MAR 1 2008
Citations: 14
Authors: Huang, GX;Yin, F;Guo, K
Addresses:
Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Peoples R China
Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Peoples R China
Chengdu Univ Technol, Coll Informat & Management, Chengdu 610059, Peoples R China
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Label: Han-2009
Title: Auxiliary model identification method for multirate multi-input systems based on least squares
Journal: MATH COMPUT MODELLING, 50 (7-8): 1100-1106 OCT 2009
Citations: 11
Authors: Han, LL;Sheng, J;Ding, F;Shi, Y
Addresses:
Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
Univ Washington, Inst Technol, Tacoma, WA 98402 USA
Univ Saskatchewan, Dept Mech Engn, Saskatoon, SK S7N 5A9, Canada
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Label: Liu-2009
Title: An auxiliary model based on a recursive least-squares parameter estimation algorithm for non-uniformly sampled multirate systems
Journal: PROC INST MECH ENG I-J SYST C, 223 (I4): 445-454 JUN 2009
Citations: 11
Authors: Liu, YJ;Xie, L;Ding, F
Addresses:
Jiangnan Univ, Sch Commun & Control Engn, 1800 Lihu Lake Rd, Wuxi 214122, Jiangsu, Peoples R China
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Jiangsu, Peoples R China
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Label: Zhou-2009
Title: Weighted least squares solutions to general coupled Sylvester matrix equations
Journal: J COMPUT APPL MATH, 224 (2): 759-776 FEB 15 2009
Citations: 11
Authors: Zhou, B;Li, ZY;Duan, GR;Wang, Y
Addresses:
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, POB 416, Harbin 150001, Peoples R China
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
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Label: Wang-2009
Title: Ranks and the least-norm of the general solution to a system of quaternion matrix equations
Journal: LINEAR ALGEBRA APPL, 430 (5-6): 1626-1640 Sp. Iss. SI MAR 1 2009
Citations: 10
Authors: Wang, QW;Li, CK
Addresses:
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
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Label: Dehghan-2009
Title: ON THE REFLEXIVE SOLUTIONS OF THE MATRIX EQUATION AX B plus CY D = E
Journal: BULL KOREAN MATH SOC, 46 (3): 511-519 MAY 2009
Citations: 8
Authors: Dehghan, M;Hajarian, M
Addresses:
Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, Iran
Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
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Label: Wang-2010
Title: Auxiliary model based recursive generalized least squares parameter estimation for Hammerstein OEAR systems
Journal: MATH COMPUT MODELLING, 52 (1-2): 309-317 JUL 2010
Citations: 6
Authors: Wang, DQ;Chu, YY;Yang, GW;Ding, F
Addresses:
Qingdao Univ Jiangnan Univ, Coll Automat Engn, Qingdao 266071, Peoples R China
Qingdao Univ, Coll Automat Engn, Qingdao 266071, Peoples R China
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
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Label: Ding-2010
Title: Multiinnovation Least-Squares Identification for System Modeling
Journal: IEEE TRANS SYST MAN CYBERN B, 40 (3): 767-778 Sp. Iss. SI JUN 2010
Citations: 4
Authors: Ding, F;Liu, PX;Liu, GJ
Addresses:
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
Carleton Univ, Dept Syst & Comp Engn, Ottawa, ON K1S 5B6, Canada
Ryerson Univ, Dept Aerosp Engn, Toronto, ON M5B 2K3, Canada
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Label: Liu-2010
Title: Least squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data
Journal: DIGIT SIGNAL PROCESS, 20 (5): 1458-1467 SEP 2010
Citations: 4
Authors: Liu, YJ;Wang, DQ;Ding, F
Addresses:
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
Qingdao Univ, Coll Automat Engn, Qingdao 266071, Peoples R China
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Label: Wang-2010
Title: Auxiliary model-based RELS and MI-ELS algorithm for Hammerstein OEMA systems
Journal: COMPUT MATH APPL, 59 (9): 3092-3098 MAY 2010
Citations: 4
Authors: Wang, DQ;Chu, YY;Ding, F
Addresses:
Qingdao Univ, Coll Automat Engn, Jiangnan Univ, Qingdao 266071, Peoples R China
Qingdao Univ, Coll Automat Engn, Jiangnan Univ, Qingdao 266071, Peoples R China
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
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Label: Ding-2010
Title: Several multi-innovation identification methods
Journal: DIGIT SIGNAL PROCESS, 20 (4): 1027-1039 JUL 2010
Citations: 3
Authors: Ding, F
Addresses:
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
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Label: Wang-2010
Title: Input-output data filtering based recursive least squares identification for CARARMA systems
Journal: DIGIT SIGNAL PROCESS, 20 (4): 991-999 JUL 2010
Citations: 3
Authors: Wang, DQ;Ding, F
Addresses:
Qingdao Univ, Coll Automat Engn, Qingdao 266071, Peoples R China
Qingdao Univ, Coll Automat Engn, Qingdao 266071, Peoples R China
Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
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Label: Wu-2010
Title: Closed-form solutions to Sylvester-conjugate matrix equations
Journal: COMPUT MATH APPL, 60 (1): 95-111 JUL 2010
Citations: 3
Authors: Wu, AG;Feng, G;Duan, GR;Wu, WJ
Addresses:
Harbin Inst Technol Shenzhen Grad Sch, Informat & Control Res Ctr, Shenzhen 518055, Peoples R China
Harbin Inst Technol Shenzhen Grad Sch, Informat & Control Res Ctr, Shenzhen 518055, Peoples R China
City Univ Hong Kong, Dept Mfg Engn & Engn Management, Kowloon, Hong Kong, Peoples R China
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
Xidian Univ, Natl Key Lab Antennas & Microwave Technol, Xian, Peoples R China
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KEYWORDS: AUXILIARY MODEL BASED RECURSIVE GENERALIZED LEAST SQUARES PARAMETER ESTIMATION; AUXILIARY MODEL BASED MULTI-INNOVATION EXTENDED STOCHASTIC GRADIENT PARAMETER ESTIMATION; INPUT-OUTPUT DATA FILTERING BASED RECURSIVE LEAST SQUARES IDENTIFICATION.
[2178 (2000-2010_5) (ENG/MATH; TOP TOPICS) (FEBRUARY 2011)]

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