메뉴 건너뛰기




Volumn 217, Issue 1, 2010, Pages 130-142

Iterative solutions to the extended Sylvester-conjugate matrix equations

Author keywords

2 Norm; Convergence; Extended Sylvester conjugate matrix equation; Iterative algorithm; Real representation

Indexed keywords

COEFFICIENT MATRIX; COMPLEX MATRICES; CONVERGENCE CONDITIONS; CONVERGENCE FACTOR; HIERARCHICAL IDENTIFICATION PRINCIPLE; ITERATIVE ALGORITHM; ITERATIVE SOLUTIONS; MATRIX; MATRIX EQUATIONS; NUMERICAL EXAMPLE;

EID: 77955425442     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.05.029     Document Type: Article
Times cited : (51)

References (23)
  • 1
    • 26244448321 scopus 로고    scopus 로고
    • Gradient based iterative algorithms for solving a class of matrix equations
    • F. Ding, and T. Chen Gradient based iterative algorithms for solving a class of matrix equations IEEE Transactions on Automatic Control 50 8 2005 1216 1221
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.8 , pp. 1216-1221
    • Ding, F.1    Chen, T.2
  • 2
    • 38949156204 scopus 로고    scopus 로고
    • Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
    • F. Ding, P.X. Liu, and J. Ding Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle Applied Mathematics and Computation 197 1 2008 41 50
    • (2008) Applied Mathematics and Computation , vol.197 , Issue.1 , pp. 41-50
    • Ding, F.1    Liu, P.X.2    Ding, J.3
  • 3
    • 61349108786 scopus 로고    scopus 로고
    • An iterative algorithm for solving a class of matrix equations
    • M. Wang, and Y. Feng An iterative algorithm for solving a class of matrix equations Journal of Control Theory and Applications 7 1 2009 68 72
    • (2009) Journal of Control Theory and Applications , vol.7 , Issue.1 , pp. 68-72
    • Wang, M.1    Feng, Y.2
  • 4
    • 33747873198 scopus 로고    scopus 로고
    • An iterative method for the least squares symmetric solution of matrix equation AXB = C
    • J.J. Hou, Z.Y. Peng, and X.L. Zhang An iterative method for the least squares symmetric solution of matrix equation AXB = C Numerical Algorithms 42 2006 181 192
    • (2006) Numerical Algorithms , vol.42 , pp. 181-192
    • Hou, J.J.1    Peng, Z.Y.2    Zhang, X.L.3
  • 5
    • 26844500702 scopus 로고    scopus 로고
    • An iterative method for the least squares symmetric solution of the linear matrix equation AXB = C
    • Z.Y. Peng An iterative method for the least squares symmetric solution of the linear matrix equation AXB = C Applied Mathematics and Computation 170 2005 711 723
    • (2005) Applied Mathematics and Computation , vol.170 , pp. 711-723
    • Peng, Z.Y.1
  • 6
    • 61449108996 scopus 로고    scopus 로고
    • Gradient based iterative algorithm for solving coupled matrix equations
    • B. Zhou, G.R. Duan, and Z.Y. Li Gradient based iterative algorithm for solving coupled matrix equations Systems and Control Letters 58 2009 327 333
    • (2009) Systems and Control Letters , vol.58 , pp. 327-333
    • Zhou, B.1    Duan, G.R.2    Li, Z.Y.3
  • 9
    • 0035400240 scopus 로고    scopus 로고
    • Consimilarity of quaternion matrices and complex matrices
    • L. Huang Consimilarity of quaternion matrices and complex matrices Linear Algebra and its Applications 331 2001 21 30
    • (2001) Linear Algebra and Its Applications , vol.331 , pp. 21-30
    • Huang, L.1
  • 10
    • 33745812086 scopus 로고    scopus 로고
    • An algebraic relation between consimilarity and similarity of complex matrices and its applications
    • T. Jiang, X. Cheng, and L. Chen An algebraic relation between consimilarity and similarity of complex matrices and its applications Journal of Physics A - Mathematical and General 39 2006 9215 9222
    • (2006) Journal of Physics A - Mathematical and General , vol.39 , pp. 9215-9222
    • Jiang, T.1    Cheng, X.2    Chen, L.3
  • 13
    • 0037720091 scopus 로고    scopus 로고
    • On solutions of the matrix equations X - AXB = C and X-AX̄B=C
    • T. Jiang, and M. Wei On solutions of the matrix equations X - AXB = C and X - A X B = C Linear Algebra and its Application 367 2003 225 233
    • (2003) Linear Algebra and Its Application , vol.367 , pp. 225-233
    • Jiang, T.1    Wei, M.2
  • 15
    • 42749083362 scopus 로고    scopus 로고
    • On solutions of the matrix equations v - AVF = BW and V-AV̄F=BW
    • A.G. Wu, Yang-Ming Fu, and Gang-Ren Duan On solutions of the matrix equations V - AVF = BW and V - A V F = BW Mathematical and Computer Modeling 47 11-12 2008 1181 1197
    • (2008) Mathematical and Computer Modeling , vol.47 , Issue.1112 , pp. 1181-1197
    • Wu, A.G.1    Fu, Y.-M.2    Duan, G.-R.3
  • 16
    • 67649199012 scopus 로고    scopus 로고
    • Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation
    • A.G. Wu, G. Feng, J. Hu, and G.R. Duan Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation Applied Mathematics and Computation 214 2009 442 450
    • (2009) Applied Mathematics and Computation , vol.214 , pp. 442-450
    • Wu, A.G.1    Feng, G.2    Hu, J.3    Duan, G.R.4
  • 19
    • 33751185751 scopus 로고    scopus 로고
    • On iterative solutions of general coupled matrix equations
    • F. Ding, and T. Chen On iterative solutions of general coupled matrix equations SIAM Journal on Control and Optimization 44 6 2006 2269 2284
    • (2006) SIAM Journal on Control and Optimization , vol.44 , Issue.6 , pp. 2269-2284
    • Ding, F.1    Chen, T.2
  • 20
    • 10444247504 scopus 로고    scopus 로고
    • Iterative least squares solutions of coupled Sylvester matrix equations
    • F. Ding, and T. Chen Iterative least squares solutions of coupled Sylvester matrix equations Systems and Control Letters 54 2 2005 95 107
    • (2005) Systems and Control Letters , vol.54 , Issue.2 , pp. 95-107
    • Ding, F.1    Chen, T.2
  • 21
    • 68749110971 scopus 로고    scopus 로고
    • Gradient based iterative solutions for general linear matrix equations
    • L. Xie, J. Ding, and F. Ding Gradient based iterative solutions for general linear matrix equations Computers and Mathematics with Applications 58 7 2009 1441 1448
    • (2009) Computers and Mathematics with Applications , vol.58 , Issue.7 , pp. 1441-1448
    • Xie, L.1    Ding, J.2    Ding, F.3
  • 22
    • 22144434326 scopus 로고    scopus 로고
    • Hierarchical gradient-based identification of multivariable discrete-time systems
    • DOI 10.1016/j.automatica.2004.10.010
    • F. Ding, and T. Chen Hierarchical gradient-based identification of multivariable discrete-time systems Automatica 41 2 2005 315 325 (Pubitemid 41536582)
    • (2005) Automatica , vol.41 , Issue.2 , pp. 315-325
    • Ding, F.1    Chen, T.2
  • 23
    • 16244397443 scopus 로고    scopus 로고
    • Hierarchical least squares identification methods for multivariable systems
    • DOI 10.1109/TAC.2005.843856
    • F. Ding, and T. Chen Hierarchical least squares identification methods for multivariable systems IEEE Transactions on Automatic Control 50 3 2005 397 402 (Pubitemid 40448592)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.3 , pp. 397-402
    • Ding, F.1    Chen, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.