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Volumn 56, Issue 12, 2008, Pages 3246-3260

An iterative algorithm for solving a pair of matrix equations A Y B = E, C Y D = F over generalized centro-symmetric matrices

Author keywords

Generalized centro symmetric matrix; Iterative method; Least Frobenius norm generalized centro symmetric solution; Matrix equations; Symmetric orthogonal matrix

Indexed keywords

INFORMATION THEORY; ITERATIVE METHODS; NUMERICAL ANALYSIS; YTTRIUM ALLOYS;

EID: 55849110814     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.07.031     Document Type: Article
Times cited : (86)

References (31)
  • 3
    • 34250837430 scopus 로고    scopus 로고
    • An efficient algorithm for the generalized centro-symmetric solution of matrix equation A X B = C
    • Liang M.L., You C.H., and Dai L.F. An efficient algorithm for the generalized centro-symmetric solution of matrix equation A X B = C. Numer. Algor. 4 (2007) 173-184
    • (2007) Numer. Algor. , vol.4 , pp. 173-184
    • Liang, M.L.1    You, C.H.2    Dai, L.F.3
  • 5
    • 38049084653 scopus 로고
    • Symmetric solutions of linear matrix equations by matrix decompositions
    • Chu K.E. Symmetric solutions of linear matrix equations by matrix decompositions. Linear Algebra Appl. 119 (1989) 35-50
    • (1989) Linear Algebra Appl. , vol.119 , pp. 35-50
    • Chu, K.E.1
  • 8
    • 0042096811 scopus 로고
    • On the symmetric solutions of linear matrix equations
    • Dai H. On the symmetric solutions of linear matrix equations. Linear Algebra Appl. 131 (1990) 1-7
    • (1990) Linear Algebra Appl. , vol.131 , pp. 1-7
    • Dai, H.1
  • 9
    • 33747873198 scopus 로고    scopus 로고
    • An iterative method for the least squares solution of matrix equation A X B = C
    • Hou J.J., Peng Z.Y., and Zhang X.L. An iterative method for the least squares solution of matrix equation A X B = C. Numer. Algor. 42 (2006) 181-192
    • (2006) Numer. Algor. , vol.42 , pp. 181-192
    • Hou, J.J.1    Peng, Z.Y.2    Zhang, X.L.3
  • 10
    • 34248570461 scopus 로고    scopus 로고
    • Positive solutions to the equations A X = C and X B = D for Hilbert space operators
    • Dajić A., and Koliha J.J. Positive solutions to the equations A X = C and X B = D for Hilbert space operators. J. Math. Anal. Appl. 333 (2007) 567-576
    • (2007) J. Math. Anal. Appl. , vol.333 , pp. 567-576
    • Dajić, A.1    Koliha, J.J.2
  • 12
    • 33745942332 scopus 로고    scopus 로고
    • The reflexive solutions of the matrix equations A X B = C
    • Cvetković-Iliíc D. The reflexive solutions of the matrix equations A X B = C. Comput. Math. Appl. 51 (2006) 879-902
    • (2006) Comput. Math. Appl. , vol.51 , pp. 879-902
    • Cvetković-Iliíc, D.1
  • 14
    • 0041784062 scopus 로고    scopus 로고
    • On solutions of matrix equation A X B + C Y D = F
    • Xu G., Wei M., and Zheng D. On solutions of matrix equation A X B + C Y D = F. Linear Algebra Appl. 279 (1998) 93-109
    • (1998) Linear Algebra Appl. , vol.279 , pp. 93-109
    • Xu, G.1    Wei, M.2    Zheng, D.3
  • 15
    • 2342617534 scopus 로고    scopus 로고
    • A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
    • Wang Q.W. A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity. Linear Algebra Appl. 384 (2004) 43-54
    • (2004) Linear Algebra Appl. , vol.384 , pp. 43-54
    • Wang, Q.W.1
  • 16
    • 17444403238 scopus 로고    scopus 로고
    • A system of four matrix equations over von Neumann regular rings and Its applications
    • Wang Q.W. A system of four matrix equations over von Neumann regular rings and Its applications. Acta Math. Sin. Engl. Ser. 21 (2005) 323-334
    • (2005) Acta Math. Sin. Engl. Ser. , vol.21 , pp. 323-334
    • Wang, Q.W.1
  • 17
    • 9544220667 scopus 로고    scopus 로고
    • An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation A X B = C
    • Peng Y.X., Hu X.Y., and Zhang L. An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation A X B = C. Appl. Math. Comput. 160 (2005) 763-777
    • (2005) Appl. Math. Comput. , vol.160 , pp. 763-777
    • Peng, Y.X.1    Hu, X.Y.2    Zhang, L.3
  • 18
    • 37249058262 scopus 로고    scopus 로고
    • An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation A X B = C
    • Huang G.X., Yin F., and Guo K. An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation A X B = C. J. Comput. Appl. Math. 212 (2008) 231-244
    • (2008) J. Comput. Appl. Math. , vol.212 , pp. 231-244
    • Huang, G.X.1    Yin, F.2    Guo, K.3
  • 19
    • 9544220667 scopus 로고    scopus 로고
    • An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation A X B = C
    • Peng Y.X., Hu X.Y., and Zhang L. An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation A X B = C. Appl. Math. Comput. 160 (2005) 763-777
    • (2005) Appl. Math. Comput. , vol.160 , pp. 763-777
    • Peng, Y.X.1    Hu, X.Y.2    Zhang, L.3
  • 20
    • 38849114998 scopus 로고    scopus 로고
    • Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations
    • Li Y.T., and Wu W.J. Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations. Comput. Math. Appl. 55 (2008) 1142-1147
    • (2008) Comput. Math. Appl. , vol.55 , pp. 1142-1147
    • Li, Y.T.1    Wu, W.J.2
  • 22
    • 34247229524 scopus 로고    scopus 로고
    • On solutions of the matrix equations X - A X B = C and X - A over(X, -) B = C
    • Jiang T., and Wei M. On solutions of the matrix equations X - A X B = C and X - A over(X, -) B = C. Linear Algebra Appl. 367 (2003) 429-436
    • (2003) Linear Algebra Appl. , vol.367 , pp. 429-436
    • Jiang, T.1    Wei, M.2
  • 24
    • 26244448321 scopus 로고    scopus 로고
    • Gradient based iterative algorithms for solving a class of matrix equations
    • Ding F., and Chen T. Gradient based iterative algorithms for solving a class of matrix equations. IEEE Trans. Automat. Control 50 (2005) 1216-1221
    • (2005) IEEE Trans. Automat. Control , vol.50 , pp. 1216-1221
    • Ding, F.1    Chen, T.2
  • 25
    • 38949156204 scopus 로고    scopus 로고
    • Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
    • Ding F., Liu P.X., and Ding J. Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle. Appl. Math. Comput. 197 (2008) 41-50
    • (2008) Appl. Math. Comput. , vol.197 , pp. 41-50
    • Ding, F.1    Liu, P.X.2    Ding, J.3
  • 26
    • 22144434326 scopus 로고    scopus 로고
    • Hierarchical gradient-based identification of multivariable discrete-time systems
    • Ding F., and Chen T. Hierarchical gradient-based identification of multivariable discrete-time systems. Automatica 41 (2005) 315-325
    • (2005) Automatica , vol.41 , pp. 315-325
    • Ding, F.1    Chen, T.2
  • 27
    • 10444247504 scopus 로고    scopus 로고
    • Iterative least squares solutions of coupled Sylvester matrix equations
    • Ding F., and Chen T. Iterative least squares solutions of coupled Sylvester matrix equations. Systems Control Lett. 54 (2005) 95-107
    • (2005) Systems Control Lett. , vol.54 , pp. 95-107
    • Ding, F.1    Chen, T.2
  • 28
    • 33751185751 scopus 로고    scopus 로고
    • On iterative solutions of general coupled matrix equations
    • Ding F., and Chen T. On iterative solutions of general coupled matrix equations. SIAM J. Control Optim. 44 (2006) 2269-2284
    • (2006) SIAM J. Control Optim. , vol.44 , pp. 2269-2284
    • Ding, F.1    Chen, T.2
  • 29
    • 16244397443 scopus 로고    scopus 로고
    • Hierarchical least squares identification methods for multivariable systems
    • Ding F., and Chen T. Hierarchical least squares identification methods for multivariable systems. IEEE Trans. Automat. Control 50 (2005) 397-402
    • (2005) IEEE Trans. Automat. Control , vol.50 , pp. 397-402
    • Ding, F.1    Chen, T.2
  • 30
    • 55849101773 scopus 로고    scopus 로고
    • M. Dehghan, M. Hajarian, The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations, Rocky Mountain J. Math. (in press)
    • M. Dehghan, M. Hajarian, The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations, Rocky Mountain J. Math. (in press)
  • 31
    • 48149092968 scopus 로고    scopus 로고
    • An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
    • Dehghan M., and Hajarian M. An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation. Appl. Math. Comput. 202 (2008) 571-588
    • (2008) Appl. Math. Comput. , vol.202 , pp. 571-588
    • Dehghan, M.1    Hajarian, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.