메뉴 건너뛰기




Volumn 344, Issue 8, 2007, Pages 1056-1062

The solution to matrix equation AX+XTC=B

Author keywords

General solution; Generalized inverse; Matrix equation; Projection operator

Indexed keywords

LINEAR SYSTEMS; PROBLEM SOLVING;

EID: 35349018439     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2007.05.002     Document Type: Article
Times cited : (67)

References (13)
  • 3
    • 10644221060 scopus 로고    scopus 로고
    • The solution to the matrix equation AV+BW=EVJ+R
    • Duan G.R. The solution to the matrix equation AV+BW=EVJ+R. Appl. Math. Lett. 17 (2004) 1197-1202
    • (2004) Appl. Math. Lett. , vol.17 , pp. 1197-1202
    • Duan, G.R.1
  • 4
    • 0025421966 scopus 로고
    • Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-a survey and some new results
    • Frank P.M. Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-a survey and some new results. Automatica 26 (1990) 459-474
    • (1990) Automatica , vol.26 , pp. 459-474
    • Frank, P.M.1
  • 5
    • 0000875808 scopus 로고
    • Controllability, observability and the solution of AX-XB=C
    • Desouza E., and Bhattacharyya S.P. Controllability, observability and the solution of AX-XB=C. Linear Algebra Appl. 39 (1981) 167-188
    • (1981) Linear Algebra Appl. , vol.39 , pp. 167-188
    • Desouza, E.1    Bhattacharyya, S.P.2
  • 6
    • 0018721357 scopus 로고
    • A Hessenberg-Schur method for the matrix problem AX+XB=C
    • Golub G.H., Nash S., and Van Loan C.F. A Hessenberg-Schur method for the matrix problem AX+XB=C. IEEE Trans. Auto. Control 24 (1979) 909-913
    • (1979) IEEE Trans. Auto. Control , vol.24 , pp. 909-913
    • Golub, G.H.1    Nash, S.2    Van Loan, C.F.3
  • 8
    • 0028439250 scopus 로고
    • Approximate solution of large sparse Lyapunov equations
    • Gudmundsson T., and Laub A. Approximate solution of large sparse Lyapunov equations. IEEE Trans. Auto. Control 39 (1994) 1110-1114
    • (1994) IEEE Trans. Auto. Control , vol.39 , pp. 1110-1114
    • Gudmundsson, T.1    Laub, A.2
  • 9
    • 0030173646 scopus 로고    scopus 로고
    • Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results
    • Kwon W., Moon Y., and Ahn S. Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results. Int. J. Control 64 (1996) 377-389
    • (1996) Int. J. Control , vol.64 , pp. 377-389
    • Kwon, W.1    Moon, Y.2    Ahn, S.3
  • 10
    • 0022756570 scopus 로고
    • Explicit solution and eigenvalue bounds in the Lyapunov matrix equation
    • Mor T., Fukuma N., and Kuwahara M. Explicit solution and eigenvalue bounds in the Lyapunov matrix equation. IEEE Trans. Auto. Control 31 (1986) 656-658
    • (1986) IEEE Trans. Auto. Control , vol.31 , pp. 656-658
    • Mor, T.1    Fukuma, N.2    Kuwahara, M.3
  • 12
    • 31244437503 scopus 로고    scopus 로고
    • The Sylvester equation and approximate balanced reduction
    • Sorensen D.C., and Antoulas A.C. The Sylvester equation and approximate balanced reduction. Linear Algebra Appl. (2002) 671-700
    • (2002) Linear Algebra Appl. , pp. 671-700
    • Sorensen, D.C.1    Antoulas, A.C.2
  • 13
    • 34250274439 scopus 로고
    • Some matrix equations over a finite field
    • Hodeges J.H. Some matrix equations over a finite field. Ann. Mat. Pura Appl. 44 1 (1957) 245-250
    • (1957) Ann. Mat. Pura Appl. , vol.44 , Issue.1 , pp. 245-250
    • Hodeges, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.