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Volumn 18, Issue 2, 1992, Pages 223-231

Solution of the Sylvester Matrix Equation AXBT + CXDT = E

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SOFTWARE; CONTROL THEORY; ITERATIVE METHODS; LINEAR ALGEBRA; RELIABILITY; ROBUSTNESS (CONTROL SYSTEMS);

EID: 0026874674     PISSN: 00983500     EISSN: 15577295     Source Type: Journal    
DOI: 10.1145/146847.146929     Document Type: Article
Times cited : (163)

References (16)
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    • (1984) Proc. IEEE , vol.72 , Issue.12 , pp. 1746-1754
    • ARNOLD, W.F.1    LAUB, A.2
  • 3
    • 0021515474 scopus 로고
    • A LINPACK-style condition estimator for the equation
    • (Oct.)
    • BYERS, R. A LINPACK-style condition estimator for the equation AX - XBT = C. IEEE Trans. Aut. Contr. AC-29, 10 (Oct. 1984), 926-928.
    • (1984) AX - XBT = C. IEEE Trans. Aut. Contr. AC-29 , vol.10 , pp. 926-928
    • BYERS, R.1
  • 4
    • 38149012697 scopus 로고
    • The solution of the matrix equation AXB - CXD = E and (YA - DZ, YC - BZ) = (E, F)
    • (Aug.)
    • CHU, S.-W. E. The solution of the matrix equation AXB - CXD = E and (YA - DZ, YC - BZ) = (E, F). Lin. Alg. Appl. 93 (Aug. 1987), 93-105.
    • (1987) Lin. Alg. Appl. , vol.93 , pp. 93-105
    • CHU, S.W.E.1
  • 8
    • 0004236492 scopus 로고
    • Johns Hopkins Univ. Press, Baltimore, Second Edition
    • GOLUB, G. H., AND VAN LOAN, C. F. Matrix Computations. Johns Hopkins Univ. Press, Baltimore, Second Edition, 1989.
    • (1989) Matrix Computations.
    • GOLUB, G.H.1    VAN LOAN, C.F.2
  • 9
    • 0023966821 scopus 로고
    • The sensitivity of the stable Lyapunov equation
    • (Mar.)
    • HEWER, G., AND KENNEY, C. The sensitivity of the stable Lyapunov equation. SIAM J. Control. Optim. 26, 2 (Mar. 1988), 321-344.
    • (1988) SIAM J. Control. Optim. , vol.26 , Issue.2 , pp. 321-344
    • HEWER, G.1    KENNEY, C.2
  • 10
    • 0024143903 scopus 로고
    • Algorithm 674: FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
    • (Dec.)
    • HIGHAM, N. Algorithm 674: FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation. ACM Trans. Math. Softw. 14, 4 (Dec. 1988), 381-396.
    • (1988) ACM Trans. Math. Softw. , vol.14 , Issue.4 , pp. 381-396
    • HIGHAM, N.1
  • 11
    • 0000623240 scopus 로고
    • Large growth factors in Gaussian elimination with pivoting
    • (Apr.)
    • HIGHAM, N. J., AND HIGHAM, D. J. Large growth factors in Gaussian elimination with pivoting. SIAM J. Matrix Anal. Appl. 10, 2 (Apr. 1989), 155-164.
    • (1989) SIAM J. Matrix Anal. Appl. , vol.10 , Issue.2 , pp. 155-164
    • HIGHAM, N.J.1    HIGHAM, D.J.2
  • 12
    • 0024700168 scopus 로고
    • Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
    • (July)
    • KÅGSTRÖM, B., AND WESTIN, L. Generalized Schur methods with condition estimators for solving the generalized Sylvester equation. IEEE Trans. Aut. Control. AC-34, 7 (July 1989), 745-751.
    • (1989) IEEE Trans. Aut. Control. AC-34 , vol.7 , pp. 745-751
    • KÅGSTRÖM, B.1    WESTIN, L.2
  • 14
    • 0000356673 scopus 로고
    • An algorithm for generalized matrix eigenvalue problems
    • (Apr.)
    • MOLER, C. B., AND STEWART, G. W. An algorithm for generalized matrix eigenvalue problems. SIAM J. Numer. Anal. 10, 2 (Apr. 1973), 241-256.
    • (1973) SIAM J. Numer. Anal. , vol.10 , Issue.2 , pp. 241-256
    • MOLER, C.B.1    STEWART, G.W.2
  • 15
    • 0039861901 scopus 로고
    • Sur la solution du cas le plus général des équations linéaires en quantités binaires, c'est-à-dire en quaternions ou en matrices du second ordres. Sur la résolution générale de l'équation linéaire en matrices d'un ordre quelconque. Sur l'équation linéaire trinôme en matrices d'un ordre quelconque
    • 117-118, 409-412, 432-436
    • SYLVESTER, J. J. Sur la solution du cas le plus général des équations linéaires en quantités binaires, c'est-à-dire en quaternions ou en matrices du second ordres. Sur la résolution générale de l'équation linéaire en matrices d'un ordre quelconque. Sur l'équation linéaire trinôme en matrices d'un ordre quelconque. Comptes Rendus Acad. Sci. 99 (1884), 117-118, 409-412, 432-436, 527-529.
    • (1884) Comptes Rendus Acad. Sci. , vol.99 , pp. 527-529
    • SYLVESTER, J.J.1
  • 16
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    • Average-case stability of Gaussian elimination
    • (July)
    • TREFETHEN, L. N., AND SCHREIBER, R. S. Average-case stability of Gaussian elimination. SIAM J. Matrix Anal. Appl. 11, 3 (July 1990), 335-360.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , Issue.3 , pp. 335-360
    • TREFETHEN, L.N.1    SCHREIBER, R.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.