메뉴 건너뛰기




Volumn 27, Issue 1, 2008, Pages 47-59

Block linear method for large scale Sylvester equations

Author keywords

Block linear systems; Iterative methods; Sylvester equation

Indexed keywords

APPROXIMATION THEORY; LINEAR SYSTEMS; MATRIX ALGEBRA;

EID: 52949108764     PISSN: 22383603     EISSN: 18070302     Source Type: Journal    
DOI: 10.1590/s1807-03022008000100003     Document Type: Article
Times cited : (14)

References (16)
  • 1
    • 84976855597 scopus 로고
    • Algorithm 432, solution of the matrix equation AX - XB = C
    • R.H. Bartels and G.W. Stewart, Algorithm 432, solution of the matrix equation AX - XB = C. Comm. ACM, 15 (1972), 820-826.
    • (1972) Comm. ACM , vol.15 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 2
    • 33846281682 scopus 로고
    • Matrix and other direct methods for the solution of systems of linear difference equations
    • W.G. Bickley and J. McNamee, Matrix and other direct methods for the solution of systems of linear difference equations. Philos. Trans Roy. Soc. London Ser. A., 252 (1960), 69-131.
    • (1960) Philos. Trans Roy. Soc. London Ser. A , vol.252 , pp. 69-131
    • Bickley, W.G.1    McNamee, J.2
  • 3
    • 0036243569 scopus 로고    scopus 로고
    • Block descent methods and hybrid procedures for linear systems
    • C. Brezinski, Block descent methods and hybrid procedures for linear systems. Numerical Algorithms, 29 (2002), 21-32.
    • (2002) Numerical Algorithms , vol.29 , pp. 21-32
    • Brezinski, C.1
  • 4
    • 38149144997 scopus 로고
    • Linear and numerical linear algebra in control theory: Some research problems
    • B. Datta, Linear and numerical linear algebra in control theory: Some research problems. Linear Algebra and its Appl., 198 (1994), 755-790.
    • (1994) Linear Algebra and its Appl , vol.198 , pp. 755-790
    • Datta, B.1
  • 5
    • 0042284094 scopus 로고    scopus 로고
    • Krylov subspace methods for large-scale matrix problems in control
    • B. Datta, Krylov subspace methods for large-scale matrix problems in control. Future Generation Computer Systems, 19(7) (2003), 1253-1263.
    • (2003) Future Generation Computer Systems , vol.19 , Issue.7 , pp. 1253-1263
    • Datta, B.1
  • 7
    • 0000730346 scopus 로고
    • Arnoldi methods for large Sylvester-like observer matrix equation, and an associated algorithm for partial spectrum assigment
    • B. Datta and Y. Saad, Arnoldi methods for large Sylvester-like observer matrix equation, and an associated algorithm for partial spectrum assigment. Linear Algebra and its Appl., 156 (1991), 225-244.
    • (1991) Linear Algebra and its Appl , vol.156 , pp. 225-244
    • Datta, B.1    Saad, Y.2
  • 8
    • 52949092837 scopus 로고
    • Method of undetermined coefficients in linear differential systems and the matrix equation Y A - AY = F
    • A. Dou, Method of undetermined coefficients in linear differential systems and the matrix equation Y A - AY = F. SIAM J. Appl. Math., 14 (1966), 691-696.
    • (1966) SIAM J. Appl. Math , vol.14 , pp. 691-696
    • Dou, A.1
  • 9
    • 52949144301 scopus 로고
    • A Hessemberg-Schur method for the problem AX - XB = C
    • G.H. Golub, S. Nash and C. Van Loan, A Hessemberg-Schur method for the problem AX - XB = C. IEE Trans. Automat. Control, 39 (1979), 167-188.
    • (1979) IEE Trans. Automat. Control , vol.39 , pp. 167-188
    • Golub, G.H.1    Nash, S.2    Van Loan, C.3
  • 10
    • 0036254232 scopus 로고    scopus 로고
    • Block Krylov subspace methods for solving large Sylvester equations
    • A. El Guennouni, K. Jbilou and A.J. Riquet, Block Krylov subspace methods for solving large Sylvester equations. Numerical Algorithms, 29 (2001), 75-96.
    • (2001) Numerical Algorithms , vol.29 , pp. 75-96
    • El Guennouni, A.1    Jbilou, K.2    Riquet, A.J.3
  • 11
    • 38249011246 scopus 로고
    • Krylov-subspace methods for the Sylvester equation
    • D.Y. Hu and L. Reichel, Krylov-subspace methods for the Sylvester equation. Linear Algebra Appl., 172 (1992), 283-313.
    • (1992) Linear Algebra Appl , vol.172 , pp. 283-313
    • Hu, D.Y.1    Reichel, L.2
  • 12
    • 0028377922 scopus 로고
    • Krylov subspaces methods for solving large Lyapunov equations
    • I.M. Jaimoukha and E.M. Kasenally, Krylov subspaces methods for solving large Lyapunov equations. SIAM J. Numerical Anal., 31 (1994), 227-251.
    • (1994) SIAM J. Numerical Anal , vol.31 , pp. 227-251
    • Jaimoukha, I.M.1    Kasenally, E.M.2
  • 13
    • 0012063914 scopus 로고
    • The iterative solution of the matrix equation XA+BX+C = 0
    • D.F. Miller, The iterative solution of the matrix equation XA+BX+C = 0. Linear Algebra Appl., 105 (1988), 131-137.
    • (1988) Linear Algebra Appl , vol.105 , pp. 131-137
    • Miller, D.F.1
  • 16
    • 0012032073 scopus 로고
    • Sur l'equation en matrices px = xq'
    • J.J. Sylvester, Sur l'equation en matrices px = xq'. C.R. Acad. Sci Paris, 99 (1884), 67-71: 115-116.
    • (1884) C.R. Acad. Sci Paris , vol.99
    • Sylvester, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.