메뉴 건너뛰기




Volumn 120, Issue 4, 2012, Pages 639-670

Accurate solutions of M-matrix Sylvester equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84858280327     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-011-0420-1     Document Type: Article
Times cited : (18)

References (31)
  • 1
    • 0036003388 scopus 로고    scopus 로고
    • Accurate computation of the smallest eigenvalue of a diagonally dominant M-matrix
    • Alfa A. S., Xue J., Ye Q.: Accurate computation of the smallest eigenvalue of a diagonally dominant M-matrix. Math. Comput. 71, 217-236 (2002).
    • (2002) Math. Comput. , vol.71 , pp. 217-236
    • Alfa, A.S.1    Xue, J.2    Ye, Q.3
  • 2
    • 0036002579 scopus 로고    scopus 로고
    • Entrywise perturbation theory for diagonally dominant M-matrices with applications
    • Alfa A. S., Xue J., Ye Q.: Entrywise perturbation theory for diagonally dominant M-matrices with applications. Numer. Math. 90(3), 401-414 (2002).
    • (2002) Numer. Math. , vol.90 , Issue.3 , pp. 401-414
    • Alfa, A.S.1    Xue, J.2    Ye, Q.3
  • 3
    • 84858278797 scopus 로고    scopus 로고
    • American National Standards Institute and Institute of Electrical and Electronic Engineers: IEEE standard for binary floating-point arithmetic. ANSI/IEEE Standard, Std 754-1985, New York (1985)
    • American National Standards Institute and Institute of Electrical and Electronic Engineers: IEEE standard for binary floating-point arithmetic. ANSI/IEEE Standard, Std 754-1985, New York (1985).
  • 4
    • 84858291090 scopus 로고    scopus 로고
    • American National Standards Institute and Institute of Electrical and Electronic Engineers: IEEE standard for radix independent floating-point arithmetic. ANSI/IEEE Standard, Std 854-1987, New York (1987)
    • American National Standards Institute and Institute of Electrical and Electronic Engineers: IEEE standard for radix independent floating-point arithmetic. ANSI/IEEE Standard, Std 854-1987, New York (1987).
  • 5
    • 84976855597 scopus 로고
    • Algorithm 432: The solution of the matrix equation AX-BX = C
    • Bartels R. H., Stewart G. W.: Algorithm 432: The solution of the matrix equation AX-BX = C. Commun. ACM 8, 820-826 (1972).
    • (1972) Commun. ACM , vol.8 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 6
    • 70349739586 scopus 로고    scopus 로고
    • On ADI method for Sylvester equations
    • Benner P., Li R.-C., Truhar N.: On ADI method for Sylvester equations. J. Comput. Appl. Math. 233(4), 1035-1045 (2009).
    • (2009) J. Comput. Appl. Math. , vol.233 , Issue.4 , pp. 1035-1045
    • Benner, P.1    Li, R.-C.2    Truhar, N.3
  • 7
    • 0003239419 scopus 로고
    • Nonnegative Matrices in the Mathematical Sciences
    • Philadelphia This SIAM edition is a corrected reproduction of the work first published in 1979 by Academic Press, San Diego, CA
    • Berman, A., Plemmons, R. J.: Nonnegative Matrices in the Mathematical Sciences. SIAM, Philadelphia, 1994. This SIAM edition is a corrected reproduction of the work first published in 1979 by Academic Press, San Diego, CA.
    • (1994) SIAM
    • Berman, A.1    Plemmons, R.J.2
  • 9
    • 21144461298 scopus 로고
    • Mixed, componentwise, and structured condition numbers
    • Gohberg I., Koltracht I.: Mixed, componentwise, and structured condition numbers. SIAM J. Matrix Anal. Appl. 14(3), 688-704 (1993).
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , Issue.3 , pp. 688-704
    • Gohberg, I.1    Koltracht, I.2
  • 10
    • 0026122066 scopus 로고
    • What every computer scientist should know about floating-point arithmetic
    • Goldberg D.: What every computer scientist should know about floating-point arithmetic. ACM Comput. Surv. 23(1), 5-47 (1991).
    • (1991) ACM Comput. Surv. , vol.23 , Issue.1 , pp. 5-47
    • Goldberg, D.1
  • 11
  • 12
    • 0022131573 scopus 로고
    • Regenerative analysis and steady-state distributions for Markov chains
    • Grassmann W. K., Taksar M. J., Heyman D. P.: Regenerative analysis and steady-state distributions for Markov chains. Oper. Res. 33, 1107-1116 (1985).
    • (1985) Oper. Res. , vol.33 , pp. 1107-1116
    • Grassmann, W.K.1    Taksar, M.J.2    Heyman, D.P.3
  • 13
    • 34547893797 scopus 로고    scopus 로고
    • Iterative solution of a nonsymmetric algebraic Riccati equation
    • Guo C., Higham N.: Iterative solution of a nonsymmetric algebraic Riccati equation. SIAM J. Matrix Anal. Appl. 29, 396-412 (2007).
    • (2007) SIAM J. Matrix Anal. Appl. , vol.29 , pp. 396-412
    • Guo, C.1    Higham, N.2
  • 14
    • 0036060733 scopus 로고    scopus 로고
    • Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for M-matrices
    • Guo C.-H.: Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for M-matrices. SIAM J. Matrix Anal. Appl. 23, 225-242 (2001).
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 225-242
    • Guo, C.-H.1
  • 15
    • 0041410017 scopus 로고    scopus 로고
    • On the iterative solution of a class of nonsymmetric algebraic Riccati equations
    • Guo C.-H., Laub A. J.: On the iterative solution of a class of nonsymmetric algebraic Riccati equations. SIAM J. Matrix Anal. Appl. 22, 376-391 (2000).
    • (2000) SIAM J. Matrix Anal. Appl. , vol.22 , pp. 376-391
    • Guo, C.-H.1    Laub, A.J.2
  • 16
    • 33646491411 scopus 로고    scopus 로고
    • A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation
    • Guo X., Lin W., Xu S.: A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation. Numer. Math. 103, 393-412 (2006).
    • (2006) Numer. Math. , vol.103 , pp. 393-412
    • Guo, X.1    Lin, W.2    Xu, S.3
  • 19
    • 21844486150 scopus 로고
    • Existence of algebraic matrix Riccati equations arising in transport theory
    • Juang J.: Existence of algebraic matrix Riccati equations arising in transport theory. Linear Algebra Appl. 230, 89-100 (1995).
    • (1995) Linear Algebra Appl. , vol.230 , pp. 89-100
    • Juang, J.1
  • 20
    • 0032217347 scopus 로고    scopus 로고
    • Nonsymmetric algebraic Riccati equations and Hamiltonian-like matrices
    • Juang J., Lin W.-W.: Nonsymmetric algebraic Riccati equations and Hamiltonian-like matrices. SIAM J. Matrix Anal. Appl. 20(1), 228-243 (1998).
    • (1998) SIAM J. Matrix Anal. Appl. , vol.20 , Issue.1 , pp. 228-243
    • Juang, J.1    Lin, W.-W.2
  • 21
    • 0013137925 scopus 로고
    • Technical Report UCB//CSD-94-851, Computer Science Division, Department of EECS, University of California at Berkeley
    • Li, R.-C.: Solving secular equations stably and efficiently. Technical Report UCB//CSD-94-851, Computer Science Division, Department of EECS, University of California at Berkeley (1993).
    • (1993) Solving secular equations stably and efficiently
    • Li, R.-C.1
  • 23
    • 0000860220 scopus 로고
    • Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
    • Rogers L.: Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains. Ann. Appl. Probab. 4, 390-413 (1994).
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 390-413
    • Rogers, L.1
  • 24
    • 0001052499 scopus 로고
    • Matrix equation XA + BX = C
    • Smith R. A.: Matrix equation XA + BX = C. SIAM J. Appl. Math. 16(1), 198-201 (1968).
    • (1968) SIAM J. Appl. Math. , vol.16 , Issue.1 , pp. 198-201
    • Smith, R.A.1
  • 28
    • 0004024274 scopus 로고
    • Windsor, CA (self-published)
    • Wachspress, E. L.: The ADI Model Problem. Windsor, CA (1995) (self-published) (http://www. netlib. org/na-digest-html/96/v96n36. html).
    • (1995) The ADI Model Problem
    • Wachspress, E.L.1
  • 29
    • 0038975623 scopus 로고    scopus 로고
    • Computing the smallest eigenvalue of an M-matrix
    • Xue J.: Computing the smallest eigenvalue of an M-matrix. SIAM J. Matrix Anal. Appl. 17(4), 748-762 (1996).
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , Issue.4 , pp. 748-762
    • Xue, J.1
  • 30
    • 34249760313 scopus 로고
    • Entrywise relative perturbation theory for nonsingular M-matrices and applications
    • Xue J., Jiang E.: Entrywise relative perturbation theory for nonsingular M-matrices and applications. BIT 35(3), 417-427 (1995).
    • (1995) Bit , vol.35 , Issue.3 , pp. 417-427
    • Xue, J.1    Jiang, E.2
  • 31
    • 84858290081 scopus 로고    scopus 로고
    • Accurate solutions of M-matrix algebraic Riccati equations
    • doi: 10. 1007/s00211-011-0421-0
    • Xue, J., Xu, S., Li, R.-C.: Accurate solutions of M-matrix algebraic Riccati equations. Numer. Math. doi: 10. 1007/s00211-011-0421-0.
    • Numer. Math.
    • Xue, J.1    Xu, S.2    Li, R.-C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.