메뉴 건너뛰기




Volumn 36, Issue 2, 2009, Pages

Algorithm 894: On a block Schur - Parlett algorithm for φ-functions based on the sep-inverse estimate

Author keywords

functions; Block Schur Parlett algorithm; Exponential integrators; Matrix functions

Indexed keywords

BLOCK SCHUR - PARLETT ALGORITHM; EXPONENTIAL INTEGRATORS; FORTRAN 95; INVERSE FUNCTIONS; MATRIX; MATRIX FUNCTIONS; NUMERICAL EXPERIMENTS; SCALING AND SQUARING METHOD;

EID: 65849282797     PISSN: 00983500     EISSN: 15577295     Source Type: Journal    
DOI: 10.1145/1499096.1499101     Document Type: Article
Times cited : (3)

References (26)
  • 2
    • 43949169431 scopus 로고
    • On swapping diagonal blocks in real schur form
    • BAI, Z. AND DEMMEL, J. W. 1993. On swapping diagonal blocks in real Schur form. Lin. Alg. Appl. 186, 73-95.
    • (1993) Lin. Alg. Appl. , vol.186 , pp. 73-95
    • Bai, Z.1    Demmel, J.W.2
  • 3
    • 84976855597 scopus 로고
    • Algorithm 432: Solution of the matrix equation AX + X B = C
    • BARTELS, R. H. AND STEWART, G. W. 1972. Algorithm 432: Solution of the matrix equation AX + X B = C. Commun. ACM 15, 9, 820-826.
    • (1972) Commun. ACM , vol.15 , Issue.9 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 6
    • 1842865578 scopus 로고    scopus 로고
    • A Schur-Parlett algorithm for computing matrix functions
    • DAVIES, P. I. AND HIGHAM, N. J. 2003. A Schur-Parlett algorithm for computing matrix functions. SIAM J. Matrix Anal. Appl. 25, 2, 464-485.
    • (2003) SIAM J. Matrix Anal. Appl. , vol.25 , Issue.2 , pp. 464-485
    • Davies, P.I.1    Higham, N.J.2
  • 7
    • 0012061789 scopus 로고
    • Computing eigenvalues of complex matrices by determinant evaluation and by methods of Danilewski and Wielandt
    • FRANK, W. L. 1958. Computing eigenvalues of complex matrices by determinant evaluation and by methods of Danilewski and Wielandt. J. Soc. Indust. Appl. Math. 6, 4, 378-392.
    • (1958) J. Soc. Indust. Appl. Math. , vol.6 , Issue.4 , pp. 378-392
    • Frank, W.L.1
  • 8
    • 0024143903 scopus 로고
    • FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
    • HIGHAM, N. J. 1988. FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation. ACM Trans. Math. Softw. 14, 4, 381-396.
    • (1988) ACM Trans. Math. Softw. , vol.14 , Issue.4 , pp. 381-396
    • Higham, N.J.1
  • 10
    • 27144549311 scopus 로고    scopus 로고
    • The scaling and squaring method for the matrix exponential revisited
    • HIGHAM, N. J. 2005. The scaling and squaring method for the matrix exponential revisited. SIAM J. Matrix Anal. Appl. 26, 4, 1179-1193.
    • (2005) SIAM J. Matrix Anal. Appl. , vol.26 , Issue.4 , pp. 1179-1193
    • Higham, N.J.1
  • 11
    • 0034144755 scopus 로고    scopus 로고
    • A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
    • DOI 10.1137/S0895479899356080
    • HIGHAM, N. J. AND TISSEUR, F. 2000. A block algorithm for matrix 1-norm estimation with an application to 1-norm pseudospectra. SIAM J. Matrix Anal. Appl. 21, 4, 1185-1201. (Pubitemid 33217064)
    • (2000) SIAM Journal on Matrix Analysis and Applications , vol.21 , Issue.4 , pp. 1185-1201
    • Higham, N.J.1    Tisseur, F.2
  • 12
    • 65849347369 scopus 로고    scopus 로고
    • INTEL CORPORATION http://developer.intel.com/software/products/
    • INTEL CORPORATION. 2008. Intel Fortran compiler. http://developer.intel. com/software/products/.
    • (2008) Intel Fortran Compiler
  • 13
    • 19044380439 scopus 로고    scopus 로고
    • Recursive blocked algorithms for solving triangular systems - Part I: one-sided and coupled Sylvester-type matrix equations
    • DOI 10.1145/592843.592845
    • JONSSON, I. AND KåGSTRöM, B. 2002. Recursive blocked algorithms for solving triangular systems. I. One-sided and coupled Sylvester-type matrix equations. ACM Trans. Mathe. Softw. 28, (4), 392-415. (Pubitemid 135688491)
    • (2002) ACM Transactions on Mathematical Software , vol.28 , Issue.4 , pp. 392-415
    • Jonsson, I.1    Kagstrom, B.2
  • 14
    • 0012031265 scopus 로고
    • Distributed and shared memory block algorithms for the triangular Sylvester equations with sep-1 estimators
    • KåAGSTRöM, B. AND POROMAA, P. 1992. Distributed and shared memory block algorithms for the triangular Sylvester equations with sep-1 estimators. SIAM J. Matrix Anal. Appl. 13, 1, 90-101.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , Issue.1 , pp. 90-101
    • Kåagström, B.1    Poromaa, P.2
  • 15
    • 0024700168 scopus 로고
    • Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
    • KåGSTRöM, B. AND WESTIN, L. 1989. Generalized Schur methods with condition estimators for solving the generalized Sylvester equation. IEEE Trans. Autom. Cont. 34, 745-751.
    • (1989) IEEE Trans. Autom. Cont. , vol.34 , pp. 745-751
    • Kågström, B.1    Westin, L.2
  • 16
    • 22544474620 scopus 로고    scopus 로고
    • Fourth-order time stepping for stiff PDEs
    • KASSAM, A. K. AND TREFETHEN, L. N. 2005. Fourth-order time stepping for stiff PDEs. SIAM J. Sci. Comput. 26, 4, 1214-1233.
    • (2005) SIAM J. Sci. Comput. , vol.26 , Issue.4 , pp. 1214-1233
    • Kassam, A.K.1    Trefethen, L.N.2
  • 17
    • 34248588219 scopus 로고    scopus 로고
    • An error analysis of the modified scaling and squaring method
    • DOI 10.1016/j.camwa.2006.04.032, PII S0898122107000892
    • KOIKARI, S. 2007. An error analysis of the modified scaling and squaring method. Comput. Math. Appl. 53, 1293-1305. (Pubitemid 46755552)
    • (2007) Computers and Mathematics with Applications , vol.53 , Issue.8 , pp. 1293-1305
    • Koikari, S.1
  • 18
    • 33745303106 scopus 로고    scopus 로고
    • A review of exponential integrators for first order semilinear problem
    • The Norwegian University of Science and Technology. Trondhein, Norway
    • MINCHEV, B. AND WRIGHT, W. M. 2005. A review of exponential integrators for first order semilinear problem. Tech. rep. No. 2/2005. The Norwegian University of Science and Technology. Trondhein, Norway.
    • (2005) Tech. Rep. , Issue.2
    • Minchev, B.1    Wright, W.M.2
  • 19
    • 0037354371 scopus 로고    scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix, twenty five years later
    • MOLER, C. B. AND VAN LOAN, C. F. 2003. Nineteen dubious ways to compute the exponential of a matrix, twenty five years later. SIAM Rev. 45, 1, 3-49.
    • (2003) SIAM Rev. , vol.45 , Issue.1 , pp. 3-49
    • Moler, C.B.1    Van Loan, C.F.2
  • 20
    • 0000312029 scopus 로고
    • A recurrence among the elements of functions of triangular matrices
    • PARLETT, B. N. 1976. A recurrence among the elements of functions of triangular matrices. Lin. Alg. Appl. 14, 117-121.
    • (1976) Lin. Alg. Appl. , vol.14 , pp. 117-121
    • Parlett, B.N.1
  • 21
    • 0032010619 scopus 로고    scopus 로고
    • Expokit: A Software Package for Computing Matrix Exponentials
    • SIDJE, R.B. 1998. EXPOKIT: A software package for computing matrix exponentials. ACM Trans. Math. Softw. 24, 1, 130-156. (Pubitemid 128447702)
    • (1998) ACM Transactions on Mathematical Software , vol.24 , Issue.1 , pp. 130-156
    • Sidje, R.B.1
  • 22
    • 84868944189 scopus 로고    scopus 로고
    • Sun microsystems
    • SUN MICROSYSTEMS. 2008. Sun Fortran 95 compiler. http://developers.sun. com/sunstudio/.
    • (2008) Sun Fortran 95 Compiler
  • 24
    • 84964345631 scopus 로고
    • On the convergence of the multidirectional search algorithm
    • TORCZON, V. 1991. On the convergence of the multidirectional search algorithm. SIAM J. Optimiz. 1, 1, 123-145.
    • (1991) SIAM J. Optimiz. , vol.1 , Issue.1 , pp. 123-145
    • Torczon, V.1
  • 26
    • 0001332750 scopus 로고
    • Numerical computation of the matrix exponential with accuracy estimate
    • WARD, R. C. 1977. Numerical computation of the matrix exponential with accuracy estimate. SIAM J. Numer. Anal. 14, 4, 600-610.
    • (1977) SIAM J. Numer. Anal. , vol.14 , Issue.4 , pp. 600-610
    • Ward, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.