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Volumn 12, Issue 9, 2005, Pages 923-940

Numerical solution of parameter-dependent linear systems

Author keywords

Complex symmetric matrices; Inexact methods; Iterative methods; Linear systems; Multiple right hand sides; Structural dynamics

Indexed keywords


EID: 27844482948     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.442     Document Type: Article
Times cited : (17)

References (28)
  • 1
    • 0037366278 scopus 로고    scopus 로고
    • Vibrational analysis of ships with coupled finite and boundary elements
    • Cabos C, Ihlenburg F. Vibrational analysis of ships with coupled finite and boundary elements. Journal of Computational Acoustics 2003; 11:91-114.
    • (2003) Journal of Computational Acoustics , vol.11 , pp. 91-114
    • Cabos, C.1    Ihlenburg, F.2
  • 2
    • 0033075543 scopus 로고    scopus 로고
    • Finite element solution of electromagnetic problems over a wide frequency range via the Padé approximation
    • Kuzuoglu M, Mittra R. Finite element solution of electromagnetic problems over a wide frequency range via the Padé approximation. Computer Methods in Applied Mechanics and Engineering 1999; 169:263-277.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.169 , pp. 263-277
    • Kuzuoglu, M.1    Mittra, R.2
  • 5
    • 0035359418 scopus 로고    scopus 로고
    • The quadratic eigenvalue problem
    • Tisseur F, Meerbergen K. The quadratic eigenvalue problem. SIAM Review 2001; 43:235-286.
    • (2001) SIAM Review , vol.43 , pp. 235-286
    • Tisseur, F.1    Meerbergen, K.2
  • 7
    • 0001361608 scopus 로고    scopus 로고
    • Linear systems with a quadratic parameter and application to structural dynamics
    • IMACS Series Computational and Applied Mathematics
    • Simoncini V. Linear systems with a quadratic parameter and application to structural dynamics. Iterative Methods in Scientific Computation II, IMACS Series Computational and Applied Mathematics, vol. 5. 1999; 451-461.
    • (1999) Iterative Methods in Scientific Computation II , vol.5 , pp. 451-461
    • Simoncini, V.1
  • 8
    • 0033293884 scopus 로고    scopus 로고
    • Galerkin projection methods for solving multiple linear systems
    • Chan TF, Ng MK. Galerkin projection methods for solving multiple linear systems. SIAM Journal on Scientific Computing 1999; 21:836-850.
    • (1999) SIAM Journal on Scientific Computing , vol.21 , pp. 836-850
    • Chan, T.F.1    Ng, M.K.2
  • 9
    • 0038961569 scopus 로고
    • Iterative methods for complex symmetric systems with multiple right-hand sides
    • Center for Supercomputing Research and Development, December
    • Simoncini V, Gallopoulos E. Iterative methods for complex symmetric systems with multiple right-hand sides. Technical Report 1322, Center for Supercomputing Research and Development, December 1993 (Available at http://www.dm.unibo.it/simoncin).
    • (1993) Technical Report , vol.1322
    • Simoncini, V.1    Gallopoulos, E.2
  • 10
    • 0001266838 scopus 로고    scopus 로고
    • A block QMR method for computing multiple simultaneous solutions to complex symmetric systems
    • Boyse WE, Seidl AA. A block QMR method for computing multiple simultaneous solutions to complex symmetric systems. SIAM Journal on Scientific Computing 1996; 17:263-274.
    • (1996) SIAM Journal on Scientific Computing , vol.17 , pp. 263-274
    • Boyse, W.E.1    Seidl, A.A.2
  • 11
    • 0009598276 scopus 로고    scopus 로고
    • A block-QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
    • Freund R, Malhotra M. A block-QMR algorithm for non-Hermitian linear systems with multiple right-hand sides. Linear Algebra and Applications 1997; 254:119-157.
    • (1997) Linear Algebra and Applications , vol.254 , pp. 119-157
    • Freund, R.1    Malhotra, M.2
  • 13
    • 0000844938 scopus 로고    scopus 로고
    • On the numerical solution of AX - XB = C
    • Simoncini V. On the numerical solution of AX - XB = C. BIT 1996; 36:814-830.
    • (1996) BIT , vol.36 , pp. 814-830
    • Simoncini, V.1
  • 14
    • 13844273168 scopus 로고    scopus 로고
    • Model reduction methods based on Krylov subspaces
    • Freund RW. Model reduction methods based on Krylov subspaces. Acta Numerica 2003; 12:267-319.
    • (2003) Acta Numerica , vol.12 , pp. 267-319
    • Freund, R.W.1
  • 16
    • 0002298574 scopus 로고
    • Use of indefinite pencils for computing damped natural modes
    • Parlett BN, Chen HC. Use of indefinite pencils for computing damped natural modes. Linear Algebra and Applications 1990; 140:53-88.
    • (1990) Linear Algebra and Applications , vol.140 , pp. 53-88
    • Parlett, B.N.1    Chen, H.C.2
  • 17
    • 38249011246 scopus 로고
    • Krylov subspace methods for the Sylvester equation
    • Hu DY, Reichel L. Krylov subspace methods for the Sylvester equation. Linear Algebra and Applications 1992; 174:283-314.
    • (1992) Linear Algebra and Applications , vol.174 , pp. 283-314
    • Hu, D.Y.1    Reichel, L.2
  • 20
    • 27844551152 scopus 로고    scopus 로고
    • Rutherford Appleton Laboratory, U.K.
    • Numerical Analysis Group. HSL 2002. A Catalogue of Subroutines, Rutherford Appleton Laboratory, U.K., 2002.
    • (2002) HSL 2002. A Catalogue of Subroutines
  • 21
    • 0003554146 scopus 로고    scopus 로고
    • Natick, MA 01760, January
    • The MathWorks, Inc. MATLAB User's Guide. Natick, MA 01760, January 1998.
    • (1998) MATLAB User's Guide
  • 22
    • 27844559557 scopus 로고    scopus 로고
    • ICT: A dual threshold incomplete LDLt factorization
    • LLNL UCRL
    • Brown PN, Chow E, Saad Y. ICT: a dual threshold incomplete LDLt factorization. Technical Report, LLNL UCRL, 1998.
    • (1998) Technical Report
    • Brown, P.N.1    Chow, E.2    Saad, Y.3
  • 23
    • 27844477643 scopus 로고    scopus 로고
    • Analytical and numerical techniques in frequency domain response computation
    • Luongo A (ed.). Research Signpost
    • Perotti F, Simoncini V. Analytical and numerical techniques in frequency domain response computation. In Recent Research Developments in Structural Dynamics, Luongo A (ed.). Research Signpost, 2003; 33-54.
    • (2003) Recent Research Developments in Structural Dynamics , pp. 33-54
    • Perotti, F.1    Simoncini, V.2
  • 25
    • 0036229390 scopus 로고    scopus 로고
    • A symmetric band Lanczos process based on coupled recurrences and some applications
    • Bai Z, Freund RW. A symmetric band Lanczos process based on coupled recurrences and some applications. SIAM Journal on Scientific Computing 2001; 23:542-562.
    • (2001) SIAM Journal on Scientific Computing , vol.23 , pp. 542-562
    • Bai, Z.1    Freund, R.W.2
  • 26
    • 1542498668 scopus 로고    scopus 로고
    • Jacobi Davidson type methods for generalized eigenproblems and polynomial eigenproblems
    • Sleijpen GLG, Booten GL, Fokkema DR, van der Vorst HA. Jacobi Davidson type methods for generalized eigenproblems and polynomial eigenproblems. BIT 1996; 36:595-633.
    • (1996) BIT , vol.36 , pp. 595-633
    • Sleijpen, G.L.G.1    Booten, G.L.2    Fokkema, D.R.3    Van Der Vorst, H.A.4
  • 27
    • 16244399376 scopus 로고    scopus 로고
    • SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem
    • Department of Mathematics, University of California at Davis
    • Bai Z, Su Y. SOAR: a second-order Arnoldi method for the solution of the quadratic eigenvalue problem. Technical Report, Department of Mathematics, University of California at Davis, 2003.
    • (2003) Technical Report
    • Bai, Z.1    Su, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.