메뉴 건너뛰기




Volumn 17, Issue 1, 1996, Pages 1-15

Calculation of pseudospectra by the Arnoldi iteration

Author keywords

Arnoldi; Hydrodynamic stability; Lanczos; Numerical range; Pseudospectra

Indexed keywords


EID: 0001953835     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/0917002     Document Type: Article
Times cited : (68)

References (34)
  • 1
    • 0002807741 scopus 로고
    • The principle of minimized iterations in the solution of the matrix eigenvalue problem
    • W. E. ARNOLDI, The principle of minimized iterations in the solution of the matrix eigenvalue problem, Quart. Appl. Math., 9 (1951), pp. 17-29.
    • (1951) Quart. Appl. Math. , vol.9 , pp. 17-29
    • Arnoldi, W.E.1
  • 2
    • 77950880721 scopus 로고
    • Onset of turbulence in a pipe
    • L. BOBERG AND U. BROSA, Onset of turbulence in a pipe, Z. Naturforschung, 43a (1988), pp. 697-726.
    • (1988) Z. Naturforschung , vol.43 A , pp. 697-726
    • Boberg, L.1    Brosa, U.2
  • 3
    • 0026805338 scopus 로고
    • Three-dimensional optimal perturbations in viscous shear flow
    • K. M. BUTLER AND B. F. FARRELL, Three-dimensional optimal perturbations in viscous shear flow, Phys. Fluids A, 4 (1992), pp. 1637-1650.
    • (1992) Phys. Fluids A , vol.4 , pp. 1637-1650
    • Butler, K.M.1    Farrell, B.F.2
  • 5
    • 5344230920 scopus 로고
    • The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
    • E. R. DAVIDSON, The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices, J. Comput. Phys., 17 (1975), pp. 87-94.
    • (1975) J. Comput. Phys. , vol.17 , pp. 87-94
    • Davidson, E.R.1
  • 7
    • 38249009170 scopus 로고
    • Quasi-kernel polynomials and their use in non-hermitian matrix iterations
    • R. W. FREUND, Quasi-kernel polynomials and their use in non-hermitian matrix iterations, J. Comput. Appl. Math., 43 (1992), pp. 135-158.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 135-158
    • Freund, R.W.1
  • 9
    • 34249954124 scopus 로고
    • Tchebychev acceleration technique for large scale nonsymmetric matrices
    • D. HO, Tchebychev acceleration technique for large scale nonsymmetric matrices, Numer. Math., 56 (1990), pp. 721-734.
    • (1990) Numer. Math. , vol.56 , pp. 721-734
    • Ho, D.1
  • 10
    • 85033028291 scopus 로고    scopus 로고
    • On Krylov subspace approximations to the matrix exponential operator
    • submitted
    • M. HOCHBRUCK AND C. LUBICH, On Krylov subspace approximations to the matrix exponential operator, SIAM J. Numer. Anal., submitted.
    • SIAM J. Numer. Anal.
    • Hochbruck, M.1    Lubich, C.2
  • 11
    • 0000491435 scopus 로고
    • Numerical linear algebra
    • W. KAHAN, Numerical linear algebra, Canad. Math. Bull., 9 (1966), pp. 757-801.
    • (1966) Canad. Math. Bull. , vol.9 , pp. 757-801
    • Kahan, W.1
  • 12
    • 1542464219 scopus 로고    scopus 로고
    • Computation of pseudospectra by continuation
    • to appear
    • S.-H. LUI, Computation of pseudospectra by continuation, SIAM J. Sci. Comput., 17 (1996), to appear.
    • (1996) SIAM J. Sci. Comput. , vol.17
    • Lui, S.-H.1
  • 13
    • 85033001706 scopus 로고    scopus 로고
    • On hybrid iterative methods for nonsymmetric systems of linear equations
    • to appear
    • T. A. MANTEUFFEL AND G. STARKE, On hybrid iterative methods for nonsymmetric systems of linear equations, Numer. Math., to appear.
    • Numer. Math.
    • Manteuffel, T.A.1    Starke, G.2
  • 15
    • 11744299855 scopus 로고
    • Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices
    • K. MEERBERGEN, A. SPENCE, AND D. ROOSE, Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices, BIT, 34 (1994), pp. 409-423.
    • (1994) BIT , vol.34 , pp. 409-423
    • Meerbergen, K.1    Spence, A.2    Roose, D.3
  • 19
    • 0027392527 scopus 로고
    • Energy growth in viscous channel flows
    • S. C. REDDY AND D. S. HENNINGSON, Energy growth in viscous channel flows, J. Fluid Mech., 252 (1993), pp. 209-238.
    • (1993) J. Fluid Mech. , vol.252 , pp. 209-238
    • Reddy, S.C.1    Henningson, D.S.2
  • 21
    • 0028695631 scopus 로고
    • Pseudospectra of the convection-diffusion operator
    • S. C. REDDY AND L. N. TREFETHEN, Pseudospectra of the convection-diffusion operator, SIAM J. Appl. Math., 54 (1994), pp. 1634-1649.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 1634-1649
    • Reddy, S.C.1    Trefethen, L.N.2
  • 22
    • 43949153380 scopus 로고
    • Rational Krylov algorithms for nonsymmetric eigenvalue problems, II: Matrix pairs
    • A. RUHE, Rational Krylov algorithms for nonsymmetric eigenvalue problems, II: Matrix pairs, Linear Algebra Appl., 197/198 (1994), pp. 283-296.
    • (1994) Linear Algebra Appl. , vol.197-198 , pp. 283-296
    • Ruhe, A.1
  • 24
    • 84936777186 scopus 로고
    • Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems
    • Y. SAAD, Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems, Math. Comp., 42 (1984), pp. 567-588.
    • (1984) Math. Comp. , vol.42 , pp. 567-588
    • Saad, Y.1
  • 26
    • 0026818185 scopus 로고
    • Analysis of some Krylov subspace approximations to the matrix exponential operator
    • Y. SAAD, Analysis of some Krylov subspace approximations to the matrix exponential operator, SIAM J. Numer. Anal., 29 (1992), pp. 209-228.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 209-228
    • Saad, Y.1
  • 28
    • 0030560293 scopus 로고    scopus 로고
    • A generalized Jacobi-Davidson iteration method for linear eigenvalue problems
    • to appear
    • G. L. G. SLEIJPEN AND H. A. VAN DER VORST, A generalized Jacobi-Davidson iteration method for linear eigenvalue problems, SIAM. J. Matrix Anal. Appl., 17 (1996), to appear.
    • (1996) SIAM. J. Matrix Anal. Appl. , vol.17
    • Sleijpen, G.L.G.1    Van Der Vorst, H.A.2
  • 29
    • 0000322706 scopus 로고
    • Implicit application of polynomial filters in a k-step Arnoldi method
    • D. C. SORENSEN, Implicit application of polynomial filters in a k-step Arnoldi method, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 375-385.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 375-385
    • Sorensen, D.C.1
  • 31
    • 6044236247 scopus 로고
    • Report 94-16, Interdisciplinary Project Center for Supercomputing, Swiss Federal Inst. of Technology, Zurich, Switzerland, August
    • A. E. TREFETHEN, L. N. TREFETHEN, AND P. J. SCHMID, Spectra and pseudospectra for pipe Poiseuille flow, Report 94-16, Interdisciplinary Project Center for Supercomputing, Swiss Federal Inst. of Technology, Zurich, Switzerland, August, 1994.
    • (1994) Spectra and Pseudospectra for Pipe Poiseuille Flow
    • Trefethen, A.E.1    Trefethen, L.N.2    Schmid, P.J.3
  • 32
    • 0000992781 scopus 로고
    • Pseudospectra of matrices
    • D. F. Griffiths and G. A. Watson, eds., Longman Scientific and Technical, Harlow, UK
    • L. N. TREFETHEN, Pseudospectra of matrices, in Numerical Analysis 1991, D. F. Griffiths and G. A. Watson, eds., Longman Scientific and Technical, Harlow, UK, 1992.
    • (1992) Numerical Analysis 1991
    • Trefethen, L.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.