메뉴 건너뛰기




Volumn 15, Issue 7, 2008, Pages 575-594

Effective condition number for numerical partial differential equations

Author keywords

Condition number; Effective condition number; Poisson's equation; Stability analysis; numerical PDE

Indexed keywords


EID: 52649083120     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.584     Document Type: Article
Times cited : (21)

References (33)
  • 10
    • 0004236492 scopus 로고
    • 2nd edn, Johns Hopkins University Press: Baltimore, MD, London
    • Golub GH, van Loan CF. Matrix Computations (2nd edn). Johns Hopkins University Press: Baltimore, MD, London, 1989.
    • (1989) Matrix Computations
    • Golub, G.H.1    van Loan, C.F.2
  • 11
    • 0000627176 scopus 로고
    • On the perturbation of pseudo-inverse, projections and linear least squares problems
    • Stewart GW. On the perturbation of pseudo-inverse, projections and linear least squares problems. SIAM Review 1977; 19:634-662.
    • (1977) SIAM Review , vol.19 , pp. 634-662
    • Stewart, G.W.1
  • 17
    • 0032385044 scopus 로고    scopus 로고
    • A note on the normwise perturbation theory for the regular generalized eigenproblem
    • Frayssé V, Toumazou V. A note on the normwise perturbation theory for the regular generalized eigenproblem. Numerical Linear Algebra with Applications 1998; 5:1-10.
    • (1998) Numerical Linear Algebra with Applications , vol.5 , pp. 1-10
    • Frayssé, V.1    Toumazou, V.2
  • 18
    • 0034419754 scopus 로고    scopus 로고
    • Perturbation theory for generalized and constrained linear least squares
    • Gulliksson M, Wedin PA. Perturbation theory for generalized and constrained linear least squares. Numerical Linear Algebra with Applications 2000; 7:181-195.
    • (2000) Numerical Linear Algebra with Applications , vol.7 , pp. 181-195
    • Gulliksson, M.1    Wedin, P.A.2
  • 19
    • 84985345745 scopus 로고
    • Minimization of the norm, the norm of the inverse and the condition number of a matrix by completion
    • Luding E, He C, Volker M. Minimization of the norm, the norm of the inverse and the condition number of a matrix by completion. Numerical Linear Algebra with Applications 1995; 2(2):155-171.
    • (1995) Numerical Linear Algebra with Applications , vol.2 , Issue.2 , pp. 155-171
    • Luding, E.1    He, C.2    Volker, M.3
  • 25
    • 0002402851 scopus 로고
    • The effective condition number applied to error analysis of certain boundary collocation methods
    • Christiansen S, Hansen PC. The effective condition number applied to error analysis of certain boundary collocation methods. Journal of Computational and Applied Mathematics 1994; 54(1):15-36.
    • (1994) Journal of Computational and Applied Mathematics , vol.54 , Issue.1 , pp. 15-36
    • Christiansen, S.1    Hansen, P.C.2
  • 26
    • 0030079833 scopus 로고    scopus 로고
    • The conditioning of some numerical methods for first kind boundary integral equations
    • Christiansen S, Saranen J. The conditioning of some numerical methods for first kind boundary integral equations. Journal of Computational and Applied Mathematics 1996; 67:43-58.
    • (1996) Journal of Computational and Applied Mathematics , vol.67 , pp. 43-58
    • Christiansen, S.1    Saranen, J.2
  • 27
    • 0034560792 scopus 로고    scopus 로고
    • On the sublinear and superlinear rate of convergence of conjugate gradient methods
    • Axelsson O, Kaporin I. On the sublinear and superlinear rate of convergence of conjugate gradient methods. Numerical Algorithms 2000; 25:1-22.
    • (2000) Numerical Algorithms , vol.25 , pp. 1-22
    • Axelsson, O.1    Kaporin, I.2
  • 28
    • 0035625586 scopus 로고    scopus 로고
    • Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations
    • Axelsson O, Kaporin I. Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations. Numerical Linear Algebra with Applications 2001; 8:265-286.
    • (2001) Numerical Linear Algebra with Applications , vol.8 , pp. 265-286
    • Axelsson, O.1    Kaporin, I.2
  • 29
    • 0033294859 scopus 로고    scopus 로고
    • Error estimates for the solution of linear systems
    • Brezinski C. Error estimates for the solution of linear systems. SIAM Journal on Scientific Computing 1999; 21:764-781.
    • (1999) SIAM Journal on Scientific Computing , vol.21 , pp. 764-781
    • Brezinski, C.1
  • 33


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.