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Volumn 34, Issue 1, 1997, Pages 178-200

Multigrid methods for nearly singular linear equations and eigenvalue problems

Author keywords

Eigenvalue problem; Multigrid; Rayleigh quotient; Singular equations

Indexed keywords


EID: 0000323375     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827594261139     Document Type: Article
Times cited : (36)

References (9)
  • 1
    • 0001237755 scopus 로고
    • Analysis of a multilevel inverse iteration procedure for eigenvalue problems
    • R. BANK, Analysis of a multilevel inverse iteration procedure for eigenvalue problems, SIAM J. Numer. Anal., 19 (1982), pp. 886-898.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 886-898
    • Bank, R.1
  • 3
    • 0005708885 scopus 로고
    • Multigrid solutions to linear and nonlinear eigenvalue problems for integral and differential equations
    • W. HACKBUSCH, Multigrid solutions to linear and nonlinear eigenvalue problems for integral and differential equations, Rostock. Math. Kolloq., 25 (1984), pp. 79-98.
    • (1984) Rostock. Math. Kolloq. , vol.25 , pp. 79-98
    • Hackbusch, W.1
  • 4
    • 0001171887 scopus 로고
    • On the computation of approximate eigenvalues and eigenfunctions by means of a multigrid method
    • W. HACKBUSCH, On the computation of approximate eigenvalues and eigenfunctions by means of a multigrid method, SIAM J. Numer. Anal., 16 (1979), pp. 201-215.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 201-215
    • Hackbusch, W.1
  • 5
    • 0000677797 scopus 로고
    • A multilevel variational method for Au = λBu on composite grids
    • J. MANDEL AND S. MCCORMICK, A multilevel variational method for Au = λBu on composite grids, J. Comput. Phys., 80 (1989), pp. 442-450.
    • (1989) J. Comput. Phys. , vol.80 , pp. 442-450
    • Mandel, J.1    Mccormick, S.2
  • 6
    • 0000955614 scopus 로고
    • Variational multigrid theory
    • Multigrid Methods, S. McCormick, ed.
    • J. MANDEL, S. MCCORMICK, AND R. BANK, Variational multigrid theory, in Multigrid Methods, S. McCormick, ed., SIAM Frontiers in Applied Math., 3 (1987), pp. 131-178.
    • (1987) SIAM Frontiers in Applied Math , vol.3 , pp. 131-178
    • Mandel, J.1    Mccormick, S.2    Bank, R.3
  • 7
    • 84966223342 scopus 로고
    • A mesh refinement method for Ax = λBx
    • S. MCCORMICK, A mesh refinement method for Ax = λBx, Math. Comp., 36 (1981), pp. 485-498.
    • (1981) Math. Comp. , vol.36 , pp. 485-498
    • Mccormick, S.1
  • 8
    • 0028730998 scopus 로고
    • Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory
    • S. MCCORMICK, Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory, SIAM J. Numer. Anal., 31 (1994), pp. 1731-1745.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1731-1745
    • Mccormick, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.