메뉴 건너뛰기




Volumn 7, Issue , 1998, Pages 56-74

A block Rayleigh Quotient Iteration with local quadratic convergence

Author keywords

Rayleigh Quotient Iteration; Rayleigh Ritz procedure; Subspace iteration

Indexed keywords


EID: 0002914276     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 0344845742 scopus 로고    scopus 로고
    • A subspace preconditioning algorithm for eigenvector/eigenvalue computation
    • J. BRAMBLE, A. KNYAZEV AND J. PASCIAK, A subspace preconditioning algorithm for eigenvector/eigenvalue computation, Adv. Comput. Math., 6 (1997), pp. 159-189.
    • (1997) Adv. Comput. Math. , vol.6 , pp. 159-189
    • Bramble, J.1    Knyazev, A.2    Pasciak, J.3
  • 3
    • 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
  • 4
    • 0042927604 scopus 로고    scopus 로고
    • RQI (Rayleigh Quotient Iteration), an old recipe for solving modern large scale eigenvalue problems
    • J. DESCLOUX, J.-L. FATTEBERT, AND F. GYGI, RQI (Rayleigh Quotient Iteration), an old recipe for solving modern large scale eigenvalue problems, Comput. Phys., 12 (1998), pp. 22-27.
    • (1998) Comput. Phys. , vol.12 , pp. 22-27
    • Descloux, J.1    Fattebert, J.-L.2    Gygi, F.3
  • 5
    • 1542603298 scopus 로고    scopus 로고
    • On conjugate gradient-like methods for eigen-like problems
    • A. EDELMAN AND S. SMITH, On conjugate gradient-like methods for eigen-like problems, BIT, 36 (1996), pp. 494-508.
    • (1996) BIT , vol.36 , pp. 494-508
    • Edelman, A.1    Smith, S.2
  • 6
    • 85189846736 scopus 로고    scopus 로고
    • Finite difference schemes and block Rayleigh Quotient Iteration for electronic structure calculations on composite grids
    • to appear
    • J.-L. FATTEBERT, Finite difference schemes and block Rayleigh Quotient Iteration for electronic structure calculations on composite grids, J. Comput. Phys. (to appear).
    • J. Comput. Phys.
    • Fattebert, J.-L.1
  • 7
    • 0347093108 scopus 로고    scopus 로고
    • An inverse iteration method using multigrid for quantum chemistry
    • _, An inverse iteration method using multigrid for quantum chemistry, BIT, 36 (1996), pp. 509-522.
    • (1996) BIT , vol.36 , pp. 509-522
  • 11
    • 0031521086 scopus 로고    scopus 로고
    • New estimates for Ritz vectors
    • A. KNYAZEV, New estimates for Ritz vectors, Math. Comp., 66 (1997), pp. 985-995.
    • (1997) Math. Comp. , vol.66 , pp. 985-995
    • Knyazev, A.1
  • 12
    • 0345803404 scopus 로고
    • Simultaneous Raleigh-Quotient minimization methods for Λx = λBx
    • D. LONGSINE AND S. MCCORMICK, Simultaneous Raleigh-Quotient minimization methods for Λx = λBx, Linear Algebra Appl., 34 (1980), pp. 195-234.
    • (1980) Linear Algebra Appl. , vol.34 , pp. 195-234
    • Longsine, D.1    Mccormick, S.2
  • 15
    • 1542708385 scopus 로고    scopus 로고
    • Solution of large eigenvalue problems in electronic structure calculations
    • Y. SAAD, A. STATHOPOULOS, J. CHELIKOWSKY, K. WU AND S. OGUT, Solution of large eigenvalue problems in electronic structure calculations, BIT, 36 (1996), pp. 563-578.
    • (1996) BIT , vol.36 , pp. 563-578
    • Saad, Y.1    Stathopoulos, A.2    Chelikowsky, J.3    Wu, K.4    Ogut, S.5
  • 16
    • 0030560293 scopus 로고    scopus 로고
    • A generalized Jacobi-Davidson iteration method for linear eigenvalue problem
    • G. SLEIJPEN AND H. V. D. VORST, A generalized Jacobi-Davidson iteration method for linear eigenvalue problem, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 401-425.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 401-425
    • Sleijpen, G.1    Vorst, H.V.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.