메뉴 건너뛰기




Volumn 10, Issue 3, 2003, Pages 235-246

Prefiltration technique via aggregation for constructing low-density high-quality factorized sparse approximate inverse preconditionings

Author keywords

Factorized sparse approximate inverses; Symmetric positive definite matrices; Vector aggregation technique

Indexed keywords


EID: 0037259113     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.286     Document Type: Article
Times cited : (5)

References (15)
  • 2
    • 0000812399 scopus 로고
    • Factorized sparse approximate inverse preconditionings. II: Solution of 3D FE systems on massively parallel computers
    • Kolotilina LYu, Yeremin AYu. Factorized sparse approximate inverse preconditionings. II: solution of 3D FE systems on massively parallel computers. International Journal of High Speed Computing 1995; 7:191-215.
    • (1995) International Journal of High Speed Computing , vol.7 , pp. 191-215
    • Kolotilina, L.Yu.1    Yeremin, A.Yu.2
  • 3
    • 0142128167 scopus 로고    scopus 로고
    • Factorized sparse approximate inverse preconditionings. III: Iterative construction of preconditioners
    • Yeremin AYu, Kolotilina LYu, Nikishin AA. Factorized sparse approximate inverse preconditionings. III: iterative construction of preconditioners. Zapiski Nauchnykh Seminarov POMI 1998; 248:17-48.
    • (1998) Zapiski Nauchnykh Seminarov POMI , vol.248 , pp. 17-48
    • Yeremin, A.Yu.1    Kolotilina, L.Yu.2    Nikishin, A.A.3
  • 5
    • 0033678265 scopus 로고    scopus 로고
    • A priori sparsity patterns for parallel sparse approximate inverse preconditioners
    • Chow E. A priori sparsity patterns for parallel sparse approximate inverse preconditioners. SIAM Journal on Scientific Computing 2000; 21:1804-1822.
    • (2000) SIAM Journal on Scientific Computing , vol.21 , pp. 1804-1822
    • Chow, E.1
  • 7
    • 0033242229 scopus 로고    scopus 로고
    • Toward an effective sparse approximate inverse preconditioner
    • Tang W-P. Toward an effective sparse approximate inverse preconditioner. SIAM Journal on Matrix Analysis and Applications 1998; 20:970-986.
    • (1998) SIAM Journal on Matrix Analysis and Applications , vol.20 , pp. 970-986
    • Tang, W.-P.1
  • 8
    • 0042858533 scopus 로고    scopus 로고
    • Eigenvalue bounds and inequalities using vector aggregation of matrices
    • Kolotilina LYu. Eigenvalue bounds and inequalities using vector aggregation of matrices. Linear Algebra and its Applications 1998; 271:139-167.
    • (1998) Linear Algebra and Its Applications , vol.271 , pp. 139-167
    • Kolotilina, L.Yu.1
  • 9
    • 0004675411 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for the conjugate gradient method
    • Benzi M, Meyer CD, Tu̇ma M. A sparse approximate inverse preconditioner for the conjugate gradient method. SIAM Journal on Scientific Computing 1996; 17:1135-1149.
    • (1996) SIAM Journal on Scientific Computing , vol.17 , pp. 1135-1149
    • Benzi, M.1    Meyer, C.D.2    Tuma, M.3
  • 11
    • 0142032916 scopus 로고    scopus 로고
    • January
    • Matrix Market sparse matrix collection. National Institute of Standards and Technology, January 1999, http://www.nist.gov/MatrixMarket
    • (1999) Matrix Market Sparse Matrix Collection
  • 12
    • 27844474096 scopus 로고    scopus 로고
    • Florida, June
    • Davis T. Sparse Matrix Collection. University of Florida: Florida, June 1997, http://www.cise.ufl.edu/̃davis/sparse.
    • (1997) Sparse Matrix Collection
    • Davis, T.1
  • 13
    • 0142128169 scopus 로고    scopus 로고
    • Personal communication
    • Reijo Kouhia, Personal communication.
    • Kouhia, R.1
  • 14
    • 0002166342 scopus 로고    scopus 로고
    • An agglomeration multigrid method for unstructured grids
    • Chan TF, Xu J, Zikatanov L. An agglomeration multigrid method for unstructured grids. Contemporary Mathematics 1998; 218:67-81.
    • (1998) Contemporary Mathematics , vol.218 , pp. 67-81
    • Chan, T.F.1    Xu, J.2    Zikatanov, L.3
  • 15
    • 0029278320 scopus 로고
    • Agglomeration multigrid for the three-dimensional Euler equations
    • Venkatakrishnan V, Mavriplis DJ. Agglomeration multigrid for the three-dimensional Euler equations. AIAA Journal 1995; 33:633-640.
    • (1995) AIAA Journal , vol.33 , pp. 633-640
    • Venkatakrishnan, V.1    Mavriplis, D.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.