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Volumn 9, Issue 8, 2002, Pages 599-618

An algebraic preconditioning method for M-matrices: Linear versus non-linear multilevel iteration

Author keywords

Hierarchical orderings; Multilevel iteration; Preconditioning

Indexed keywords


EID: 0036453449     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.281     Document Type: Article
Times cited : (35)

References (17)
  • 1
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    • Axelsson O, Eijkhout V. The nested recursive two-level factorization method for nine-point difference matrices. SIAM Journal on Statistical and Scientific Computing 1991; 12:1373-1400.
    • (1991) SIAM Journal on Statistical and Scientific Computing , vol.12 , pp. 1373-1400
    • Axelsson, O.1    Eijkhout, V.2
  • 3
    • 0000779223 scopus 로고
    • Algebraic multilevel preconditioning methods, I
    • Axelsson O, Vassilevski P. Algebraic multilevel preconditioning methods, I. Numerische Mathematik 1989; 56:157-177.
    • (1989) Numerische Mathematik , vol.56 , pp. 157-177
    • Axelsson, O.1    Vassilevski, P.2
  • 6
    • 0034511247 scopus 로고    scopus 로고
    • Optimal order preconditioning of finite difference matrices
    • Notay Y. Optimal order preconditioning of finite difference matrices. SIAM Journal on Scientific Computing 2000; 21:1991-2007.
    • (2000) SIAM Journal on Scientific Computing , vol.21 , pp. 1991-2007
    • Notay, Y.1
  • 8
    • 0001547219 scopus 로고
    • Hybrid V-cycle algebraic multilevel preconditioners
    • Vassilevski P. Hybrid V-cycle algebraic multilevel preconditioners. Mathematics of Computation 1992; 58: 489-512.
    • (1992) Mathematics of Computation , vol.58 , pp. 489-512
    • Vassilevski, P.1
  • 10
    • 34250126304 scopus 로고
    • On the multi-level splitting of finite element spaces
    • Yserentant H. On the multi-level splitting of finite element spaces. Numerische Mathematik 1986; 49: 379-412.
    • (1986) Numerische Mathematik , vol.49 , pp. 379-412
    • Yserentant, H.1
  • 11
    • 0032252492 scopus 로고    scopus 로고
    • Optimal V-cycle algebraic multilevel preconditioning
    • Notay Y. Optimal V-cycle algebraic multilevel preconditioning. Numerical Linear Algebra with Applications 1998; 5:441-459.
    • (1998) Numerical Linear Algebra with Applications , vol.5 , pp. 441-459
    • Notay, Y.1
  • 13
    • 84985330885 scopus 로고
    • Variable-step multilevel preconditioning methods, I: Self-adjoint and positive definite elliptic problems
    • Axelsson O, Vassilevski P. Variable-step multilevel preconditioning methods, I: Self-adjoint and positive definite elliptic problems. Numerical Linear Algebra with Applications 1994; 1:75-101.
    • (1994) Numerical Linear Algebra with Applications , vol.1 , pp. 75-101
    • Axelsson, O.1    Vassilevski, P.2
  • 14
    • 34250098040 scopus 로고
    • A generalized conjugate gradient, least square method
    • Axelsson O. A generalized conjugate gradient, least square method. Numerische Mathematik 1987; 51: 209-227.
    • (1987) Numerische Mathematik , vol.51 , pp. 209-227
    • Axelsson, O.1
  • 15
    • 0001116752 scopus 로고
    • A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning
    • Axelsson O, Vassilevski P. A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning. SIAM Journal on Matrix Analysis and Applications 1991; 12:625-644.
    • (1991) SIAM Journal on Matrix Analysis and Applications , vol.12 , pp. 625-644
    • Axelsson, O.1    Vassilevski, P.2
  • 17
    • 0031529620 scopus 로고    scopus 로고
    • A nearly optimal preconditioning based on recursive red-black orderings
    • Notay Y, Amar Z. A nearly optimal preconditioning based on recursive red-black orderings. Numerical Linear Algebra with Applications 1997; 4:369-391.
    • (1997) Numerical Linear Algebra with Applications , vol.4 , pp. 369-391
    • Notay, Y.1    Amar, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.