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Volumn , Issue , 2003, Pages 1963-1967

On the rate of convergence and complexity of finite element normalized explicit approximate inverse preconditioning

Author keywords

Boundary value problems; Normalized approximate inverse finite element matrix techniques; Preconditioning; Rate of convergence and complexity

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; CONJUGATE GRADIENT METHOD; MATRIX ALGEBRA;

EID: 84941645326     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-008044046-0.50482-6     Document Type: Chapter
Times cited : (10)

References (11)
  • 2
    • 85032532899 scopus 로고    scopus 로고
    • The convergence rate and complexity of explicit preconditioned conjugate gradient methods based on approximate inverse banded matrix techniques
    • Gravvanis GA The convergence rate and complexity of explicit preconditioned conjugate gradient methods based on approximate inverse banded matrix techniques. Neural Parallel Sci Comput 2001, 9:355-367.
    • (2001) Neural Parallel Sci Comput , vol.9 , pp. 355-367
    • Gravvanis, G.A.1
  • 3
    • 0013189624 scopus 로고    scopus 로고
    • A note on the rate of convergence and complexity of domain decomposition approximate inverse preconditioning
    • Elsevier, Amsterdam, K.J. Bathe (Ed.)
    • Gravvanis GA A note on the rate of convergence and complexity of domain decomposition approximate inverse preconditioning. Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics 2001, Vol. 2:1586-1589. Elsevier, Amsterdam. K.J. Bathe (Ed.).
    • (2001) Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics , vol.2 , pp. 1586-1589
    • Gravvanis, G.A.1
  • 4
    • 0029777947 scopus 로고    scopus 로고
    • The rate of convergence of explicit approximate inverse preconditioning
    • Gravvanis GA The rate of convergence of explicit approximate inverse preconditioning. Int J Comput Math 1996, 60:77-89.
    • (1996) Int J Comput Math , vol.60 , pp. 77-89
    • Gravvanis, G.A.1
  • 7
    • 84985376638 scopus 로고
    • New convergence results and preconditioning strategies for the conjugate gradient method
    • Kaporin I New convergence results and preconditioning strategies for the conjugate gradient method. Numer Linear Alg Appl 1994, 1:179-210.
    • (1994) Numer Linear Alg Appl , vol.1 , pp. 179-210
    • Kaporin, I.1
  • 8
    • 38249043664 scopus 로고
    • Approximate root-free factorization techniques for solving elliptic difference equations in three space variables
    • Lipitakis EA Approximate root-free factorization techniques for solving elliptic difference equations in three space variables. Linear Algebra Appl 1986, 76:247-269.
    • (1986) Linear Algebra Appl , vol.76 , pp. 247-269
    • Lipitakis, E.A.1
  • 9
    • 4944266312 scopus 로고
    • The convergence rate and complexity of preconditioned iterative methods based on approximate finite element matrix factorization
    • Lipitakis EA, Gravvanis GA The convergence rate and complexity of preconditioned iterative methods based on approximate finite element matrix factorization. Bull Greek Math Soc 1992, 33:11-23.
    • (1992) Bull Greek Math Soc , vol.33 , pp. 11-23
    • Lipitakis, E.A.1    Gravvanis, G.A.2
  • 10
    • 21144467170 scopus 로고
    • On the convergence rate of the conjugate gradients in presence of rounding errors
    • Notay Y On the convergence rate of the conjugate gradients in presence of rounding errors. Numer Math 1993, 65:301-317.
    • (1993) Numer Math , vol.65 , pp. 301-317
    • Notay, Y.1
  • 11
    • 0001403122 scopus 로고
    • The rate of convergence of conjugate gradients
    • Van der Sluis A, van der Vorst HA The rate of convergence of conjugate gradients. Numer Math 1986, 48:543-560.
    • (1986) Numer Math , vol.48 , pp. 543-560
    • Van der Sluis, A.1    van der Vorst, H.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.