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Volumn 19, Issue 4, 1999, Pages 549-561

LU implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems

Author keywords

Extrapolation; Linear systems; Nonlinear systems; Projection; Vector sequences

Indexed keywords

LINEAR SYSTEMS; NONLINEAR SYSTEMS; POLYNOMIALS;

EID: 0033239105     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/19.4.549     Document Type: Article
Times cited : (27)

References (21)
  • 1
    • 0006551950 scopus 로고
    • A Newton basis GMRES implementation
    • BAI, Z., HU, D., & REICHEL, L. 1994 A Newton basis GMRES implementation. IMA J. Numer. Anal. 14, 563-581.
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 563-581
    • Bai, Z.1    Hu, D.2    Reichel, L.3
  • 2
    • 51249190243 scopus 로고
    • Généralisation de la transformation de shanks, de la table de padé et de l'epsilon-algorithm
    • BREZINSKI, C. 1975 Généralisation de la transformation de Shanks, de la table de Padé et de l'epsilon-algorithm. Calcolo 12, 317-360.
    • (1975) Calcolo , vol.12 , pp. 317-360
    • Brezinski, C.1
  • 3
    • 0020932720 scopus 로고
    • Recursive interpolation, extrapolation and projection
    • BREZINSKI, C. 1983 Recursive interpolation, extrapolation and projection. J. Comput. Appl. Math. 9, 369-376.
    • (1983) J. Comput. Appl. Math. , vol.9 , pp. 369-376
    • Brezinski, C.1
  • 4
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • BROWN, P. & SAAD, Y. 1990 Hybrid Krylov methods for nonlinear systems of equations. SIAM J. Sci. Stat. Comput. 11, 450-481.
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 450-481
    • Brown, P.1    Saad, Y.2
  • 5
    • 0017014017 scopus 로고
    • A polynomial extrapolation method for finding limits and antilimits for vector sequences
    • CABAY, S. & JACKSON, L. W. 1976 A polynomial extrapolation method for finding limits and antilimits for vector sequences. SIAM J. Numer. Anal. 13, 734-752.
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 734-752
    • Cabay, S.1    Jackson, L.W.2
  • 6
    • 0002447419 scopus 로고
    • Extrapolation to the limit of a vector sequence
    • (P. C. C. Wang, ed). New York: Academic
    • EDDY, R. P. 1979 Extrapolation to the limit of a vector sequence. Information Linkage Between Applied Mathematics and Industry (P. C. C. Wang, ed). New York: Academic, pp 387-396.
    • (1979) Information Linkage Between Applied Mathematics and Industry , pp. 387-396
    • Eddy, R.P.1
  • 7
    • 38249028607 scopus 로고
    • Recursive algorithms for vector extrapolation methods
    • FORD, W. D. & SIDI, A. 1988 Recursive algorithms for vector extrapolation methods. Appl. Numer. Math. 4, 477-489.
    • (1988) Appl. Numer. Math. , vol.4 , pp. 477-489
    • Ford, W.D.1    Sidi, A.2
  • 9
    • 0001003956 scopus 로고
    • Some results about vector extrapolation methods and related fixed point iterations
    • JBILOU, K. & SADOK, H. 1991 Some results about vector extrapolation methods and related fixed point iterations. J. Comput. Appl. Math. 36, 385-398.
    • (1991) J. Comput. Appl. Math. , vol.36 , pp. 385-398
    • Jbilou, K.1    Sadok, H.2
  • 10
    • 0017455963 scopus 로고
    • Convergence acceleration for the iterative solution of x = Ax + f
    • MES̀INA, M. 1977 Convergence acceleration for the iterative solution of x = Ax + f. Comput. Methods Appl. Mech. Eng. 10, 165-173.
    • (1977) Comput. Methods Appl. Mech. Eng. , vol.10 , pp. 165-173
    • Mes̀ina, M.1
  • 11
    • 0000316261 scopus 로고
    • Acceleration of the convergence of iterative processes and a method for solving systems of nonlinear equations
    • PUGATCHEV, B. P. 1978 Acceleration of the convergence of iterative processes and a method for solving systems of nonlinear equations. U.S.S.R. Comput. Math. Math. Phys. 17, 199-207.
    • (1978) U.S.S.R. Comput. Math. Math. Phys. , vol.17 , pp. 199-207
    • Pugatchev, B.P.1
  • 12
    • 84966222159 scopus 로고
    • Krylov subspace methods for solving large unsymmetric linear systems
    • SAAD, Y. 1981 Krylov subspace methods for solving large unsymmetric linear systems. Math. Comput. 37, 105-126.
    • (1981) Math. Comput. , vol.37 , pp. 105-126
    • Saad, Y.1
  • 13
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • SAAD, Y. & SCHULTZ, M. H. 1986 GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856-869.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 14
    • 0022660227 scopus 로고
    • Convergence and stability of minimal polynomial and reduced rank extrapolation algorithms
    • SIDI, A. 1986 Convergence and stability of minimal polynomial and reduced rank extrapolation algorithms. SIAM J. Numer. Anal. 23, 197-209.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 197-209
    • Sidi, A.1
  • 15
    • 0023995271 scopus 로고
    • Extrapolation vs. projection methods for linear systems of equations
    • SIDI, A. 1988 Extrapolation vs. projection methods for linear systems of equations. J. Comput. Appl. Math. 22, 71-88.
    • (1988) J. Comput. Appl. Math. , vol.22 , pp. 71-88
    • Sidi, A.1
  • 16
    • 0000455454 scopus 로고
    • Efficient implementation of minimal polynomial and reduced rank extrapolation methods
    • SIDI, A. 1991 Efficient implementation of minimal polynomial and reduced rank extrapolation methods. J. Comput. Appl. Math. 36, 305-337.
    • (1991) J. Comput. Appl. Math. , vol.36 , pp. 305-337
    • Sidi, A.1
  • 17
    • 0023994881 scopus 로고
    • Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices
    • SIDI, A. & BRIDGER, J. 1988 Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices. J. Comput. Appl. Math. 22, 35-61.
    • (1988) J. Comput. Appl. Math. , vol.22 , pp. 35-61
    • Sidi, A.1    Bridger, J.2
  • 18
    • 0022662418 scopus 로고
    • Acceleration of convergence of vector sequences
    • SIDI, A., FORD, W. F., & SMITH, D. A. 1986 Acceleration of convergence of vector sequences. SIAM J. Numer. Anal. 23, 178-196.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 178-196
    • Sidi, A.1    Ford, W.F.2    Smith, D.A.3
  • 19
    • 0023364737 scopus 로고
    • Extrapolation methods for vector sequences
    • SMITH, D. A., FORD, W. F., & SIDI, A. 1987 Extrapolation methods for vector sequences. SIAM Rev. 29, 199-233; Correction 1988 SIAM Rev. 30, 623-624.
    • (1987) SIAM Rev. , vol.29 , pp. 199-233
    • Smith, D.A.1    Ford, W.F.2    Sidi, A.3
  • 20
    • 0023364737 scopus 로고
    • SMITH, D. A., FORD, W. F., & SIDI, A. 1987 Extrapolation methods for vector sequences. SIAM Rev. 29, 199-233; Correction 1988 SIAM Rev. 30, 623-624.
    • (1988) SIAM Rev. , vol.30 , pp. 623-624
  • 21
    • 84968509237 scopus 로고
    • Acceleration technique for iterated vector and matrix problems
    • WYNN, P. 1962 Acceleration technique for iterated vector and matrix problems. Math. Comput. 16, 301-322.
    • (1962) Math. Comput. , vol.16 , pp. 301-322
    • Wynn, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.