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Volumn 81, Issue 1, 1998, Pages 1-29

Extrapolation techniques for ill-conditioned linear systems

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EID: 0039530583     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050382     Document Type: Article
Times cited : (41)

References (33)
  • 1
    • 0000172225 scopus 로고
    • A general extrapolation algorithm
    • Brezinski C. (1980): A general extrapolation algorithm, Numer. Math. 35:175-187
    • (1980) Numer. Math. , vol.35 , pp. 175-187
    • Brezinski, C.1
  • 3
    • 33645426902 scopus 로고
    • Fehlerabschätzungen und extrapolation mit rationalen funktionen bei verfahren vom Richardson-Typus
    • Bulirsch R., Stoer J. (1964): Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus. Numer. Math. 6:413-427
    • (1964) Numer. Math. , vol.6 , pp. 413-427
    • Bulirsch, R.1    Stoer, J.2
  • 5
    • 0039024008 scopus 로고
    • A useful identity for the rational Hermite interpolation table
    • Claessens G: (1978): A useful identity for the rational Hermite interpolation table. Numer. Math. 29:227-231
    • (1978) Numer. Math. , vol.29 , pp. 227-231
    • Claessens, G.1
  • 10
    • 0039585591 scopus 로고
    • Conditionnement des problèmes d'approximation (aux moindres carrés) et des problèmes de lissage
    • Besançon, 7-14 September 1966, Editions du CNRS, Paris, 1968
    • Gastinel N. (1968): Conditionnement des problèmes d'approximation (aux moindres carrés) et des problèmes de lissage. In: Programmation en Mathématiques Numériques. Besançon, 7-14 September 1966, Editions du CNRS, Paris, 1968, pp. 111-122
    • (1968) Programmation en Mathématiques Numériques , pp. 111-122
    • Gastinel, N.1
  • 11
    • 32044449925 scopus 로고
    • Generalized cross-validation as a method for choosing a good ridge parameter
    • Golub G.H., Heath M., Wahba G. (1979): Generalized cross-validation as a method for choosing a good ridge parameter. Technometrics 21:215-223
    • (1979) Technometrics , vol.21 , pp. 215-223
    • Golub, G.H.1    Heath, M.2    Wahba, G.3
  • 12
    • 0038992806 scopus 로고
    • Some properties of the regularized solutions of ill-conditioned linear systems
    • Guerri L., Seatzu S. (1984): Some properties of the regularized solutions of ill-conditioned linear systems. Boll. Unione Mat. Ital., VI Ser., B, 3:435-450
    • (1984) Boll. Unione Mat. Ital., VI Ser. , vol.3 B , pp. 435-450
    • Guerri, L.1    Seatzu, S.2
  • 13
    • 0023570429 scopus 로고
    • The truncated SVD as a method for regularization
    • Hansen P.C. (1987): The truncated SVD as a method for regularization. BIT 27:534-553
    • (1987) BIT , vol.27 , pp. 534-553
    • Hansen, P.C.1
  • 14
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • Hansen P.C. (1992): Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev. 34:561-580
    • (1992) SIAM Rev. , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 15
    • 13344267706 scopus 로고
    • Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
    • Hansen P.C. (1994): Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems. Numerical Algorithms 6:1-35
    • (1994) Numerical Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 16
    • 0001632418 scopus 로고
    • The use of the L-curve in the regularization of discrete ill-posed problems
    • Hansen P.C., O'Leary D.P. (1993): The use of the L-curve in the regularization of discrete ill-posed problems, SIAM J. Sci. Stat. Comput. 14:1487-1503
    • (1993) SIAM J. Sci. Stat. Comput. , vol.14 , pp. 1487-1503
    • Hansen, P.C.1    O'Leary, D.P.2
  • 18
    • 0038992808 scopus 로고
    • Some techniques for rational interpolation
    • Larkin F.M. (1967): Some techniques for rational interpolation. Comput. J. 10:178-187
    • (1967) Comput. J. , vol.10 , pp. 178-187
    • Larkin, F.M.1
  • 20
    • 0040176984 scopus 로고
    • The choice of parameter when solving functional equations by regularization
    • Morozov V.A. (1962): The choice of parameter when solving functional equations by regularization. Dokl. Akad. Nauk SSSR 175:1225-1228
    • (1962) Dokl. Akad. Nauk SSSR , vol.175 , pp. 1225-1228
    • Morozov, V.A.1
  • 21
    • 0000726285 scopus 로고
    • Computing the generalized singular value decomposition
    • Paige C.C. (1986): Computing the Generalized Singular Value Decomposition. SIAM J. Sci. Stat. Comput. 7:1126-1146
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 1126-1146
    • Paige, C.C.1
  • 22
    • 0001129014 scopus 로고
    • Towards a generalized singular value decomposition
    • Paige C.C., Saunders M.A. (1981): Towards a Generalized Singular Value Decomposition. SIAM J. Numer. Anal. 18:398-405
    • (1981) SIAM J. Numer. Anal. , vol.18 , pp. 398-405
    • Paige, C.C.1    Saunders, M.A.2
  • 24
    • 25744438971 scopus 로고
    • Régularisation d'opérateurs
    • Ribière G. (1967): Régularisation d'opérateurs. RIRO 1(5):57-79
    • (1967) RIRO , vol.1 , Issue.5 , pp. 57-79
    • Ribière, G.1
  • 25
    • 84941503193 scopus 로고
    • Solving systems of linear equations with a positive definite, symmetric, but possibly ill-conditioned matrix
    • Riley J.D. (1956): Solving systems of linear equations with a positive definite, symmetric, but possibly ill-conditioned matrix. MTAC 9:96-101
    • (1956) MTAC , vol.9 , pp. 96-101
    • Riley, J.D.1
  • 27
    • 0001300994 scopus 로고
    • Solution of incorrectly formulated problems and the regularization method
    • Tikhonov A.N. (1963): Solution of incorrectly formulated problems and the regularization method. Soviet Math. Dokl. 4:1036-1038
    • (1963) Soviet Math. Dokl. , vol.4 , pp. 1036-1038
    • Tikhonov, A.N.1
  • 28
    • 0001300995 scopus 로고
    • Regularization of incorrectly posed problems
    • Tikhonov A.N. (1963): Regularization of incorrectly posed problems. Soviet Math. Dokl. 4:1624-1627
    • (1963) Soviet Math. Dokl. , vol.4 , pp. 1624-1627
    • Tikhonov, A.N.1
  • 31
    • 0000767435 scopus 로고
    • Computing the CS and the generalized singular value decomposition
    • Van Loan C. (1985): Computing the CS and the generalized singular value decomposition. Numer. Math. 46:479-491
    • (1985) Numer. Math. , vol.46 , pp. 479-491
    • Van Loan, C.1
  • 32
    • 0001041472 scopus 로고    scopus 로고
    • Non-convergence of the L-curve regularization parameter selection method
    • Vogel C.R. (1996): Non-convergence of the L-curve regularization parameter selection method. Inverse Problems 12:535-547
    • (1996) Inverse Problems , vol.12 , pp. 535-547
    • Vogel, C.R.1
  • 33
    • 84971178657 scopus 로고
    • On a procrustean technique for the numerical transformation of slowly convergent sequences and series
    • Wynn P. (1956): On a procrustean technique for the numerical transformation of slowly convergent sequences and series. Proc. Cambridge Phil. Soc. 52:663-671
    • (1956) Proc. Cambridge Phil. Soc. , vol.52 , pp. 663-671
    • Wynn, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.