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Volumn 193, Issue 1, 2006, Pages 157-167

Iterative methods for ill-posed problems and semiconvergent sequences

Author keywords

Ill posed problem; Iterative method; L curve; Stopping criterion

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 33646174082     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.05.028     Document Type: Article
Times cited : (29)

References (12)
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    • Calvetti, D.1    Lewis, B.2    Reichel, L.3
  • 3
    • 0040018831 scopus 로고
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    • Brown J.D., Chu M.T., Ellison D.C., and Plemmons R.J. (Eds), SIAM, Philadelphia
    • Calvetti D., Reichel L., and Zhang Q. Conjugate gradient algorithms for symmetric inconsistent linear systems. In: Brown J.D., Chu M.T., Ellison D.C., and Plemmons R.J. (Eds). Proceedings of the Cornelius Lanczos International Centenary Conference (1994), SIAM, Philadelphia 267-272
    • (1994) Proceedings of the Cornelius Lanczos International Centenary Conference , pp. 267-272
    • Calvetti, D.1    Reichel, L.2    Zhang, Q.3
  • 4
    • 0036895160 scopus 로고    scopus 로고
    • The triangle method for finding the corner of the L-curve
    • Castellanos J.L., Gómez S., and Guerra V. The triangle method for finding the corner of the L-curve. Appl. Numer. Math. 43 (2002) 359-373
    • (2002) Appl. Numer. Math. , vol.43 , pp. 359-373
    • Castellanos, J.L.1    Gómez, S.2    Guerra, V.3
  • 6
    • 22744453343 scopus 로고    scopus 로고
    • Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials
    • Available at
    • Ferreira C., López J.L., and Temme N.M. Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Elec. Trans. Numer. Anal. 19 (2005) 58-83. http://www.etna.mcs.kent.edu Available at
    • (2005) Elec. Trans. Numer. Anal. , vol.19 , pp. 58-83
    • Ferreira, C.1    López, J.L.2    Temme, N.M.3
  • 8
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • Hanke M., and Hansen P.C. Regularization methods for large-scale problems. Surv. Math. Ind. 3 (1993) 253-315
    • (1993) Surv. Math. Ind. , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 9
    • 13344267706 scopus 로고
    • Regularization Tools: a Matlab package for analysis and solution of discrete ill-posed problems
    • Software is available in Netlib at
    • Hansen P.C. Regularization Tools: a Matlab package for analysis and solution of discrete ill-posed problems. Numer. Algorithms 6 (1994) 1-35. http://www.netlib.org Software is available in Netlib at
    • (1994) Numer. Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 11
    • 0031327507 scopus 로고    scopus 로고
    • Regularization of ill-posed problems by envelope guided conjugate gradients
    • Kaufman L., and Neumaier A. Regularization of ill-posed problems by envelope guided conjugate gradients. J. Comput. Graph. Statist. 6 (1997) 451-463
    • (1997) J. Comput. Graph. Statist. , vol.6 , pp. 451-463
    • Kaufman, L.1    Neumaier, A.2
  • 12
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    • A technique for the numerical solution of certain integral equations of the first kind
    • Phillips D.L. A technique for the numerical solution of certain integral equations of the first kind. J. ACM 9 (1962) 84-97
    • (1962) J. ACM , vol.9 , pp. 84-97
    • Phillips, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.