메뉴 건너뛰기




Volumn 91, Issue 4, 2002, Pages 605-625

On the regularizing properties of the GMRES method

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036627743     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110100339     Document Type: Article
Times cited : (92)

References (17)
  • 1
    • 0012917960 scopus 로고
    • The use of auto-correlation for pseudo-rank determination in noisy ill-conditioned least-squares problems
    • M.L. Baart: The use of auto-correlation for pseudo-rank determination in noisy ill-conditioned least-squares problems. IMA J. Numer. Anal. 2, 241-247 (1982)
    • (1982) IMA J. Numer. Anal. , vol.2 , pp. 241-247
    • Baart, M.L.1
  • 4
  • 5
    • 0034500563 scopus 로고    scopus 로고
    • Restoration of images with spatially variant blur by the GMRES method
    • Advanced Signal Processing Algorithms, Architectures, and Implementations X, ed. F. T. Luk, The International Society for Optical Engineering, Bellingham, WA
    • D. Calvetti, B. Lewis, L. Reichel: Restoration of images with spatially variant blur by the GMRES method, in Advanced Signal Processing Algorithms, Architectures, and Implementations X, ed. F. T. Luk, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), vol. 4116, The International Society for Optical Engineering, Bellingham, WA, 2000, pp. 364-374
    • (2000) Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE) , vol.4116 , pp. 364-374
    • Calvetti, D.1    Lewis, B.2    Reichel, L.3
  • 6
    • 0020142847 scopus 로고
    • Determining surface temperatures from interior observations
    • A.S. Carasso: Determining surface temperatures from interior observations. SIAM J. Appl. Math. 42, 558-574 (1982)
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 558-574
    • Carasso, A.S.1
  • 9
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • M. Hanke, P.C. Hansen: Regularization methods for large-scale problems. Surv. Math. Ind. 3, 253-315 (1993)
    • (1993) Surv. Math. Ind. , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 10
    • 13344267706 scopus 로고
    • Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
    • P.C. Hansen: Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems. Numer. Algorithms 6, 1-35 (1994)
    • (1994) Numer. Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 12
    • 0013004199 scopus 로고    scopus 로고
    • Error analysis of Krylov methods in a nutshell
    • M. Hochbruck, C. Lubich: Error analysis of Krylov methods in a nutshell. SIAM J. Sci. Comput. 19, 695-701 (1998)
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 695-701
    • Hochbruck, M.1    Lubich, C.2
  • 13
    • 0000739264 scopus 로고
    • On the solution of functional equations by the method of regularization
    • V.A. Morozov: On the solution of functional equations by the method of regularization. Soviet Math. Dokl. 7, 414-417 (1966)
    • (1966) Soviet Math. Dokl. , vol.7 , pp. 414-417
    • Morozov, V.A.1
  • 14
    • 0030524567 scopus 로고    scopus 로고
    • On the discrepancy principle for iterative and parametric methods to solve linear ill-posed equations
    • R. Plato: On the discrepancy principle for iterative and parametric methods to solve linear ill-posed equations. Numer. Math. 75, 99-120 (1996)
    • (1996) Numer. Math. , vol.75 , pp. 99-120
    • Plato, R.1
  • 16
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual method for solving nonsymmetric linear systems
    • Y. Saad, M.H. Schultz: GMRES: a generalized minimal residual method for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856-869 (1986)
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 17
    • 0000195992 scopus 로고
    • Perturbation theory for pseudo-inverses
    • P.Å. Wedin: Perturbation theory for pseudo-inverses. BIT 13, 217-232 (1973)
    • (1973) BIT , vol.13 , pp. 217-232
    • Wedin, P.Å.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.