SCOPUS 정보 검색 플랫폼

Volumn 24, Issue 4, 2008, Pages

A convergence analysis of the iteratively regularized Gauss-Newton method under the Lipschitz condition

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; INVERSE PROBLEMS; ITERATIVE METHODS; NEWTON-RAPHSON METHOD;

A POSTERIORI; CONVERGENCE ANALYSIS; GAUSS-NEWTON METHODS; ILL-POSED; LIPSCHITZ CONDITIONS; OPTIMAL REGULARIZATION; STOPPING RULES;

CONVERGENCE OF NUMERICAL METHODS;

EID: 49749140382 PISSN: 02665611 EISSN: 13616420 Source Type: Journal
DOI: 10.1088/0266-5611/24/4/045002 Document Type: Article

Times cited : (31)

References (10)

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- Bakushinskii, A.B.¹

2
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- On convergence rates for the iteratively regularized Gauss-Newton method
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- Blaschke, B.¹ Neubauer, A.² Scherzer, O.³

3
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- On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
- Jin Q N 2000 On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems Math. Comp. 69 1603-23
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- Jin, Q.N.¹

4
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- On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems
- Jin Q N and Hou Z Y 1999 On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems Numer. Math. 83 139-59
- (1999) Numer. Math. , vol.83 , Issue.1 , pp. 139-159
- Jin, Q.N.¹ Hou, Z.Y.²

5
- 0000130782
- Some Newton-type methods for the regularization of nonlinear illposed problems
- Kaltenbacher B 1997 Some Newton-type methods for the regularization of nonlinear illposed problems Inverse Problems 13 729-53
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- Kaltenbacher, B.¹

6
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- A posteriori choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems
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- Kaltenbacher, B.¹

7
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- On the regularization of nonlinear ill-posed problems via inexact Newton iterations
- Rieder A 1999 On the regularization of nonlinear ill-posed problems via inexact Newton iterations Inverse Problems 15 309-27
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- Rieder, A.¹

8
- 0035590701
- On convergence rates of inexact Newton regularizations
- Rieder A 2001 On convergence rates of inexact Newton regularizations Numer. Math. 88 347-65
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- Rieder, A.¹

9
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- Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems
- Scherzer O, Engl H W and Kunisch K 1993 Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems SIAM J. Numer. Anal. 30 1796-838
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10
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