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Numerical Functional Analysis and Optimization Volume 28, 2007 - Issue 1-2
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Original Articles

Iterative Regularization and Generalized Discrepancy Principle for Monotone Operator Equations

Anatoly Bakushinsky Institute of System Analysis RAS, Moscow, Russia
&
Alexandra Smirnova Department of Mathematics and Statistics, Georgia State University, Atlanta, Georgia, USACorrespondence[email protected]
Pages 13-25 | Published online: 14 Mar 2007

Citations (8)

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Pallavi Mahale & Ankit Singh. (2022) A Convergence Analysis of the Iterated Lavrentiev Regularization Method under a Lipschitz Condition. Numerical Functional Analysis and Optimization 43:2, pages 181-220.
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Articles from other publishers (7)

Jingyue Huang, Xingjun Luo & Rong Zhang. (2022) A simplified iteratively regularized projection method for nonlinear ill-posed problems. Journal of Complexity 72, pages 101664.
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Pallavi Mahale. (2017) Simplified Iterated Lavrentiev Regularization for Nonlinear Ill-Posed Monotone Operator Equations. Computational Methods in Applied Mathematics 17:2, pages 269-285.
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Stefan Kindermann. (2017) Convergence of the gradient method for ill-posed problems. Inverse Problems & Imaging 11:4, pages 703-720.
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Bernd Hofmann, Barbara Kaltenbacher & Elena Resmerita. (2016) Lavrentiev's regularization method in Hilbert spaces revisited. Inverse Problems and Imaging 10:3, pages 741-764.
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Nguyen Buong, Nguyen Duong Nguyen & Nguyen Thi Thu Thuy. (2015) Newton-Kantorovich iterative regularization and generalized discrepancy principle for nonlinear ill-posed equations involving accretive mappings. Russian Mathematics 59:5, pages 32-37.
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Ioannis K Argyros, Yeol Je Cho & Santhosh George. (2013) Expanding the applicability of Lavrentiev regularization methods for ill-posed problems. Boundary Value Problems 2013:1.
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P. MAHALE & M. T. NAIR. (2010) ITERATED LAVRENTIEV REGULARIZATION FOR NONLINEAR ILL-POSED PROBLEMS. The ANZIAM Journal 51:2, pages 191-217.
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