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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 3: Inverse Problems and Regularization Theory. Guest Editor: Jin Cheng, Masahiro Yamamoto, Shuai Lu, Jens Flemming and Stephan W. Anzengruber
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Articles

Accelerated Landweber iteration with convex penalty for linear inverse problems in Banach spaces

Markus HeglandMathematical Sciences Institute, Australian National University, Canberra, ACT0200, Australia.
,
Qinian JinMathematical Sciences Institute, Australian National University, Canberra, ACT0200, Australia.Correspondence[email protected]
&
Wei WangCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang314001, China.
Pages 524-547 | Received 28 Nov 2013, Accepted 03 Apr 2014, Published online: 06 May 2014

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Gaurav Mittal & Ankik Kumar Giri. (2022) A novel two-point gradient method for regularization of inverse problems in Banach spaces. Applicable Analysis 101:18, pages 6596-6622.
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Zhenwu Fu, Yong Chen & Bo Han. (2022) REGINN-IT method with general convex penalty terms for nonlinear inverse problems. Applicable Analysis 101:17, pages 5949-5973.
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Articles from other publishers (13)

Pallavi Mahale & Farheen M. Shaikh. (2023) Simplified REGINN-IT method in Banach spaces for nonlinear ill-posed operator equations. Journal of Inverse and Ill-posed Problems 0:0.
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Guangyu Gao, Bo HanZhenwu Fu & Shanshan Tong. (2023) A Fast Data-Driven Iteratively Regularized Method with Convex Penalty for Solving Ill-Posed Problems. SIAM Journal on Imaging Sciences 16:2, pages 640-670.
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Ruixue Gu, Hongsun Fu & Bo Han. (2022) Generalized inexact Newton regularization for nonlinear ill-posed problems in Banach spaces. Inverse Problems.
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M. Žic, L. Vlašić, V. Subotić, S. Pereverzyev, I. Fajfar & M. Kunaver. (2022) Extraction of Distribution Function of Relaxation Times by using Levenberg-Marquardt Algorithm: A New Approach to Apply a Discretization Error Free Jacobian Matrix. Journal of The Electrochemical Society 169:3, pages 030508.
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Yuxin Xia, Bo Han & Zhenwu Fu. (2021) An accelerated homotopy perturbation iteration for nonlinear ill-posed problems in Banach spaces with uniformly convex penalty. Inverse Problems 37:10, pages 105003.
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Shanshan Tong, Wei Wang & Bo Han. (2021) Accelerated homotopy perturbation iteration method for a non-smooth nonlinear ill-posed problem. Applied Numerical Mathematics.
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Bin Fan & Chuanju Xu. (2021) Inexact Newton regularization combined with two-point gradient methods for nonlinear ill-posed problems * . Inverse Problems 37:4, pages 045007.
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Ruixue Gu, Bo Han, Shanshan Tong & Yong Chen. (2021) An accelerated Kaczmarz type method for nonlinear inverse problems in Banach spaces with uniformly convex penalty. Journal of Computational and Applied Mathematics 385, pages 113211.
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Ruixue Gu & Bo Han. (2021) Inexact Newton regularization in Banach spaces based on two-point gradient method with uniformly convex penalty terms. Applied Numerical Mathematics 160, pages 122-145.
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Shanshan Tong, Bo Han, Haie Long & Ruixue Gu. (2019) An accelerated sequential subspace optimization method based on homotopy perturbation iteration for nonlinear ill-posed problems. Inverse Problems 35:12, pages 125005.
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Ruixue Gu, Bo Han & Yong Chen. (2019) Fast subspace optimization method for nonlinear inverse problems in Banach spaces with uniformly convex penalty terms. Inverse Problems 35:12, pages 125011.
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Min Zhong, Wei Wang & Qinian Jin. (2019) Regularization of inverse problems by two-point gradient methods in Banach spaces. Numerische Mathematik 143:3, pages 713-747.
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Qinian Jin. (2016) Landweber-Kaczmarz method in Banach spaces with inexact inner solvers. Inverse Problems 32:10, pages 104005.
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