A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization

Type: Article

Publication Date: 2020-06-15

Citations: 15

DOI: https://doi.org/10.1016/j.apnum.2020.06.001

Locations

  • Applied Numerical Mathematics - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ On inner iterations of the joint bidiagonalization based algorithms for solving large scale ill-posed problems 2020 Haibo Li
+ On inner iterations of the joint bidiagonalization based algorithms for solving large scale linear discrete ill-posed problems. 2020 Haibo Li
+ A preconditioned Krylov subspace method for linear inverse problems with general-form Tikhonov regularization 2023 Haibo Li
+ An iterative method for Tikhonov regularization with a general linear regularization operator 2010 Michiel E. Hochstenbach
Lothar Reichel
+ PDF Chat Hybrid LSMR algorithms for large-scale general-form regularization 2024 Yanfei Yang
+ Tikhonov regularization with MTRSVD method for solving large-scale discrete ill-posed problems 2021 Guang-Xin Huang
Yuanyuan Liu
Feng Yin
+ Tikhonov Regularization and Randomized GSVD 2016 Yimin Wei
Pengpeng Xie
Liping Zhang
+ PDF Chat Regularization with randomized SVD for large-scale discrete inverse problems 2013 Hua Xiang
Jun Zou
+ Generalizing the SVD of a matrix under non-standard inner product and its applications to linear ill-posed problems 2023 Haibo Li
+ PDF Chat Regularization Total Least Squares and Randomized Algorithms 2024 Zhanshan Yang
Xi-Lan Liu
Tiexiang Li
+ Comparison of Direct Regularization Methods of Ill-conditioned Problems Solution 2011 Fan Juan
+ PDF Chat A hybrid regularization model for linear inverse problems 2022 Ximing Fang
+ Hybrid CGME and TCGME algorithms for large-scale general-form regularization 2023 Yanfei Yang
+ A Projection‐Based Approach to General‐Form Tikhonov Regularization 2007 Misha E. Kilmer
Per Christian Hansen
Malena I. Español
+ The Regularization Theory of the Krylov Iterative Solvers LSQR, CGLS, LSMR and CGME For Linear Discrete Ill-Posed Problems 2016 Zhongxiao Jia
+ The joint bidiagonalization of a matrix pair with inaccurate inner iterations 2023 Haibo Li
+ A dual based semismooth Newton method for a class of sparse Tikhonov regularization 2020 Ning Zhang
+ PDF Chat Two-sided uniformly randomized GSVD for large-scale discrete ill-posed problems with Tikhonov regularizations 2024 Weiwei Xu
Weijie Shen
Zheng‐Jian Bai
+ Tikhonov regularization with conjugate gradient least squares method for large-scale discrete ill-posed problem in image restoration 2024 Wenli Wang
Gangrong Qu
Caiqin Song
Youran Ge
Yuhan Liu
+ PDF Chat Regularization properties of LSQR for linear discrete ill-posed problems in the multiple singular value case and best, near best and general low rank approximations 2020 Zhongxiao Jia

Works That Cite This (14)

Action Title Year Authors
+ PDF Chat The joint bidiagonalization process with partial reorthogonalization 2021 Zhongxiao Jia
Haibo Li
+ PDF Chat A Preconditioned Krylov Subspace Method for Linear Inverse Problems with General-Form Tikhonov Regularization 2024 Haibo Li
+ PDF Chat On choices of formulations of computing the generalized singular value decomposition of a large matrix pair 2020 Jinzhi Huang
Zhongxiao Jia
+ A rounding error analysis of the joint bidiagonalization process with applications to the GSVD computation. 2019 Haibo Li
+ Thick-restarted joint Lanczos bidiagonalization for the GSVD 2023 Fernando Alvarruiz
Carmen Campos
José E. Román
+ On inner iterations of the joint bidiagonalization based algorithms for solving large scale ill-posed problems 2020 Haibo Li
+ PDF Chat Regularization properties of LSQR for linear discrete ill-posed problems in the multiple singular value case and best, near best and general low rank approximations 2020 Zhongxiao Jia
+ Tikhonov regularization with conjugate gradient least squares method for large-scale discrete ill-posed problem in image restoration 2024 Wenli Wang
Gangrong Qu
Caiqin Song
Youran Ge
Yuhan Liu
+ A cross-product free Jacobi-Davidson type method for computing a partial generalized singular value decomposition (GSVD) of a large matrix pair. 2020 Jinzhi Huang
Zhongxiao Jia
+ PDF Chat Two Harmonic Jacobi–Davidson Methods for Computing a Partial Generalized Singular Value Decomposition of a Large Matrix Pair 2022 Jinzhi Huang
Zhongxiao Jia