The Regularization Theory of the Krylov Iterative Solvers LSQR, CGLS, LSMR and CGME For Linear Discrete Ill-Posed Problems

Zhongxiao Jia

For the large-scale linear discrete ill-posed problem $\min \Vert Ax-b\Vert$ or $Ax=b$ with $b$ contaminated by a white noise, Lanczos bidiagonalization based LSQR and its mathematically e…