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Backward error analysis of the Lanczos bidiagonalization with reorthogonalization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 卷号: 460, 页码: 17
作者:  Li, Haibo;  Tan, Guangming;  Zhao, Tong
收藏  |  浏览/下载:45/0  |  提交时间:2025/06/25
Lanczos bidiagonalization  Rounding error  Reorthogonalization  Backward error analysis  Householder transformation  Singular value decomposition  LSQR  
Double Precision is not Necessary for LSQR for Solving Discrete Linear Ill-Posed Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2024, 卷号: 98, 期号: 3, 页码: 30
作者:  Li, Haibo
收藏  |  浏览/下载:80/0  |  提交时间:2024/05/20
Mixed precision  Linear ill-posed problem  Regularization  LSQR  Roundoff unit  Semi-convergence  
THE JOINT BIDIAGONALIZATION OF A MATRIX PAIR WITH INACCURATE INNER ITERATIONS 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2024, 卷号: 45, 期号: 1, 页码: 232-259
作者:  Li, Haibo
收藏  |  浏览/下载:79/0  |  提交时间:2024/05/20
joint bidiagonalization  GSVD  inner iteration  stopping tolerance  Lanczos bidiag- onalization  convergence and accuracy