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math.NA2023
Generalizing the SVD of a matrix under non-standard inner product and its applications to linear ill-posed problems
Haibo Li
The singular value decomposition (SVD) of a matrix is a powerful tool for many matrix computation problems. In this paper, we consider generalizing the standard SVD to analyze and…
math.NA2023
Subspace projection regularization for large-scale Bayesian linear inverse problems
Haibo Li
The Bayesian statistical framework provides a systematic approach to enhance the regularization model by incorporating prior information about the desired solution. For the Bayesia…