5 papers · 1 filter
Data-informed posterior approximation for Bayesian linear inverse problems
Haibo Li
Computing posterior distributions in large-scale Bayesian linear inverse problems is challenging due to the high dimensionality of the parameter space. In this work, we develop a d…
Krylov iterative methods for linear least squares problems with linear equality constraints
Haibo Li
We consider the linear least squares problem with linear equality constraints (LSE problem) formulated as . Although t…
A new interpretation of the weighted pseudoinverse and its applications
Haibo Li
Consider the generalized linear least squares (GLS) problem . The weighted pseudoinverse is the matrix that maps t…
Characterizing GSVD by singular value expansion of linear operators and its computation
Haibo Li
The generalized singular value decomposition (GSVD) of a matrix pair with and generalizes the singular value de…
On inner iterations of the joint bidiagonalization based algorithms for solving large scale ill-posed problems
Haibo Li
The joint bidiagonalization process of a matrix pair can be used to develop iterative regularization algorithms for large scale ill-posed problems in general-form Tikhono…