9 citations · 21 across the 5 of their papers we have counts for
6 papers
A preconditioned Krylov subspace method for linear inverse problems with general-form Tikhonov regularization
Haibo Li
Tikhonov regularization is a widely used technique in solving inverse problems that can enforce prior properties on the desired solution. In this paper, we propose a Krylov subspac…
The joint bidiagonalization of a matrix pair with inaccurate inner iterations
Haibo Li
The joint bidiagonalization (JBD) process iteratively reduces a matrix pair to two bidiagonal forms simultaneously, which can be used for computing a partial generalized…
Backward error analysis of the Lanczos bidiagonalization with reorthogonalization
Haibo Li, Guangming Tan, Tong Zhao
The -step Lanczos bidiagonalization reduces a matrix into a bidiagonal form while generates two orthonormal matri…
Double precision is not necessary for LSQR for solving discrete linear ill-posed problems
Haibo Li
The growing availability and usage of low precision foating point formats has attracts many interests of developing lower or mixed precision algorithms for scientific computing pro…
The joint bidiagonalization process with partial reorthogonalization
Zhongxiao Jia, Haibo Li
The joint bidiagonalization(JBD) process is a useful algorithm for the computation of the generalized singular value decomposition(GSVD) of a matrix pair. However, it always suffer…
The joint bidiagonalization method for large GSVD computations in finite precision
Zhongxiao Jia, Haibo Li
The joint bidiagonalization (JBD) method has been used to compute some extreme generalized singular values and vectors of a large regular matrix pair , where we propose th…