29 citations · 73 across the 13 of their papers we have counts for
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math.NA2017★ 2 cited
Preconditioning for Accurate Solutions of Linear Systems and Eigenvalue Problems
Qiang Ye
This paper develops the preconditioning technique as a method to address the accuracy issue caused by ill-conditioning. Given a preconditioner for an ill-conditioned linear sys…
math.NA2016★ 3 cited
Error Bounds for the Krylov Subspace Methods for Computations of Matrix Exponentials
Hao Wang, Qiang Ye
In this paper, we present new a posteriori and a priori error bounds for the Krylov subspace methods for computing for a given and , where is a larg…
math.NA2015
Accurate Inverses for Computing Eigenvalues of Extremely Ill-conditioned Matrices and Differential Operators
Qiang Ye
This paper is concerned with computations of a few smaller eigenvalues (in absolute value) of a large extremely ill-conditioned matrix. It is shown that smaller eigenvalues can be…