20 citations · 54 across the 15 of their papers we have counts for
6 papers · 1 filter
A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel
Xue-lei Lin, Michael K. Ng, Yajing Zhi
In this paper, we study a parallel-in-time (PinT) algorithm for all-at-once system from a non-local evolutionary equation with weakly singular kernel where the temporal term involv…
Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices
Guangjing Song, Weiyang Ding, Michael K. Ng
Quaternion matrices are employed successfully in many color image processing applications. In particular, a pure quaternion matrix can be used to represent red, green and blue chan…
New Formulation and Computation for Generalized Singular Values of Grassman Matrix Pair
Wei-Wei Xu, Michael K. Ng, Zheng-Jian Bai
In this paper, we derive new model formulations for computing generalized singular values of a Grassman matrix pair. These new formulations make use of truncated filter matrices to…
Fast Alternating Projections on Manifolds Based on Tangent Spaces
Guangjing Song, Michael K. Ng
In this paper, we study alternating projections on nontangential manifolds based on the tangent spaces. The main motivation is that the projection of a point onto a manifold can be…
Fast and High-order Accuracy Numerical Methods for Time-Dependent Nonlocal Problems in $\mathbb{R}^2
Rongjun Cao, Minghua Chen, Michael K. Ng +1
In this paper, we study the Crank-Nicolson method for temporal dimension and the piecewise quadratic polynomial collocation method for spatial dimensions of time-dependent nonlocal…
Singular Vectors From Singular Values
Weiwei Xu, Michael K. Ng
In the recent paper \cite{1}, Denton et al. provided the eigenvector-eigenvalue identity for Hermitian matrices, and a survey was also given for such identity in the literature. Th…