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20082026
most citedFramelet Representation of Tensor Nuclear Norm for Third-Order Tensor Completion

185 citations

Showing 2019 · math.NAShow all

8 papers · 2 filters

math.NA2019★ 31 cited

A fast implicit difference scheme for solving the generalized time-space fractional diffusion equations with variable coefficients

Xian-Ming Gu, Ting-Zhu Huang, Yong-Liang Zhao +2

In this paper, we first propose an unconditionally stable implicit difference scheme for solving generalized time-space fractional diffusion equations (GTSFDEs) with variable coeff…

math.NA2019★ 3 cited

Randomized algorithms for the low multilinear rank approximations of tensors

Maolin Che, Yimin Wei, Hong Yan

In this paper, we focus on developing randomized algorithms for the computation of low multilinear rank approximations of tensors based on the random projection and the singular va…

math.NA2019★ 8 cited

A Hessenberg-type Algorithm for Computing PageRank Problems

Xian-Ming Gu, Siu-Long Lei, Ke Zhang +3

PageRank is a widespread model for analysing the relative relevance of nodes within large graphs arising in several applications. In the current paper, we present a cost-effective…

math.NA2019★ 2 cited

Fast Cadzow's Algorithm and a Gradient Variant

Haifeng Wang, Jian-Feng Cai, Tianming Wang +1

The Cadzow's algorithm is a signal denoising and recovery method which was designed for signals corresponding to low rank Hankel matrices. In this paper we first introduce a Fast C…

math.NA2019★ 5 cited

An implicit integration factor method for a kind of spatial fractional diffusion equations

Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu +2

A kind of spatial fractional diffusion equations in this paper are studied. Firstly, an L1 formula is employed for the spatial discretization of the equations. Then, a second order…

math.NA2019

An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients

Xue-lei Lin, Pin Lyu, Michael K. Ng +2

In this paper, a second order finite difference scheme is investigated for time-dependent one-side space fractional diffusion equations with variable coefficients. The existing sch…

math.NA2019

A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation

Pin Lyu, Yuxiang Liang, Zhibo Wang

In this paper, we study a fast and linearized finite difference method to solve the nonlinear time-fractional wave equation with multi fractional orders. We first propose a discret…

math.NA2019★ 38 cited

A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation

Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu +2

An all-at-once linear system arising from the nonlinear tempered fractional diffusion equation with variable coefficients is studied. Firstly, the nonlinear and linearized implicit…