218 citations · 1.3k across the 35 of their papers we have counts for
19 papers · 1 filter
Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations
Huan-Yan Jian, Ting-Zhu Huang, Xian-Ming Gu +2
In this paper, fast numerical methods are established for solving a class of time distributed-order and Riesz space fractional diffusion-wave equations. We derive new difference sc…
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…
A note on Dodgson's determinant condensation algorithm
Hou-biao Li, Hong Li, Ting-zhu Huang
Recently, the Dodgson's determinant condensation algorithm was revisited in many papers [College Math. Journal 42(1)(2011): 43--54, College Math. Journal 38(2)(2007): 85--95, Math…
A fast second-order accurate difference schemes for time distributed-order and Riesz space fractional diffusion equations
Huan-Yan Jian, Ting-Zhu Huang, Xi-Le Zhao +1
The aim of this paper is to develop fast second-order accurate difference schemes for solving one- and two-dimensional time distributed-order and Riesz space fractional diffusion e…
Multi-dimensional imaging data recovery via minimizing the partial sum of tubal nuclear norm
Tai-Xiang Jiang, Ting-Zhu Huang, Xi-Le Zhao +1
In this paper, we investigate tensor recovery problems within the tensor singular value decomposition (t-SVD) framework. We propose the partial sum of the tubal nuclear norm (PSTNN…
A fast second-order implicit difference method for time-space fractional advection-diffusion equation
Yong-Liang Zhao, Ting-Zhu Huang, Xian-Ming Gu +1
In this paper, we consider a fast and second-order implicit difference method for approximation of a class of time-space fractional variable coefficients advection-diffusion equati…
Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously
Xian-Ming Gu, Ting-Zhu Huang, Bruno Carpentieri +3
Multi-shifted linear systems with non-Hermitian coefficient matrices arise in numerical solutions of time-dependent partial/fractional differential equations (PDEs/FDEs), in contro…
Fast iterative method with a second order implicit difference scheme for time-space fractional convection-diffusion equations
Xian-Ming Gu, Ting-Zhu Huang, Cui-Cui Ji +2
In this paper we want to propose practical numerical methods to solve a class of initial-boundary problem of time-space fractional convection-diffusion equations (TSFCDEs). To star…
Block variants of the COCG and COCR methods for solving complex symmetric linear systems with multiple right-hand sides
Xian-Ming Gu, Bruno Carpentieri, Ting-Zhu Huang +1
In the present study, we establish two new block variants of the Conjugate Orthogonal Conjugate Gradient (COCG) and the Conjugate A-Orthogonal Conjugate Residual (COCR) Krylov subs…
A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems
Yiming Bu, Bruno Carpentieri, Zhaoli Shen +1
In this paper we introduce an algebraic recursive multilevel incomplete factorization preconditioner, based on a distributed Schur complement formulation, for solving general linea…
Restarted Hessenberg method for solving shifted nonsymmetric linear systems
Xian-Ming Gu, Ting-Zhu Huang, Guojian Yin +3
It is known that the restarted full orthogonalization method (FOM) outperforms the restarted generalized minimum residual (GMRES) method in several circumstances for solving shifte…
Regularization preconditioners for frame-based image deblurring with reduced boundary artifacts
Yuantao Cai, Marco Donatelli, Davide Bianchi +1
Thresholding iterative methods are recently successfully applied to image deblurring problems. In this paper, we investigate the modified linearized Bregman algorithm (MLBA) used i…
Enhanced joint sparsity via Iterative Support Detection
Yaru Fan, Yilun Wang, Tingzhu Huang
Joint sparsity has attracted considerable attention in recent years in many fields including sparse signal recovery in compressed sensing (CS), statistics, and machine learning. Tr…
From Sylvester's determinant identity to Cramer's rule
Hou-biao Li, Ting-Zhu Huang, Tong-xiang Gu +1
The object of this paper is to introduce a new and fascinating method of solving large linear equations, based on Cramer's rule or Gaussian elimination but employing Sylvester's de…
Two CSCS-based iteration methods for solving absolute value equations
Xian-Ming Gu, Ting-Zhu Huang, Hou-Biao Li +2
Recently, two families of HSS-based iteration methods are constructed for solving the system of absolute value equations (AVEs), which is a class of non-differentiable NP-hard prob…
Total variation with overlapping group sparsity for image deblurring under impulse noise
Gang Liu, Ting-Zhu Huang, Jun Liu +1
The total variation (TV) regularization method is an effective method for image deblurring in preserving edges. However, the TV based solutions usually have some staircase effects.…
New explicit thresholding/shrinkage formulas for one class of regularization problems with overlapping group sparsity and their applications
Gang Liu, Ting-Zhu Huang, Xiao-Guang Lv +1
The least-square regression problems or inverse problems have been widely studied in many fields such as compressive sensing, signal processing, and image processing. To solve this…
Strang-type preconditioners for solving fractional diffusion equations by boundary value methods
Xian-Ming Gu, Ting-Zhu Huang, Xi-Le Zhao +2
The finite difference scheme with the shifted Grünwarld formula is employed to semi-discrete the fractional diffusion equations. This spatial discretization can reduce to the large…
A class of linear solvers built on the Biconjugate A-Orthonormalization Procedure for solving unsymmetric linear systems
B. Carpentieri, Y. -F. Jing, T. -Z. Huang +1
We present economical iterative algorithms built on the Biconjugate -Orthonormalization Procedure for real unsymmetric and complex non-Hermitian systems. The principal character…