9 citations · 13 across the 14 of their papers we have counts for
14 papers
OBK-RCM: Accelerated Orthogonal Block Kaczmarz Algorithm via RCM Reordering and Dynamic Grouping for Sparse Linear Systems
Yu-Fang Liang, Hou-Biao Li
Existing block Kaczmarz methods face challenges in balancing computational efficiency and convergence for large sparse linear systems with scattered nonzero patterns, due to costly…
Greedy double subspaces coordinate descent method via orthogonalization
Li-Li Jin, Hou-Biao Li
The coordinate descent method is an effective iterative method for solving large linear least-squares problems. In this paper, for the highly coherent columns case, we construct an…
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 note on Graphical Notation Reveals Topological Stability Criteria for Collective Dynamics in Complex Network
Peng-hui He, Hou-biao Li, Hong Li +1
This paper clarifies the main research methods and ideas of the thesis [1,2,4]. The special calculation process is also realized by corresponding computer algorithm. Finally, we in…
Techniques for Accelerating the Convergence of Restarted GMRES Based on the Projection
Hou-biao Li, Peng-hui He, Shao-Liang Zhang
In this paper, we study the restarted Krylov subspace method, which is typically represented by the GMRES(m) method. Our work mainly focused on the amount of change in the iterativ…
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…
A new deflated block GCROT() method for the solution of linear systems with multiple right-hand sides
Jing Meng, Peiyong Zhu, Houbiao Li +1
Linear systems with multiple right-hand sides arise in many applications. To solve such systems efficiently, a new deflated block GCROT() method is explored in this paper by e…
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…
Recycling BiCG for families of shifted linear systems
Jing Meng, Pei-yong Zhu, Hou-Biao Li
Many problems in science and engineering fields require the solution of shifted linear systems. To solve such systems efficiently, the recycling BiCG (RBiCG) algorithm in [SIAM J.…
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 Symmetric Rank-one Quasi Newton Method for Non-negative Matrix Factorization
Shu-Zhen Lai, Hou-Biao Li, Zu-Tao Zhang
As we all known, the nonnegative matrix factorization (NMF) is a dimension reduction method that has been widely used in image processing, text compressing and signal processing et…
A SQMRCGstab Algorithm for Families of Shifted Linear Systems
Jing Meng, Pei-yong Zhu, Hou-Biao Li
This study is mainly focused on iterative solutions to shifted linear systems arising from a Quantum Chromodynamics (QCD) problem. To solve such system efficiently, we explore a ki…
Numerical Gradient Schemes for Heat Equations Based on the Collocation Polynomial and Hermite Interpolation
Hou-Biao Li, Ming-Yan Song, Er-Jie Zhong +1
As is well-known, the advantage of the high-order compact difference scheme (H-OCD) is unconditionally stable and convergent with the order under the maximum norm. In…
A note on the growth factor in Gaussian elimination for Higham matrices
Qian-Ping Guo, Xian-Ming Gu, Hou-biao Li
The Higham matrix is a complex symmetric matrix A=B+iC, where both B and C are real, symmetric and positive definite and is the imaginary unit. For any Higha…