個人簡介
李厚彪：男，電子科技大學計算數學碩士，套用數學博士，北京套用物理與計算數學研究所博士後，美國威廉瑪麗學院國家公派訪問學者。目前，副教授職稱。
研究方向
數值代數、圖像處理、模式識別與目標追蹤
教育背景
2013/2 - 2014/2，美國威廉瑪麗學院，國家公派訪問學者
2008/6 - 2010/8，北京套用物理與計算數學研究所，博士後
2004/9 - 2007/6，電子科技大學，套用數學，博士
2002/9 - 2005/3，電子科技大學，計算數學，碩士
論文專著
發表學術論文40餘篇,其中SCI期刊論文30多篇，中論文被SCI期刊他引115次。相關論文連結請見
[1] Hou-biao Li, Ting-zhu Huang, etc., Chebyshev-type methods and preconditioning techniques, Applied Mathematics and Computation, 218 (2011) 260–270.
[2] Hou-biao Li, Ting-Zhu Huang, Xing-Ping Liu, Hong Li, On the inverses of general tridiagonal matrices, Linear Algebra and its Applications, 2010,433(5): 965-983.
[3] Hou-biao Li, Ting-Zhu Huang, Xing-Ping Liu, Hong Li, Singularity, Wielandt's lemma and singular values, Journal of Computational and Applied Mathematics, 2010, 234(10): 2943-2952.
[4] Hou-biao Li, Ting-zhu Huang, Yong Zhang, Xing-ping Liu. On some new approximate factorization methods for block tridiagonal matrices suitable for vector and parallel processors. Mathematics and Computers in Simulation, 2009, 79: 2135-2147.
[5] Hou-biao Li, Ting-zhu Huang, Hong Li. Some New Results on Determinantal Inequalities and Applications, Journal of Inequalities and Applications, Volume 2010, Article ID 847357, 16 pages.
[6] Hou-biao Li, Ting-zhu Huang, Shu-qian Shen, Hong Li. Lower bounds for the minimum eigenvalue of Hadamard product of an M-matrix and its inverse. Linear Algebra and its Applications, 2007,421(1): 235-247.
[7] Hou-biao Li, Ting-zhu Huang, Hong Li. On some subclasses of P-matrices. Numerical Linear Algebra with Applications, 2007, 14(5): 391-405.
[8] Hou-biao Li, Ting-zhu Huang, Hong Li. Inclusion sets for singular values. Linear Algebra and its Applications, 2008, 428(10): 2220-2235.
[9] Hou-biao Li, Ting-zhu Huang, Hong Li, Shu-qian Shen. Optimal Gerschgorin-type inclusion intervals of singular values. Numerical Linear Algebra with Applications, 2007, 14(2): 115-128.
[10] Hou-biao Li, Ting-zhu Huang. On a new criterion for the H-matrix property. Applied Mathematics Letters, 2006,19(10): 1134-1142.
[11] Hou-biao Li, Ting-zhu Huang. An improvement of Ky Fan theorem for matrix eigenvalues. Computers and Mathematics with Applications, 2005, 49(5-6): 789-803.
[12] Hou-biao Li, Ting-zhu Huang, Hong Li. An improvement on a new upper bound for moduli of eigenvalues of iterative matrices. Applied Mathematics and Computation, 2006, 173 (2): 977-984.
[13] Hong Li, Hou-biao Li, Shou-ming Zhong. Stability of neutral type descriptor system with mixed delays. Chaos,Solitons and Fractals, 2007, 33 (5): 1796-1800.
[14] Hong Li, Shou-ming Zhong, Hou-biao Li. Some new simple stability criteria of linear neutral systems with a single delay. Journal of Computational and Applied Mathematics, 2007, 200 (1): 441-447.
[15] Ting-Zhu Huang, Shu-qian Shen, Hou-biao Li. On generalized H-matrices. Linear Algebra and its Applications, 2005, 396: 81-90.
[16] Hong Li, Shou-ming Zhong, Hou-biao Li. A note on asymptoticstability of an interval neutral delay–differential system, Applied Mathematics Letters, 25(2012): 220-226.
[17] Rong-fen Ren, *Hou-biao Li, Wei Jiang, Ming-yan Song, An efficient Chebyshev-tau method for solving the space fractional diffusion equations, Applied Mathematics and Computation, 2013, 224: 259-267.
[18] Qian-Ping Guo, *Hou-biao Li, Ming-yan Song. New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices [J]. Journal of Inequalities & Applications, 2013, 2013(1):1-11.
[19] Luo Wei-Hua,*Huang Ting-Zhu, Li Hou-Biao, Zhang Yong, Wu Guo-Cheng, A numerical method and efficient preconditioner for generalized airfoil equations, Applied Mathematics and Computation, 2013, 219(24): 11451-11459.
[20] *Li Liang, Huang Ting-Zhu, Cheng Guang-Hui, JingYan-Fei, Ren Zhi-Gang, Li Hou-Biao. Solution to 3-D electromagnetic problems discretized by a hybrid FEM/MOM method, Computer Physics Communications, 2013, 184(1):73-78.
[21] *Jing Meng, *Pei-Yong Zhu, *Hou-Biao Li, A block method for linear systems with multiple right-hand sides，Journal of Computational and Applied Mathematics, 2014, 255: 544-554.
[22] *Jing Meng, *Pei-yong Zhu, *Hou-biao Li, Gu Xian-Min, A deflated block flexible GMRES-DR method for linear systems with multiple right-hand sides, Electronic Transactions on Numerical Analysis, 41(2014): 478-496.
[23] *Jing Meng, Pei-Yong Zhu, Hou-Biao Li，Deflated BiCG with an Application to Model Reduction, Mathematical Problems in Engineering, 2014, Article ID 372109, 1-8.
[24] *Gu Xian-Ming, Huang Ting-Zhu, Li Liang, Li Hou-Biao, Sogabe Tomohiro, Clemens Markus, Quasi-Minimal Residual Variants of the COCG and COCR Methods for Complex Symmetric Linear Systems in Electromagnetic Simulations, IEEE Transactions on Microwave Theory and Techniques, 2014, 62(12), 2859-2867.
[25] *Xian-Ming Gu, Ting-Zhu Huang, Xi-Le Zhao, Wei-Ru Xu, Hou-Biao Li, Liang Li, Circulant preconditioned iterative methods for peridynamic model simulation, Applied Mathematics and Computation, 2014, 248: 470-479.
[26] Gu Xian-Ming, Huang Ting-Zhu, Wei-Ru Xu, Hou-Biao Li, et al. Some refinements and generalizations of I. Schur type inequalities.[J]. Scientific World Journal, 2014, 2014(1):95-104.
[27] *Gu Xian-Ming, Huang Ting-Zhu, Meng Jing, Sogabe Tomohiro, Li Hou-Biao, Li Liang，BiCR-type methods for families of shifted linear systems, Computers & Mathematics with Applications, 2014, 68(7): 746-758.
[28] Luo Jun, Huang Ting-Zhu, *Hou-Biao Li, et al. Tree sign patterns that allow nilpotence of index 4[J]. Linear & Multilinear Algebra, 2015, 63(5):1009-1025.
[29] Xian-Ming Gu, Ting-Zhu Huang, Hou-Biao Li, Liang Li, Wei-Hua Luo, On k-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations, Applied Mathematics Letters, 2015, 42, 53-58.
[30] Hong Li, Shou-Ming Zhong, Hou-biao Li. Asymptotic stability analysis of fractional-order neutral systems with time delay[J]. Advances in Difference Equations, 2015(1):1-11.
[31] *Xian-Ming Gu, Ting-Zhu Huang, Xi-Le Zhao, Hou-Biao Li, Liang Li, Strang-type preconditioners for solving fractional diffusion equations by boundary value methods, Journal of Computational and Applied Mathematics, 2015, 277: 73-86.
[32] *Xian-Ming Gu, Ting-Zhu Huang, Xi-Le Zhao, Hou-Biao Li, Liang Li. Fast iterative solvers for numerical simulations of scattering and radiation on thin wires [J]. Journal of Electromagnetic Waves & Applications, 2015, 29(10):1281-1296.
[33] Gun Li, Zhong-yuan Liu, Hou-biao Li, et al. Target Tracking Based on Biological-Like Vision Identity via Improved Sparse Representation and Particle Filtering [J]. Cognitive Computation, 2016.1-14.
[34] *Jing Meng, Hou-Biao Li, Yan-Fei Jing. A new deflated block GCROT([formula omitted]) method for the solution of linear systems with multiple right-hand sides[J]. Journal of Computational & Applied Mathematics, 2016, 300:155-171.
[35] 黃廷祝, 李厚彪, 申淑謙. G-函式與疊代陣譜半徑的估計，數學物理學報，2007,27(5): 871-878.
[36] 李厚彪, 黃廷祝. 對角占優矩陣為非奇H-矩陣的研究[J]. 電子科技大學學報, 2007(S1):427-428.
[37] 張勇, 黃廷祝, 劉興平, 谷同祥, 李厚彪. 一種新的重排方法在二維三溫問題求解中的套用, 計算物理, 2009, 26(1): 35-41.
[38] 李厚彪, 劉興平, 谷同祥, 黃廷祝. Poisson方程有限差分逼近的兩種保對稱Stencil消元格式, 計算物理, 2010, 27(3): 335-341.
[39] 李厚彪, 鍾爾傑. 關於熱傳導方程半離散差分格式的一個註記[J]. 計算數學, 2015(4):401-414.
[40] Krylov子空間算法與預處理技術及其套用(2章)，科學出版社，2016.
研究項目
| 在科研方面主要從事數值代數與科學計算、圖像處理、模式識別與目標追蹤的相關研究工作。 主持完成國家自然科學基金2項、中國博士後科研基金和電子科技大學校青年基金各1項，在研四川省科技計畫項目1項； 參與973計畫子課題、863課題、教育部科學技術研究重點項目等6項。 |
獲獎情況
| n 黃廷祝、李厚彪、申淑謙、程光輝、李良、張勇、吳世良, 大型線性系統高效算法研究, 四川省人民政府，四川省科技進步二等獎, 2008. n 黃廷祝, 荊燕飛, 李良, 邵晉梁, 呂小光, 趙熙樂, 黃捷, 文春, 李厚彪，大規模代數系統新型快速算法及與信息科學的交叉研究，四川省人民政府, 四川省科技進步獎一等獎, 2013. n 適應高層次創新人才培養的數學學科研究生“數值代數”課程改革與創新, 電子科技大學第七屆教學成果獎二等獎，排名第一，2012年. n 以線性代數課程建設為依託，隊伍建設為保障，著力培養創新人才. 電子科技大學第七屆教學成果獎,二等獎，排名第五，2012年. n 強化工科背景的《矩陣理論》課程建設與教學方法改革, 電子科技大學第七屆教學成果獎,二等獎，排名第五，2012年. n 2015年首屆全國高校數學微課教學大賽，獲西南賽區一等獎. n 第十批四川省學術和技術帶頭人後備人選，2013年. |
