向华 照片

向华

教授 博导

所属大学: 武汉大学

所属学院: 湖北国家应用数学中心

邮箱:
hxiang@whu.edu.cn

个人主页:
https://jszy.whu.edu.cn/xianghua/zh_CN/

个人简介

教育经历 - 1995.9 - 1999.6,哈尔滨工程大学,船舶与海洋工程系,学士 - 1999.9 - 2002.6,中国科学院力学研究所,流体力学,硕士 - 2003.9 - 2006.6,复旦大学,计算数学,博士 工作经历 - 2006.7 - 2008.12,武汉大学,数学与统计学院,讲师 - 2008.12 - 2015.11,武汉大学,数学与统计学院,副教授 - 2015.11 - 至今,武汉大学,数学与统计学院,教授

研究领域

长期以来主要从事数值代数、量子计算、反问题等领域的理论分析与计算。

近期论文

C. Shao, H. Xiang, Quantum regularized least squares solver with parameter estimate, Quantum Information Processing, (2020) 19:113. C. Shao, H. Xiang, Quantum circulant preconditioner for linear system of equations, Physical Review A, 98, 062321 (2018). H. Xiang, J. Zou, Randomized algorithms for large-scale inverse problems with general Tikhonov regularizations, Inverse Problems, 31 (2015), 085008 (24pp). J. Demmel, L. Grigori, M. Gu, H. Xiang, Communication avoiding rank revealing QR factorization with column pivoting, SIAM Journal on Matrix Analysis and Applications, 36(1), pp 55-89, 2015. H. Xiang, F. Nataf, Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections, Journal of Computational and Applied Mathematics, 261 (2014), pp. 1-13. H. Xiang, J. Zou, Regularization with randomized SVD for large-scale discrete inverse problems, Inverse Problems, 29 (2013), 085008(23pp). P. Have, R. Masson, F. Nataf, M. Szydlarski, H. Xiang, T. Zhao, Algebraic domain decomposition methods for highly heterogeneous problems, SIAM Journal on Scientific Computing, 35 (2013), pp. C284–C302. L. Grigori, J. Demmel, and H. Xiang, CALU: a communication optimal LU factorization algorithm, SIAM Journal on Matrix Analysis and Applications, 32 (2011), pp. 1317-1350. F. Nataf, H. Xiang, V. Dolean, N. Spillane, A coarse space construction based on local Dirichlet-to-Neumann maps, SIAM Journal on Scientific Computing, 33 (2011), pp. 1623-1642. L. Grigori, J. Demmel, H. Xiang, Communication avoiding Gaussian elimination, SC’08, Proceedings of the 2008 ACM/IEEE conference on Supercomputing, 2008, pp.1-12. H. Xiang, Y. Wei, On normwise structured backward errors for saddle point systems, SIAM Journal on Matrix Analysis and Applications, 29(2007), pp. 838-849.