向华 - 武汉大学 - 湖北国家应用数学中心

个人简介

2015年11月至今，武汉大学数学与统计学院，教授 2008年12月-2015年11月，武汉大学数学与统计学院，副教授 2006年7月-2008年11月，武汉大学数学与统计学院，讲师 2009年1月-2009年12月，巴黎六大Lions实验室, 博士后 2007年1月-2008年8月，法国国家信息与自动化研究院INRIA, 博士后

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

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

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.