Speaker：Zhengda Huang (Zhejiang University)

Time：2019-04-13,10:00

Location：Conference Room 661 at the 6th floor of Shuli Building at Haiyun Campus

Abstract: It is shown that the matrix sequence generated by direactional Euler's method starting from the identity matrix converges to the principal pth root of a square matrix, if all the eigenvalues of the matrix are in a region that  includes the one for Newton's method given in [C. Guo, Linear Algebra Appl. 432 (2010) 1905-1922]. The convergence is cubic if the matrix is invertible. A modification version of Euler's method using the Schur decomposition is developed. Numerical experiments show that the modified algorithm has the overall good numerical behavior.