Journal
APPLIED MATHEMATICS LETTERS
Volume 98, Issue -, Pages 57-62Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.05.031
Keywords
Tensor equation; Einstein product; Tensor square root; Quadratic convergence
Categories
Funding
- National Natural Science Foundation of China [11561015, 11761024]
- Natural Science Foundation of Guangxi Province, China [2016GXNSFFA380009, 2017GXNSFBA198082, 2016GXNSFAA380074]
- Guangxi Science and Technology project, China [AD18281024]
- Innovation Project of GUET Graduate Education [2019YCXS083]
Ask authors/readers for more resources
In this paper, the Newton's method is proposed for solving the tensor equation X*X-N = A. This algorithm contains only tensor computations without matricizations. The locally quadratic convergence is given. Finally, some numerical examples show that the new method is feasible. (C) 2019 Published by Elsevier Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
