Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations
Abstract In this paper, we introduce a new iterative algorithm for solving a generalized Sylvester matrix equation of the form ∑ t = 1 p A t X B t = C $\sum_{t=1}^{p}A_{t}XB_{t}=C$ which includes a class of linear matrix equations. The objective of the algorithm is to minimize an error at each itera...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-07-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02785-9 |