| Title: |
Numerical Solutions of Matrix Differential Models using Cubic Matrix Splines II |
| Authors: |
Defez, E.; Hervas, A.; Soler, L.; Tung, M. M. |
| Source: |
Math. Comp. Modelling 46 (5-6), pp. 657-669 (2007) |
| Publication Year: |
2006 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Numerical Analysis |
| Description: |
This paper presents the non-linear generalization of a previous work on matrix differential models. It focusses on the construction of approximate solutions of first-order matrix differential equations Y'(x)=f(x,Y(x)) using matrix-cubic splines. An estimation of the approximation error, an algorithm for its implementation and illustrative examples for Sylvester and Riccati matrix differential equations are given.; Comment: 14 pages; submitted to Math. Comp. Modelling |
| Document Type: |
Working Paper |
| DOI: |
10.1016/j.mcm.2006.11.027 |
| Access URL: |
http://arxiv.org/abs/math/0612202 |
| Accession Number: |
edsarx.math/0612202 |
| Database: |
arXiv |