Inverting Matrix Using a Graph in the Theory of Dynamic Systems

1. FADEJEV, D.K., FADEJEVA, V.N., 1964. Numerické metody lineární algebry. (Numerical methods of linear algebra). Prague: SNTL.Search in Google Scholar

2. DORATO, P., 1969. On the Inverse of Linear Dynamical Systems. IEEE Transactions on systems science and cybernetics,5(1), pp. 43 – 48.10.1109/TSSC.1969.300243Search in Google Scholar

3. MASÁROVÁ, R., JUHÁS, M., JUHÁSOVÁ, B., ŠUTOVÁ, Z., 2015. Inverse Matrix in the theory of Dynamic Systems. In: ICCIT 2015, Copenhagen, Denmark, 11.-12.6.2015. pp. 1878-1881.Search in Google Scholar

4. PAVLÍKOVÁ, S., KRČ-JEDINÝ, J., 1990. On the Inverse and the Dual Index of a Tree. Linear and Multilinear Algebra, 28, pp. 93 – 109. ISSN 0308-1087.10.1080/03081089008818034Search in Google Scholar

5. PAVLÍKOVÁ, S., 2009. Extending the class matrices invertible using graphs. In: 6th Conference on Mathematics and Physics at Technical Universities 2009. Brno: UO, pp. 203 – 210. ISBN 978-80-7231-667-0.Search in Google Scholar

6. SANKOWSKI, P., 2004. Dynamic Transitive Closure via Dynamic Matrix Inverse. In: 45th Annual IEEE Symposium on Foundations of Computer Science.Search in Google Scholar

7. SILVERMAN, L. M., 1969. Inversion of Multivariable Linear Systems. IEEE Transactions on automatic controlinear, 14(3), pp. 270 – 276.10.1109/TAC.1969.1099169Search in Google Scholar

8. ŠTECHA, J., HAVLENA, V., 2005. Teorie dynamických systémú. (Theory of Dynamic Systems). Praha: ČVUT. ISBN 80-227-1586-7Search in Google Scholar

9. PAVLÍKOVÁ, S., 2016. A note on inverses of labeled graphs. Australasian Journal on Combinatorics. (in the press).Search in Google Scholar