Regularity of matrices in min-algebra and its time- complexity
✍ Scribed by P. Butkovič
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 437 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
The problem of the strong regularity of a square matrix in a general max-min algebra is considered and a necessary and sufficient condition using the trapezoidal property is described. The results are valid without any restrictions on the underlying max-min algebra, concerning the density, or the bo
A speed-up of a known O(n 3 ) algorithm computing the period of a periodic orbit in max-min algebra is presented. If the critical components (or the transitive closure A + ) of the transition matrix A are known, the computational complexity of the algorithm is O(n 2 ). This is achieved by using only