fully indecomposable matrix
An n×n matrix A that contains an s×(n-s) zero submatrix
for some positive integer s is said to be partly decomposable. If no such submatrix exists then A
is said to be it fully indecomposable.
By convention, a 1×1 matrix is fully indecomposable if it is nonzero.
A is nearly decomposable if it fully indecomposable but whenever a nonzero entry is changed to 0 the resulting matrix is partly decomposable.
| Title | fully indecomposable matrix |
|---|---|
| Canonical name | FullyIndecomposableMatrix |
| Date of creation | 2013-03-22 15:58:56 |
| Last modified on | 2013-03-22 15:58:56 |
| Owner | Mathprof (13753) |
| Last modified by | Mathprof (13753) |
| Numerical id | 10 |
| Author | Mathprof (13753) |
| Entry type | Definition |
| Classification | msc 15A57 |
| Defines | nearly decomposable |
| Defines | partly decomposable |
| Defines | fully indecomposable |