fully indecomposable matrix

An n×n matrix A that contains an s×(n-s) zero submatrixMathworldPlanetmath 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