primitive matrix

A nonnegative square matrixMathworldPlanetmath A=(aij) is said to be a if there exists k such that Ak0, i.e., if there exists k such that for all i,j, the (i,j) entry of Ak is positive.

A sufficient condition for a matrix to be a primitive matrix is for the matrix to be a nonnegative, irreducible matrixMathworldPlanetmath with a positive elementPlanetmathPlanetmath on the main diagonal.

Title primitive matrix
Canonical name PrimitiveMatrix
Date of creation 2013-03-22 13:18:18
Last modified on 2013-03-22 13:18:18
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 12
Author Mathprof (13753)
Entry type Definition
Classification msc 15A51
Classification msc 15A48