P 0-Matrix Products of Matrices

Banaji, Murad (2012) P 0-Matrix Products of Matrices. In: Algebraic and Numeric Biology :. Lecture Notes in Computer Science . Springer, Berlin, pp. 1-17. ISBN 9783642280665

Abstract

The question of when the product of two matrices lies in the closure of the P-matrices is discussed. Both sufficient and necessary conditions for this to occur are derived. Such results are applicable to questions on the injectivity of functions, and consequently the possibility of multiple fixed points of maps and flows. General results and special cases are presented, and the concepts illustrated with numerous examples. Graph-theoretic corollaries to the matrix-theoretic results are touched upon.