P 0-matrix products of matrices

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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. © 2012 Springer-Verlag Berlin Heidelberg.

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Banaji, M. (2012). P 0-matrix products of matrices. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6479 LNCS, pp. 1–17). https://doi.org/10.1007/978-3-642-28067-2_1

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