Combinatorial multinomial matrices and multinomial stirling numbers

Document Type

Article

Publication Date

1-1-1990

Abstract

Fred C.Barnett and James R. Weaver considered the stochastic matrix.when modeling the spread of a viral infection through a population, where the virus has two forms.This can be generalized to viruses withq forms using the matrix.These matrices also appear in a different context when Konrad J. Heuvers, et al, studied the characterization of the permanent function by the Cauchy-Binet formula.In this paper, the eigenvalues and inverse of the matrix (2) are given and theexistence of a basis of right eigen vectors is established.In the process the inverse of a generalized multinomial coefficient matrix is found. © 1990 American Mathematical Society.

Publication Title

Proceedings of the American Mathematical Society

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