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
Recommended Citation
Moak, D.
(1990).
Combinatorial multinomial matrices and multinomial stirling numbers.
Proceedings of the American Mathematical Society,
108(1), 1-8.
http://doi.org/10.1090/S0002-9939-1990-0965944-4
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9762
