Research Reports from the Department of Operations
Document Type
Report
Publication Date
12-1-1975
Abstract
It is proven that a finite non-negative matrix is infinitely divisible if and only if it can be imbedded in a continuous semigroup of non-negative matrices. A result by Doeblin and Doob, that every halfgroup of finite Markov matrices is continuous, is extended to finite non-negative matrices. Canonical forms are given for halfgroups of finite (possibly complex-valued) matrices and for commutating systems of finite non-negative matrices.
Keywords
Operations research, Non-negative matrices, Markov processes, Mathematical analysis, Transformations (Mathematics)
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 370
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Ott, Teunis J., "Infinitely Divisible Non-Negative Matrices" (1975). Research Reports from the Department of Operations. 246.
https://commons.case.edu/wsom-ops-reports/246