Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598524 | Linear Algebra and its Applications | 2016 | 12 Pages |
Abstract
A square matrix is called stochastic (or row-stochastic) if it is non-negative and has each row sum equal to unity. Here, we constitute an eigenvalue localization theorem for a stochastic matrix, by using its principal submatrices. As an application, we provide a suitable bound for the eigenvalues, other than unity, of the Randić matrix of a connected graph.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anirban Banerjee, Ranjit Mehatari,