Markov chains and M-matrices: Inequalities and equalities
β Scribed by Julian Keilson; George P.H Styan
- Book ID
- 107800238
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 830 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study non-singular ultrametric matrices A. These kinds of matrices are restrictions of non-singular tree matrices. The structure of A y1 allows us to associate to A some substochastic kernels P. We are able to describe the graph of P, in particular those vertices which lose mass. Our main tools a
We consider cases of equality in three basic inequalities for eigenvalues of Hermitian matrices: Cauchy's interlacing inequalities for principal submatrices, Weyl's inequalities for sums, and the residual theorem. Several applications generalize and sharpen known results for eigenvalues of irreducib