# PATHS OF MATRICES WITH THE STRONG PERRON-FROBENIUS PROPERTY CONVERGING TO A GIVEN MATRIX WITH THE PERRON-FROBENIUS PROPERTY ∗

@article{Elhashash2009PATHSOM, title={PATHS OF MATRICES WITH THE STRONG PERRON-FROBENIUS PROPERTY CONVERGING TO A GIVEN MATRIX WITH THE PERRON-FROBENIUS PROPERTY ∗}, author={Abed Elhashash and Uriel G. Rothblum and Daniel B. Szyld}, journal={Electronic Journal of Linear Algebra}, year={2009}, volume={19}, pages={3} }

A matrix is said to have the Perron-Frobenius property (strong Perron-Frobenius property) if its spectral radius is an eigenvalue (a simple positive and strictly dominant eigenvalue) with a corresponding semipositive (positive) eigenvector. It is known that a matrix A with the Perron-Frobenius property can always be the limit of a sequence of matrices A(e) with the strong Perron-Frobenius property such thatA − A(e) �≤ e. In this note, the form that the parameterized matrices A(e) and their…

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