IMASL 20939
INSTITUTO DE MATEMATICA APLICADA DE SAN LUIS "PROF. EZIO MARCHI"
Unidad Ejecutora - UE
artículos
Título:
On the structure of the set of symmetric matrices with the Perron–Frobenius property
Autor/es:
TARAZAGA, PABLO
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Año: 2018 vol. 549 p. 219 - 232
ISSN:
0024-3795
Resumen:
In this paper we explore the geometry of the set of symmetric Perron?Frobenius matrices, whose spectral radius is an eigenvalue with a nonnegative associated eigenvector. We prove that the set, which is not convex, is star convex with the identity matrix as the center. We also describe a few aspects of the geometric structure of the set.
