Reducible Sign K-Potent Sign Pattern Matrices

Authors

Jeffrey Stuart, University of Southern MississippiFollow

Document Type

Article

Publication Date

6-15-1999

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

The sign pattern matrix A is called sign k-potent if k is the smallest positive integer such that A^k+1 = A. The structure of irreducible, sign k-potent pattern matrices was characterized by Stuart et al. (J. Stuart, C. Eschenbach, S. Kirkland, Linear Algebra Appl. 294 (1999) 85–92). We extend those results to the reducible case, providing necessary conditions that characterize the structure of each off-diagonal block of the Frobenius normal form of a reducible, sign k-potent matrix.

Publication Title

Linear Algebra and Its Applications

Volume

294

Issue

41277

First Page

197

Last Page

211

Recommended Citation

Stuart, J. (1999). Reducible Sign K-Potent Sign Pattern Matrices. Linear Algebra and Its Applications, 294(41277), 197-211.
Available at: https://aquila.usm.edu/fac_pubs/4677