LINEAR-OPERATORS WHICH PRESERVE SIGN-NONSINGULAR MATRICES

Authors
BEASLEY LB YE SM
Citation
Lb. Beasley et Sm. Ye, LINEAR-OPERATORS WHICH PRESERVE SIGN-NONSINGULAR MATRICES, Linear algebra and its applications, 217, 1995, pp. 15-29
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
217
Year of publication
1995
Pages
15 - 29
Database
ISI
SICI code
0024-3795(1995)217:<15:LWPSM>2.0.ZU;2-9
Abstract
We characterize the linear operators that preserve the set of sign-non singular matrices. We show that if a linear operator T preserves the s et of sign-nonsingular matrices, then T preserves the set of matrices of term rank 1. Then by a result of Beasley and Pullman on preservers of matrices of term rank 1, we can obtain the structure of T.