✦ LIBER ✦
Linear operators strongly preserving natrices whose sign patterns require the perron property
✍ Scribed by Sang-Gu Lee; Se-Won Park; Han-Guk Seol
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 630 KB
- Volume
- 269
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
We say that a sign-pattern matrix of R requires the Perron property if every real matrix A in Q(B) satisfies the Perron property. We characterize the linear operators that strongly preserve matrices whose sign patterns require the Perron property. We
show that any such linear operator T is nonsingular and can be written as the direct sum of two linear operators, the first acting on diagonal matrices and the second acting on matrices with diagonal entries all zero.