Document Type
Article
Department/Program
Mathematics
Journal Title
Linear Algebra and Its Applications
Pub Date
2009
Volume
430
Issue
12-Nov
First Page
3030
Abstract
An n-by-n real matrix is called a Newton matrix (and its eigenvalues a Newton spectrum) if the normalized coefficients of its characteristic polynomial satisfy the Newton inequalities. A number of basic observations are made about Newton matrices, including closure under inversion, and then it is shown that a Newton matrix with nonnegative coefficients remains Newton under right translations. Those matrices that become (and stay) Newton under translation are characterized. In particular, Newton spectra in low dimensions are characterized. (C) 2009 Elsevier Inc. All rights reserved.
Recommended Citation
Pisonero, M.; Johnson, C. R.; and Pisonero, M., Matrices and spectra satisfying the Newton inequalities (2009). Linear Algebra and Its Applications, 430(12-Nov), 3030-3046.
10.1016/j.laa.2009.01.019
DOI
10.1016/j.laa.2009.01.019
