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Total nonpositivity of nonsingular matrices
Authors:Rong Huang
Institution:a School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China
b Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Singapore
Abstract:In this paper, nonsingular totally nonpositive matrices are studied and new characterizations are provided in terms of the signs of minors with consecutive initial rows or consecutive initial columns. These characterizations extend an existing characterization that uses some restrictive hypotheses.
Keywords:15A18  15A42  15A57
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