期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 466, 期 -, 页码 21-26出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2014.09.041
关键词
Determinant; Perturbation bound; Diagonally dominant matrix; Skew-Hadamard matrix; Fredholm determinant; Maximal determinant
资金
- Australian Research Council [DP140101417]
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. The lower bounds are best possible, and in most cases they are stronger than well-known bounds due to Ostrowski and other authors. The upper bounds are best possible if a skew-Hadamard matrix of the same order exists. (C) 2014 Elsevier Inc. All rights reserved.
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