期刊名称:Electronic Colloquium on Computational Complexity
印刷版ISSN:1433-8092
出版年度:2016
卷号:2016
出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
摘要:Using John's Theorem, we prove a lower bound on the bounded rigidity of a sign matrix, defined as the Hamming distance between this matrix and the set of low-rank, real-valued matrices with entries bounded in absolute value. For Hadamard matrices, our asymptotic leading constant is tighter than known results by a factor of two whenever the approximating matrix has sufficiently small entries.