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  • 标题:Bounded Matrix Rigidity and John's Theorem
  • 本地全文:下载
  • 作者:Cyrus Rashtchian
  • 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.
  • 关键词:Johns Theorem ; Matrix Rigidity ; Spectral Norm
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