Some properties and generation methods of integer matrices with large condition number (コンカレント工学)

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概要

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• We study about an ill-conditioned integer matrix A = [a_<ij>] with |a_<ij> ≦ μ. Let n be the order of A. We first give some upper bounds of the condition number of A in terms of Σ_<i,j>a^a_<ij>, μ and n. Next we point out some problems arising in the previous generation methods of extremely ill-conditioned matrices. Finally to solve the above problems we propose a desirable singular value distribution of ill-conditioned benchmark matrices and erive partial solutions to them.

• 2010-06-14

著者

• NISHI Tetsuo

  School of Science and Engineering, Waseda University

• RUMP Siegflied

  Hamburg University of Technology

• Nishi Tetsuo

  School Of Science And Engineering Waseda University

• Oishi Shin'ichi

  School Of Science And Engineering Waseda University

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