On Eigenvalues of Row-Inverted Sylvester Hadamard Matrices

نویسندگان

  • Seung-Rae Lee
  • Jong-Seon No
  • Eun-Ho Shin
  • Habong Chung
چکیده

In this paper, the eigenvalues of row-inverted 2 × 2 Sylvester Hadamard matrices are derived. Especially when the sign of a single row or two rows of a 2×2 Sylvester Hadamard matrix are inverted, its eigenvalues are completely evaluated. As an example, we completely list all the eigenvalues of 256 different row-inverted Sylvester Hadamard matrices of size 8. Mathematics Subject Classification (2000). Primary 65F15; Secondary 06E30.

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تاریخ انتشار 2009