Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CONSTRUCTIONS FOR SPARSE ROW-ORTHOGONAL MATRICES WITH A FULL ROW

  • Published : 1999.03.01
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Abstract

In [4], it was shown that an n by n orthogonal matrix which has a row of nonzeros has at least ( log2n + 3)n - log2n +1 nonzero entries. In this paper, the matrices achieving these bounds are constructed. The analogous sparsity problem for m by n row-orthogonal matrices which have a row of nonzeros in conjectured.

Keywords

References

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  2. Bull. of Korean Math. Soc. Constructions for the sparsest orthogonal matrices G.-S. Cheon;B. L. Shader
  3. J. of Combinatorial Theory Series A v.85 How sparse can a matrix with orthogonal rowa be? G.-S. Cheon;B. L. Shader
  4. Discrete Applied Math. J. Sparse orthogonal matrices and the Haar wavelet G.-S. Cheon;B. L. Shader
  5. Rocky Mtn. Math. J. A simple proof of Fiedler's conjecture concerning orthogonal matrices B. L. Shader