- Volume 36 Issue 2
In , 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.
- Bull. of Korean Math. Soc. Constructions for the sparsest orthogonal matrices G.-S. Cheon;B. L. Shader
- J. of Combinatorial Theory Series A v.85 How sparse can a matrix with orthogonal rowa be? G.-S. Cheon;B. L. Shader
- Rocky Mtn. Math. J. A simple proof of Fiedler's conjecture concerning orthogonal matrices B. L. Shader
- Combinatorial and GraphTheoretical Problems in Linear Algebra Combinatorial Orthogonality L. B. Beasley;R. A. Brualdi;B. L. Shader;R. A. Brualdi(eds.);S. Friedland(eds.);V. Klee(eds.)
- Discrete Applied Math. J. Sparse orthogonal matrices and the Haar wavelet G.-S. Cheon;B. L. Shader