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Articles 4861 - 4864 of 4864
Full-Text Articles in Physical Sciences and Mathematics
A Note Of A Class Of Hadamard Matrices, Jennifer Seberry
A Note Of A Class Of Hadamard Matrices, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
An Hadamard matrix H is a matrix of order n all of whose elements are + 1 or -1 and which satisfies H ffT = nIn . H = S + In is a skew-type Hadamard matrix if ST = -So It is conjectured that an Hadamard matrix always exists for n = 4t, t any integer. Many known matrices and classes of matrices can be found in [1].
Two New Block Designs, Jennifer Seberry
Two New Block Designs, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
In this note the matrices W, X. Y, and Z are the incidence matrices of the (u, k, ,\,) configurations (15, 7, 3), (25,9,3), (45, 12,3), and (36, 15,6), respectively. Wand X are new formulations of these configurations and Yand Z were previously not known (see [I, pp. 295, 297]).
A Class Of Hadamard Matrices, Jennifer Seberry
A Class Of Hadamard Matrices, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
Whenever there exists a quasi-skew Hadamard matrix of order 4m and (4n - I, k, m - n + k) and (4n - I, u, u - n) configurations with circulant incidence matrices, then there exists an Hadamard matrix of order 4m(4n - I).
Equivalence Of Hadamard Matrices, W. D. Wallis, Jennifer Seberry
Equivalence Of Hadamard Matrices, W. D. Wallis, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
Suppose In is a square-free odd integer, and A and B are any two Hadamard matrices of order 4m. We will show that A and B are equivalent over the integers (that is, B can be obtained from A using elementary row and column operations which involve only integers).