Sum of Orthogonal Bimatrices in Cnxn
Journal: International Journal of Science and Research (IJSR) (Vol.5, No. 1)Publication Date: 2016-01-05
Authors : S. Jothivasan;
Page : 395-404
Keywords : Orthogonal matrix; bimatrix; orthogonal bimatrix; unitary bimatrix; sum of orthogonal bimatrices; sum of unitary bimatrices;
Abstract
Let Let be the set of unitary bimatrics in and let be the set of orthogonal bimatrices in Suppose we show that every can be written as a sum of bimatrices in and of bimatrices in let be given that and let be the least integer that is a least upper bound of the singular values of AB. When F=C, we show that AB can be written as a sum of k bimatrices from
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