Sum of Orthogonal Bimatrices in Cnxn

S. Jothivasan

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

Keywords: Orthogonal matrix, bimatrix, orthogonal bimatrix, unitary bimatrix, sum of orthogonal bimatrices, sum of unitary bimatrices