International Journal of Mathematics Trends and Technology
Volume 28 | Number 2 | Year 2015 | Article Id. IJMTT-V28P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V28P511
Let F R C
H , , . Let Un n be the set of unitary bimatrics in , F n n and let On n be the
set of orthogonal bimatrices in . F n n Suppose n 2. we show that every A F B n
n can be written as a sum of bimatrices in Un n and of bimatrices in . On n let
A F B n n be given that and let k 2 be the least integer that is a least upper
bound of the singular values of AB. When F=R, we show that if k 3, then AB can
be written as a sum of 6 orthogonal bimatrices; if k 4, we show that AB can be
written as a sum of k 2 orthogonal bimatrices.
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S. Jothivasan, "Sum of Orthogonal Bimatrices in Rnxn," International Journal of Mathematics Trends and Technology (IJMTT), vol. 28, no. 2, pp. 66-74, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V28P511
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