International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 5 Issue 1, January 2016 | Popularity: 6.1 / 10


     

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


Edition: Volume 5 Issue 1, January 2016


Pages: 395 - 404


DOI: https://www.doi.org/10.21275/NOV152638



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S. Jothivasan, "Sum of Orthogonal Bimatrices in Cnxn", International Journal of Science and Research (IJSR), Volume 5 Issue 1, January 2016, pp. 395-404, https://www.ijsr.net/getabstract.php?paperid=NOV152638, DOI: https://www.doi.org/10.21275/NOV152638