On Fully Indecomposable Quaternion Doubly Stochastic Matrices

Mrs. Seethadevi R.; Dr. Gunasekaran K.

Title:
On Fully Indecomposable Quaternion Doubly Stochastic Matrices

Authors:
Dr. Gunasekaran K. | Mrs. Seethadevi R.

Cite This Article :

Dr. Gunasekaran K. | Mrs. Seethadevi R. "On Fully Indecomposable Quaternion Doubly Stochastic Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5, August 2019, pp.476-479, URL: https://www.ijtsrd.com/papers/ijtsrd25351.pdf

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Abstract :
In traditional years, fully indecomposable matrices have played an vital part in various research topics. For example, they have been used in establishing a necessary condition for a matrix to have a positive inverse also, in the case of simultaneously row and column scaling sub-ordinate to the unitarily invariant norms, the minimal condition number diagonalizable, sub-stochastic matrices , Kronecker products is achieved for fully indecomposable matrices. In the existence of diagonal matrices D1 and D2 , with strictly positive diagonal elements, such that D1 AD2 is quaternion doubly stochastic, is established for an nXn non-negative fully indecomposable matrix A. In a related scaling for fully indecomposable non-negative rectangular matrices is also discussed.

Keywords :
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Publication Details:

Unique Identification Number : IJTSRD25351

Published In : Volume-3 | Issue-5, August 2019

Page Number(s) : 476-479

Publisher Name : IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470

Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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