On Fully Indecomposable Quaternion Doubly Stochastic Matrices

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. 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, URL: https://www.ijtsrd.com/papers/ijtsrd25351.pd