Abstract :
The purpose of this paper is to locate and estimate the eigen values of quaternion doubly stochastic matrices. We present several estimation theorems about the eigen values of quaternion doubly stochastic matrices. Mean while, we obtain the distribution theorem for the eigen values of tensor products of two quaternion doubly stochastic matrices. We will conclude the paper with the distribution for the eigen values of generalized quaternion doubly stochastic matrices. Dr. Gunasekaran K | Mrs. Seethadevi R "The Estimation for the Eigenvalue of Quaternion Doubly Stochastic Matrices using Gerschgorin Balls" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-3 , April 2019, URL: https://www.ijtsrd.com/papers/ijtsrd22860.pdf Paper URL: https://www.ijtsrd.com/mathemetics/other/22860/the-estimation-for-the-eigenvalue-of-quaternion-doubly-stochastic-matrices-using-gerschgorin-balls/dr-gunasekaran-k
Keyword :
Quaterniondoublystochasticmatrices, Eigenvaluesandtensorproduct, gerschgorinballs.AMSClassification15A03, 15A09, 15A24, 15B27