Characterizaton and Theorems on Quaternion Doubly Stochastic Matrices

**ABSTRACT:**

The concepts of quaternion symmetric doubly stochastic are developed, basic theorems and some results for these matrices and characterization are analyzed with examples.

**KEYWORDS: ** Doubly stochastic matrix, quaternion symmetric doubly stochastic matrix, quaternion orthogonal symmetric doubly stochastic matrix, centro doubly stochastic matrix, Subject code classification:15B99, 15A51

**DOI:**http://dx.doi.org/10.22147/jusps-A/290402

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The concepts of quaternion symmetric doubly stochastic are developed, basic theorems and some results for these matrices and characterization are analyzed with examples.