Gordon MacdonaldÂ
Associate Dean & Professor
Faculty of Sciences- Mathematical and Computational Sciences
University of Prince Edward Island
Canada
Biography
He did his Phd from Dalhousie and now works as Professor in UPEI, Canada. He is also the associalte Dean of the Department.
Research Interest
Dr. MacDonald works to better understand collections of matrices or operators, specifically their properties and structure. With widespread applications in all the disciplines of science, matrices are arrays of numbers and realizations of linear transformations that act on finite-dimensional spaces while operators are the infinite-dimensional analogues of matrices.
Publications
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Livshits L, MacDonald G, Marcoux LW, Radjavi H. Paratransitive algebras of linear operators II. Linear Algebra and its Applications. 2013 Oct 1;439(7):1974-89.
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MacDonald G, Radjavi H. A simultaneous Wielandt positivity theorem. Positivity. 2015 Mar 1;19(1):149-60.
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Livshits L, MacDonald GW, Marcoux LW, Radjavi H. A spatial version of Wedderburn’s Principal Theorem. Linear and Multilinear Algebra. 2015 Jun 3;63(6):1216-41.
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Livshits L, MacDonald G, Radjavi H. A Perron-Frobenius-type theorem for positive matrix semigroups. Positivity. 2017 Mar 1;21(1):61-72.