Biography
Professor
BSc (Dalhousie); MSc, PhD (Toronto)
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.
Recent Publications
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Hilbert space operators with compatible off-diagonal corners
- ArXiv, 2017
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A Perron-Frobenius-type theorem for positive matrix semigroups
- Positivity, 2016
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A simultaneous Wielandt positivity theorem
- Positivity, 2015
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A spatial version of Wedderburn's principal theorem
- Linear and Multilinear Algebra, 2015
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Paratransitive algebras of linear operators
- Linear Algebra and its Applications, 2013
Research Classification
- no classification
Research Interests
- Basic theoretical problems in mathematics
- Operator theory
- Linear algebra
Current Scholars in Mathematical and Computational Sciences
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