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Non-chordal patterns associated with the positive definite completion problem
(North-West University, 2015)
A partial matrix, is a matrix for which some entries are specified and some unspecified. In general completion problems ask whether a given partial matrix, may be completed to a matrix where all the entries are specified, ...
Complex analysis and realization theory for classes of free noncommutative functions
(North-West University (South Africa), 2020)
A non-commutative function is a mapping defined on the disjoint union of tuples of matrices of all sizes which is graded (maps matrices of a given size to matrices of the same size), respects direct sums and similarities. ...