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Matrix Analysis

Matrix Analysis

Matrix theory is a more advanced version of linear algebra and has strong links with other mathematical disciplines such as graph theory, combinatorics, operator theory, geometry, mathematical biology. Applications of the area range from machine learning and big data, to engineering and biology.

Research in Matrix Analysis in the school covers a range of topics, including combinatorial matrix theory, spectral theory for positive matrices, quantum information theory, algebra lengths, and completion problems.


Dr Anthony Cronin

Research Interests: Nonnegative matrix theory

Dr Rupert Levene

Research Interests: Functional Analysis, Operator Algebras, Operator Spaces, Quantum Information Theory, Matrix Analysis

Dr Helena Smigoc

Research Interests: TTheory and applications of nonnegative matrices, combinatorial matrix theory, completely positive matrices, nonnegative matrix factorizations, matrix algebras

Group Contact (Email): (opens in a new window)Dr Helena Smigoc

UCD School of Mathematics and Statistics

Room S3.04, Science Centre South, University College Dublin, Belfield, Dublin 4, Ireland.