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Tropical Linear Algebra

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  • Full or part time
    Prof Peter Butkovic
  • Application Deadline
    Applications accepted all year round

Project Description

Tropical mathematics is a rapidly evolving branch of mathematics with potential to solve a class of non-linear problems in mathematics, science and engineering. In the core of tropical mathematics is tropical linear algebra (max-algebra) pioneered in Birmingham by Professor RA Cuninghame-Green 50 years ago. After 2000 we have seen a considerable expansion of this area in a number of research centres worldwide (such as Paris, Berkeley, Moscow and Delft). Tropical mathematics overlaps with a wide range of areas of mathematics. Applications are both theoretical (for instance in discrete-event dynamic systems, control theory and optimisation) and practical (analysis of a railway network). Many problems in tropical linear algebra remain unresolved, such as polynomial solvability of two-sided systems of equations, linear independence, characteristic polynomial, generalised eigenproblem or supereigenvectors.
Among the requirements for this project is good knowledge of linear algebra and combinatorics.

To find out more about studying for a PhD at the University of Birmingham, including full details of the research undertaken in each school, the funding opportunities for each subject, and guidance on making your application, you can now order your copy of the new Doctoral Research Prospectus, at: www.birmingham.ac.uk/students/drp.aspx

Related Subjects

How good is research at University of Birmingham in Mathematical Sciences?

FTE Category A staff submitted: 40.00

Research output data provided by the Research Excellence Framework (REF)

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