SÁNDOR ZOLTÁN NÉMETH

SCIENTIFIC HOMEPAGE

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Research Interests

· OPTIMISATION ON RIEMANNIAN MANIFOLDS

o   Generalised convexity and generalised monotonicity

o   Optimisation and equilibrium problems

o   Singularities of vector fields

o   Algorithms

· ORDERED VECTOR SPACES

o   Projection onto cones and applications
!!! Highly recommended PhD topic !!! See items 1, 5 and 7 of this page to see how popular is this topic). Contact me if you wish to do a PhD in this topic. Possible applications of this topic are: regression, image reconstruction, pattern recognition, portfolio optimisation, quadratic programming, complementarity, non-negative solutions of linear systems of equations etc.

o   Latticially ordered Euclidean and Hilbert spaces

· EQUILIBRIUM SYSTEMS

o   Applications of nonlinear analysis, topological methods and ordered vector spaces to fixed point theorems, surjectivity theorems, nonlinear spectral theory, variational inequalities, nonlinear complementarity problems and integral equations

· MULTICRITERIA DECISION PROBLEMS

o   Stability of decision models

- global optimisation methods

- genetic programming methods

o   Axiomatic foundation

· ARTIFICIAL INTELLIGENCE

o   Genetic programming

- diversity of genetic programs

- limitation of code growth



Contact:

Theoretical & Computational Optimization Group
School of Mathematics
University of Birmingham
Watson Building
Edgbaston
B15 2TT Birmingham
United Kingdom
Phone: +44-121-414-6404
Fax: +44-121-414-3389
E-mail: s [dot] nemeth [at] bham [dot] ac [dot] uk



Home    Curriculum Vitae    Publications    Ph.D. Thesis