Professor Peter Butkovic


School of Mathematics

University of Birmingham


Birmingham B15 2TT

United Kingdom

p.butkovic (at)


Introductory texts on max-algebra (tropical linear algebra)

EPSRC Project "Perron-Frobenius theory and max-algebraic combinatorics of nonnegative matrices" (EP/J00829X/1)

EPSRC Project "Feasibility and Reachability in Max-Linear Systems" (EP/ F000480 /1)

EPSRC Project "The Connections Between Matrix Scaling and Max-Algebra" (GR/T06414/01)

EPSRC Project "Unresolved Variants of the Assignment Problem" (GR/R37333/01)

LMS Joint Research Group in Tropical Mathematics 2010-2013

School of Mathematics

School of Mathematics - personal webpage