The Australian Mathematical Science Institute and the IRMACS Centre Present:
A Workshop on Computational and Analytical Mathematics - Video Recordings
While the free energy and spontaneous magnetisation of the two-dimensional Ising model have been known for more than 60 years, the susceptibility is still not completely known. Some 10 years ago we discovered and implemented a polynomial time algorithm for the series expansion of the susceptibility for the square lattice Ising model. This has...
Nonlinear optimization is a key instrument in modern control engineering. In this talk we describe recent progress in the area of feedback control design based on the use of smooth and non-smooth optimization techniques.
Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs
This talk concerns with the study of new classes of nonlinear and nonconvex optimization problems of the so-called infinite programming that are generally defined on infinite-dimensional spaces of decision variables and contain infinitely many of equality and inequality constraints with arbitrary (may not be compact) index sets. These problems...
Attainment and (sub)differentiability of the infimal/supremal convolution of a function and of the square of the norm
Let be a Banach space whose norm is LUR and Gateaux
(Fr\'echet) smooth. Under some mild assumptions, it is shown that the
infimal/supremal convolution of a fairly general function...