Abstract. The optimization and design of two different types of photonic devices - a Fibre Bragg Grating and a Microstructured Polymer Optical Fibre is presented in light of multi...
Steven Manos, Leon Poladian, Peter J. Bentley, Mar...
Abstract. We consider the issue of exploiting symmetries in the hierarchy of semidefinite programming relaxations recently introduced in polynomial optimization. We focus on probl...
Abstract. We describe our efforts to use source-level rewriting to optimize run-time program generators written in Jumbo, a run-time program generation system for Java. Jumbo is a...
Abstract. We consider the general nonlinear optimization problem in 01 variables and provide an explicit equivalent convex positive semidefinite program in 2n - 1 variables. The op...
The abstract mathematical theory of partial differential equations (PDEs) is formulated in terms of manifolds,scalar fields, tensors, and the like, but these algebraic structures a...