nonlinear knapsack problems (nkp) are the alternative formulation for the multiple-choice knapsack problems. a powerful approach for solving nkp is dynamic programming which may obtain the global op-timal solution even in the case of discrete solution space for these problems. despite the power of this solu-tion approach, it computationally performs very slowly when the solution space of the pr...

The numerical solution of linear systems with certain tensor product structures is considered. Such structures arise, for example, from the finite element discretization of a linear PDE on a d-dimensional hypercube. Linear systems with tensor product structure can be regarded as linear matrix equations for d = 2 and appear to be their most natural extension for d > 2. A standard Krylov subspace...

On New Year's Eve, one of the world's largest aircraft, a Qantas Airbus A380 will set off for a 9,000 kilometre round trip over the Antarctic for tourists to enjoy the spectacular scenery. These tourists will leave a very large carbon footprint, even without landing on the continent, but there is additional, increasing concern about the growing pressure from cruise ships and other tourists wish...