A Convergence Criterion of Newton’s Method Based on the Heisenberg Uncertainty Principle

The objective in this article is to extend the applicability of Newton’s method for solving Banach space valued nonlinear equations. In particular, a new semi-local convergence criterion for Newton’s method (NM) based on Kantorovich theorem in Banach space is developed by application of the Heisenberg Uncertainty Principle (HUP). The...

Reflection Positivity in Heisenberg and Ice-Type Models

This thesis gives a thorough description of the mathematical tool called reflection positivity, which can be used to prove the occurrence of phase transitions in physical models. A major result, although already known, is a theorem that gives tractable conditions on the Hamiltonian such that the Boltzmann functional is reflection positive. In...

Development of a workload set for multi-core architectures

With the rise of multi-core chips in commodity hardware, the need for specialized workloads to evaluate the performance of multi-core systems has become apparent. The current generation of workloads used for evaluating multi-core systems often consist of sequential programs not capable of running on multiple processors and are therefore of...

NMR study of local magnetizations in diluted two-dimensional antiferromagnets