The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control

线性模型在表示物理过程中无处不在。将一个线性模型分解成它的基本组成部分被称为特征值问题。在天文学，飞机控制系统，互联网搜索引擎和通信系统等广泛的应用中，有必要在飞行中执行相关时变线性模型的这种分解。该项目旨在开发比现有算法更快、更准确的时变特征值问题算法。为实现这一目标，将采用非常现代的技术，这对澳大利亚高科技产业的潜在好处是巨大的。

Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop significantly faster and more accurate algorithms for this time varying eigenvalue problem than currently exist. Very modern techniques will be employed to achieve this aim, and the potential benefits to Australian hi-tech industries are great.