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

在表示物理过程时，线性模型无处不在。将线性模型分解成其基本分量称为特征值问题。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，有必要对相关的时变线性模型进行动态分解。这个项目的目的是开发比目前存在的更快和更准确的算法来解决这个时变的特征值问题。将采用非常先进的技术来实现这一目标，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.