Qiu, Li (Hong Kong Univ. of Science & Tech.), Zhang, Yanxia (Beijing Inst. of Tech.)

On the Angular Metrics between Linear Subspaces

Scheduled for presentation during the Regular Session "Linear Systems II" (ThP13), Thursday, July 27, 2006, 17:25−17:50, Room 101

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

In has recently been shown that the symmetric gauge functions on the canonical (principal) angles give a family of unitarily invariant metrics between linear subspaces of the same dimension. In this short paper, we extend such metrics to subspaces of possibly different dimensions. This extension is necessary in addressing some perturbation analysis problems involving subspaces with different dimensions. Examples of such perturbation analysis problems are also studied in this paper using the extended metrics.