상세정보
학술지
Exact Maximum Singular Value Calculation of an Interval Matrix
- 저자
- 안효성, Yang Quan Chen
- 발행일
- 200703
- 출처
- IEEE Transactions on Automatic Control, v.52 no.3, pp.510-514
- ISSN
- 0018-9286
- 출판사
- IEEE
- 협약과제
- 06MI1300, USN 기반 Ubiquitous Robotic Space 기술 개발, 유원필
- 초록
- In this note, we present a method for calculating the maximum singular value of an interval matrix. First, we provide an algorithm for calculating the maximum singular value of a square interval matrix. Then, based on this algorithm, we extend the result to non-square interval matrix case and to the case of computing the minimum singular value. Through numerical examples, the validity of the suggested methods is illustrated. Particularly, we compare the newly-proposed method with an existing method to show that the new method finds the correct bound of the maximum singular value with no exception. © 2007 IEEE.
- KSP 제안 키워드
- Interval Matrix, Maximum singular value, Numerical examples, Value calculation, minimum singular value, new method