A note on the condition of a matrix
β Scribed by Graeme Fairweather
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 144 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0735-1933
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The condition numbers described by Stewart, Todd, and others for a matrix A are given by the suprema of the norms of all the oblique projection operators respectively on the image space of AT and the null space of A. This paper shows that these two numbers coincide.
Bongiorno and Lu have presented a condition for the stabilizability using stable controllers of an unstable plant. We show this condition may be reformulated in terms of Cauchy indices, allowing its checking in a finite number of rational operations, should the plant not be given in factored form, i