Norm bounds for summation of two normal matrices
β Scribed by Man-Duen Choi; Chi-Kwong Li
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 267 KB
- Volume
- 379
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let IIAllp,q be the norm induced on the matrix A with n rows and m columns by the Hijlder lP and d, norms on R" and Rm (or C" and C"'), respectively. It is easy to find an upper bound for the ratio llA/l,,/ilA &y. In this paper we study the classes of matrices for which the upper bound is attained.
## Abstract We determine bounds for the spectral and π~__p__~ norm of CauchyβHankel matrices of the form __H__~__n__~=[1/(__g__+__h__(__i__+__j__))]^__n__^~__i,j__=1~β‘ ([1/(__g__+__kh__)]^__n__^~__i,j__=1~), __k__=0, 1,β¦, __n__ β1, where __k__ is defined by __i__+__j__=__k__ (mod __n__). Copyright