On a property of Cauchy-like matrices
โ Scribed by Jean-Paul Cardinal
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 347 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0764-4442
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๐ SIMILAR VOLUMES
We consider the asymptotic behaviour of the smallest singular values of the n x N sections of a general infinite Cauchy-Toeplitz matrix.
## Abstract We determine bounds for the spectral and ๐~__p__~ norm of CauchyโHankel matrices of the form __H__~__n__~=[1/(__g__+__h__(__i__+__j__))]^__n__^~__i,j__=1~โก ([1/(__g__+__kh__)]^__n__^~__i,j__=1~), __k__=0, 1,โฆ, __n__ โ1, where __k__ is defined by __i__+__j__=__k__ (mod __n__). Copyright
A square matrix A = (aij) over a commutative linearly ordered group (G, \*, s) is said to have the Monge property if aii \* ay < aij \*ski holds for all i and for all j, k > i. We present an O(n4) algorithm for checking whether the rows and columns of a given matrix can be permuted in such a way tha