A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
The November meeting in University, Alabama

1955
*
Bulletin of the American Mathematical Society
*

to be published] will be improved further by obtaining bounds for the components of the characteristic vectors. Let A = (a K \) be an arbitrary matrix, co a characteristic root, 36 =» (xi, xi, • • • , x n ) a characteristic vector belonging to co, and x r the absolute greatest component. Then co lies in the circle C r with center at a rr and radius P r = ]Cx^n | a r \ | • Let R be a closed subregion of C r containing w and d K be the minimum distance of a KK from R. Set /« -l if d K~0 , and

doi:10.1090/s0002-9904-1955-09862-8
fatcat:l6edkwxwibes5gpnrigewiocku