y**t
发帖数: 50 | 1 usually,the norm in a vector space(euclidean norm)
means the sqrt of the sum of squares of components
and the norm of a matrix is defined as the Sup_{|v|!=0}
(|Av|/|v|)and this is in fact the eigenvalue which has the largest absolute
value among all evs.so if given 2 vectors a and b, a
means each component of a is less than b,then what you
stated is true.I guess the necessary condition is
very dependent on the vector v. |
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