c*******h
发帖数: 1096 | 1 what can we say about the norm of the matrix?
assume that the matrix is unsymmetric but diagonalizable. | l******r
发帖数: 18699 | 2 考虑它乘以自身的转置
【在 c*******h 的大作中提到】
: what can we say about the norm of the matrix?
: assume that the matrix is unsymmetric but diagonalizable.
| c*******h
发帖数: 1096 | 3 i did a small 2x2 example and find that the norm of the matrix can
not be upper bounded. in fact, depending on the eigenvectors, the
norm of the matrix can be arbitrarily large.
btw, i found a lower bound from a problem in Horn's book. the f-norm
of the matrix is larger than or equal to the root of the squared sum
of the eigenvalues. equality holds iff the matrix is normal.
【在 l******r 的大作中提到】
: 考虑它乘以自身的转置
|
|
