For this reason, other matrix norms are commonly used to estimate the condition number.
2.
A matrix norm is a vector norm on K ^ { m \ times n }.
3.
There are a number of matrix norms that act on the singular values of the matrix.
4.
Product numerical radius is a vector norm on matrices, but it is not a matrix norm.
5.
The norm derived from the above inner product is called the Frobenius norm, which satisfies submultiplicative property as matrix norm.
6.
Where \ mathbf { E } _ { \ rm est } is the resulting matrix from Step 2 and the Frobenius matrix norm is used.
7.
Its role is analogous to that of the matrix norm for a discrete dynamical system x _ { n + 1 } = Ax _ n.
8.
:Also, when there are matrix norms involved, single bar notation is used for vector norms and double bar for matrix norms . "'
9.
:Also, when there are matrix norms involved, single bar notation is used for vector norms and double bar for matrix norms . "'
10.
The role of matrix regularization in this setting can be the same as in multivariate regression, but matrix norms can also be used to couple learning problems across tasks.
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