# matrix norm in a sentence

1. 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. It's difficult to find matrix norm in a sentence.
7. where \ mathbf { E } _ { \ rm est } is the resulting matrix from Step 2 and the Frobenius matrix norm is used.
8. Its role is analogous to that of the matrix norm for a discrete dynamical system x _ { n + 1 } = Ax _ n.
9. :Also, when there are matrix norms involved, single bar notation is used for vector norms and double bar for matrix norms . "'
10. :Also, when there are matrix norms involved, single bar notation is used for vector norms and double bar for matrix norms . "'
11. 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.
12. The case " p " = & infin; yields the spectral norm, which is the matrix norm induced by the vector 2-norm ( see above ).
13. The convergence criteria of the power series then apply, requiring \ Vert \ eta A ^ {-1 } B \ Vert to be sufficiently small under the appropriate matrix norm.
14. This notation can be ambiguous since it is also used for certain matrix norms and for the absolute value " !-- talk ) 17 : 09, 23 December 2008 ( UTC)
15. Additionally, in the case of square matrices ( thus, ), some ( but not all ) matrix norms satisfy the following condition, which is related to the fact that matrices are more than just vectors:
16. Also, if A is a matrix, | A | is used to denote the determinant of | A |, even though det ( A ) is usually preferred, because | A | may be better used to denote a matrix norm.
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