What is the norm of a complex number? [duplicate]
Jan 24, 2013 · In number theory, the "norm" is the determinant of this matrix. In that sense, unlike in analysis, the norm can be thought of as an area rather than a length, because the …
What is the difference between the Frobenius norm and the 2 …
For example, in matlab, norm (A,2) gives you induced 2-norm, which they simply call the 2-norm. So in that sense, the answer to your question is that the (induced) matrix 2-norm is $\le$ than …
2-norm vs operator norm - Mathematics Stack Exchange
The operator norm is a matrix/operator norm associated with a vector norm. It is defined as $||A||_ {\text {OP}} = \text {sup}_ {x \neq 0} \frac {|A x|_n} {|x|}$ and different for each vector norm. In …
Understanding L1 and L2 norms - Mathematics Stack Exchange
Feb 6, 2021 · I am not a mathematics student but somehow have to know about L1 and L2 norms. I am looking for some appropriate sources to learn these things and know they work and what …
normed spaces - How are norms different from absolute values ...
Hopefully without getting too complicated, how is a norm different from an absolute value? In context, I am trying to understand relative stability of an algorithim: Using the inequality $\\frac{|...
Prove Operator Norm is a Norm on linear space [duplicate]
Dec 13, 2015 · Prove Operator Norm is a Norm on linear space [duplicate] Ask Question Asked 9 years, 11 months ago Modified 9 years, 11 months ago
Why is that the matrix $1$-norm and $\infty$-norm are equal to …
Dec 23, 2016 · However, this post seems to shatter my assumption: 2-norm vs operator norm. Upon further examination, it seems that the operator norm and matrix norm only coincide (=) …
What is the definition of the nuclear norm (aka trace norm, Ky-Fan …
Aug 11, 2016 · What is the direct definition for the trace norm of a tensor? By direct I mean without matricization. Edit 1: By tensor, I mean a multi-way array, a generalization of vectors …
Nature of the Euclidean Norm - Mathematics Stack Exchange
Jun 22, 2024 · Every norm also defines a "generalized unit sphere" which consists of all vectors at a distance of exactly $1$ from the origin. The above says that the Euclidean norm, which …
How are $C^0,C^1$ norms defined - Mathematics Stack Exchange
Aug 8, 2013 · How are $C^0,C^1$ norms defined? I know $L_p,L_\\infty$ norms but are the former defined.