What is the norm of a complex number? [duplicate]
Jan 24, 2013 · We can define the norm of a complex number in other ways, provided they satisfy the following properties. Positive homogeneity. Triangle inequality. Zero norm iff zero vector. …
What is the difference between the Frobenius norm and the 2 …
Frobenius norm = Element-wise 2-norm = Schatten 2-norm. Induced 2-norm = Schatten $\infty$-norm. This is also called Spectral norm. So if by "2-norm" you mean element-wise or Schatten …
Understanding L1 and L2 norms - Mathematics Stack Exchange
Feb 6, 2021 · The L1 norm is the sum of the absolute value of the entries in the vector. The L2 norm is the square root of the sum of the squares of entries of the vector. In general, the Lp …
How are $C^0,C^1$ norms defined - Mathematics Stack Exchange
Aug 8, 2013 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
What is the reason norm properties are defined the way they are?
The intuition behind the definition of norm is that the norm of a vector is a way to measure the length of the vector. Then the definition becomes clear: The length should be non-negative. In …
Prove Operator Norm is a Norm on linear space [duplicate]
Dec 13, 2015 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
normed spaces - How are norms different from absolute values ...
The norm you describe in your post, $||\epsilon||=\max|\epsilon_i|$ is a particular norm that can be placed on $\mathbb{R}^n$; there are many norms that can be defined on $\mathbb{R}^n$. …
linear algebra - 2-norm vs operator norm - Mathematics Stack …
So every vector norm has an associated operator norm, for which sometimes simplified expressions as exist. The Frobenius norm (i.e. the sum of singular values) is a matrix norm (it …
Intuitive explanation of $L^2$-norm - Mathematics Stack Exchange
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
How to calculate the norm? - Mathematics Stack Exchange
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …