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- What is the norm of a complex number? [duplicate]
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 determinant can be interpreted as an area (or volume in higher dimensions ) However, the area volume interpretation only gets you so far
- What is the difference between the Frobenius norm and the 2-norm of a . . .
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 Frobenius norm, and the two are only equal when all of the matrix's eigenvalues have equal magnitude
- Understanding L1 and L2 norms - Mathematics Stack Exchange
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 are their differences I am
- 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 case of the Euclidian norm $|x|_2$ the operator norm is equivalent to the 2-matrix norm (the maximum singular value, as you already stated) So every vector norm has an associated operator norm
- 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{|
- matrices - Orthogonal matrix norm - Mathematics Stack Exchange
The original question was asking about a matrix H and a matrix A, so presumably we are talking about the operator norm The selected answer doesn't parse with the definitions of A and H stated by the OP -- if A is a matrix or more generally an operator, (A,A) is not defined (unless you have actually defined an inner product on the space of
- Formulate the Least Norm (Using ${L}_{1}$ Norm) Problem as Linear . . .
Formulate the Least Norm (Using $ {L}_ {1}$ Norm) Problem as Linear Programming Problem Ask Question Asked 9 years, 9 months ago Modified 4 months ago
- How do I find the norm of a matrix? - Mathematics Stack Exchange
I learned that the norm of a matrix is the square root of the maximum eigenvalue multiplied by the transpose of the matrix times the matrix Can anybody explain to me in further detail what steps I need to do after finding the maximum eigenvalue of the matrix below?
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