- 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 ≤ ≤ than Frobenius norm, and the two are only equal when all of the matrix's eigenvalues have equal magnitude
- What is the norm of a complex number? [duplicate]
In particular, this "algebraic norm" is not measuring distance, but rather measuring something about the multiplicative behavior of a + bi a + b i That it turns out to be the square of the geometric norm in this case is a deep geometric fact about the geometry of complex numbers
- 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{|
- 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
- How are $C^0,C^1$ norms defined - Mathematics Stack Exchange
How are C0,C1 C 0, C 1 norms defined? I know Lp,L∞ L p, L ∞ norms but are the former defined
- Norm of Complex Vector - Mathematics Stack Exchange
The norm is a real number – DonAntonio Commented Feb 24, 2016 at 13:30 @user317339 not quite The dot product for complex vectors is given by
- 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?
- L0 norm, L1 norm and L2 norm - Mathematics Stack Exchange
The L0 L 0 norm is the number of non-zero elements in a vector Then it is not strictly a measure of a distance, then you couln't say the equality directly implies a relation between ∥x∥1, ∥y∥1 ‖ x ‖ 1, ‖ y ‖ 1
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