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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
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
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
normed spaces - The difference between $L_1$ and $L_2$ norm . . . The $1$-norm and $2$-norm are both quite intuitive The $2$-norm is the usual notion of straight-line distance, or distance ‘as the crow flies’: it’s the length of a straight line segment joining the two points
linear algebra - Understanding of the theorem that all norms are . . . This proof is really a way of saying that the topology induced by a norm on a finite-dimensional vector space is the same as the topology defined by open half-spaces; in particular, all norms define the same topology and all norms are equivalent There are other ways to prove that using the Hahn-Banach theorem
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?