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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 are their differences. I am
Feb 10, 2026 · Yes, as indicated by daw, because your discrete Sobolev norm only includes the values of the function evaluated at the discrete mesh points, it is always possible to construct a nonzero function that ha...
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 determinant can be interpreted ...
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 Eucl...
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 t...
Jan 25, 2022 · How are $C^0,C^1$ norms defined? I know $L_p,L_\\infty$ norms but are the former defined.
Feb 9, 2025 · pointwise convergence vs. convergence in operator norm Ask Question Asked 1 year, 1 month ago Modified 1 year, 1 month ago
Dec 17, 2017 · I've read the Uniform Norm Wikipedia page, but my most of it went over my head. What is the sup-norm in simple and / or intuitive terms? Are there any good examples which illustrate it?
Aug 21, 2018 · The spectral norm (also know as Induced 2-norm) is the maximum singular value of a matrix. Intuitively, you can think of it as the maximum 'scale', by which the matrix can 'stretch' a vector. The maximu...
May 31, 2025 · Is there something missing or why are the an extra pair of parentheses around the integral in the definition of the norm?
