![]() ![]() That is totally different from the induced matrix 2-norm. ![]() unpack A into a vector and compute the 2-norm of that vector. Note the “as if A were a vector of the corresponding length.” I.e. ![]() Which norm is defined), compute the p-norm (defaulting to p=2) as if A were a vector of the Search: norm normpath normalize normalize! opnorm issubnormal UniformScaling ColumnNorm set_zero_subnormalsįor any iterable container A (including arrays of any dimension) of numbers (or any element type for (Note that for sparse matrices, p=2 is currently not implemented.) Use norm to compute the That’s what documentation says as well help?> opnormĬompute the operator norm (or matrix norm) induced by the vector p-norm, where valid values of p are 1,Ģ, or Inf. I apologize if you are restricted to using pagefun I do not have that feature with my version of Matlab. For matrices, it’s opnorm that gives you the induced matrix 2-norm, \|A\|_2 = \sup_. normE arrayfun((idx) norm(E(:,:,idx),inf), 1:size(E,3)) Using arrayfun is faster than a for loop. To compute the norm of the vectorized matrix, use norm(R(:)).Actually, the previous posts have it backwards, as far as the names of the norms are concerned. To compute the vector norm of rows or columns of a matrix in MATLAB, use vecnorm (since R2017b). ![]() The 2-norm of the matrix in contrast requires a singular value decomposition, which is significantly more expensive. Computing the sum over rows or columns, and the max of the result, is quite cheap. The 1-norm and infinity-norm of the matrix are computed in a similar way, and are therefore expected to be similar in cost.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |