Campus Livre
pagenorm
Norm of each page of a 3-D array.
Category: Mathematics > Linear Algebra
Syntax
n = pagenorm(A)Returns the 2-norm of every page A(:,:,k).
n = pagenorm(A, p)Uses the norm type p: 1, 2, Inf or 'fro'.
Description
pagenorm applies norm to each 2-D page without a loop, returning the results along the third dimension. Use squeeze to turn them into a vector.
Input arguments
A- Array whose pages are matrices.
p- Norm type, default 2.
Output arguments
n- Array of size
1-by-1-by-p, one norm per page.
Example
Norms of two row-vector pages
A = cat(3, [3 4], [6 8]);
n = pagenorm(A);
squeeze(n)'
size(n)Output
ans = 1×2
5 10
ans = 1×3
1 1 2