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Re: About matrix norms
Posted:
Jan 23, 2013 4:16 AM


"Martti" wrote in message <kdo9bl$5a8$1@newscl01ah.mathworks.com>... > I'm looking for matrix norms that would satisfy > > xnorm(A) == 1/xnorm(inv(A)) > > so that after scaling the matrix with the norm, > > Asc = A / xnorm(A) > > both xnorm(Asc)==1 and xnorm(inv(Asc))==1 . > > Seems to be a norm defined as > > function [ value ] = xnorm( A ) > %XNORM Matrix norm > [~, s, ~] = svd(A); > value = prod(diag(s))^(1/numel(diag(s))); > end >
prod(diag(s)) is the same as sqrt(det(A'*A)) or sqrt(det(A*A'))
Bruno



