cnormfro

 Computes the Frobenius norm of X

 function Xnormfro = cnormfro(X)

 Returns the Frobenius norm of X. This function can be seen as 
 norm(...,'fro') but is compatible with dlarrays and structs with fields
 real and imag. Supports both real and complex numbers.

 See also: manoptADhelp

0001 function Xnormfro = cnormfro(X)
0002 % Computes the Frobenius norm of X
0003 %
0004 % function Xnormfro = cnormfro(X)
0005 %
0006 % Returns the Frobenius norm of X. This function can be seen as
0007 % norm(...,'fro') but is compatible with dlarrays and structs with fields
0008 % real and imag. Supports both real and complex numbers.
0009 %
0010 % See also: manoptADhelp
0011 
0012 % This file is part of Manopt: www.manopt.org.
0013 % Original author: Xiaowen Jiang, July. 31, 2021.
0014 % Contributors: Nicolas Boumal
0015 % Change log:
0016 
0017     if iscstruct(X)
0018         Xnormfro = sqrt(cinnerprodgeneral(X,X));
0019         
0020     elseif isnumeric(X)
0021         if isreal(X)
0022             Xnormfro = sqrt(X(:)'*X(:));
0023         else
0024             Xnormfro = sqrt(sum(real(conj(X(:)).*X(:))));
0025         end
0026         
0027     else
0028         ME = MException('cnormfro:inputError', ...
0029                         'Input does not have the expected format.');
0030         throw(ME);
0031         
0032     end
0033 
0034 end