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multisym

PURPOSE ^

Returns the symmetric parts of the matrices in a 3D array

SYNOPSIS ^

function Y = multisym(X)

DESCRIPTION ^

 Returns the symmetric parts of the matrices in a 3D array

 function Y = multisym(X)

 Y is a 3D array the same size as X. Each slice Y(:, :, i) is the
 symmetric part of the slice X(:, :, i), that is,

   Y(:, :, i) = .5*(X(:, :, i) + X(:, :, i).')

 Note that we do not take complex conjugates. For this, see multiherm.

 See also: multiherm multiskew multiskewh multiprod multitransp multiscale

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function Y = multisym(X)
0002 % Returns the symmetric parts of the matrices in a 3D array
0003 %
0004 % function Y = multisym(X)
0005 %
0006 % Y is a 3D array the same size as X. Each slice Y(:, :, i) is the
0007 % symmetric part of the slice X(:, :, i), that is,
0008 %
0009 %   Y(:, :, i) = .5*(X(:, :, i) + X(:, :, i).')
0010 %
0011 % Note that we do not take complex conjugates. For this, see multiherm.
0012 %
0013 % See also: multiherm multiskew multiskewh multiprod multitransp multiscale
0014 
0015 % This file is part of Manopt: www.manopt.org.
0016 % Original author: Nicolas Boumal, Jan. 31, 2013.
0017 % Contributors:
0018 % Change log:
0019 
0020     Y = .5*(X + multitransp(X));
0021     
0022 end

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