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dsqrtm

PURPOSE ^

Fréchet derivative of the matrix square root.

SYNOPSIS ^

function D = dsqrtm(X, H)

DESCRIPTION ^

 Fréchet derivative of the matrix square root.

 function D = dsqrtm(X, H)

 Computes the directional derivative (the Fréchet derivative) of sqrtm at
 X along H (square matrices).

 Thus, D = lim_(t -> 0) (sqrtm(X + tH) - sqrtm(X)) / t.
 
 See also: dfunm dlogm dexpm

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function D = dsqrtm(X, H)
0002 % Fréchet derivative of the matrix square root.
0003 %
0004 % function D = dsqrtm(X, H)
0005 %
0006 % Computes the directional derivative (the Fréchet derivative) of sqrtm at
0007 % X along H (square matrices).
0008 %
0009 % Thus, D = lim_(t -> 0) (sqrtm(X + tH) - sqrtm(X)) / t.
0010 %
0011 % See also: dfunm dlogm dexpm
0012 
0013 % This file is part of Manopt: www.manopt.org.
0014 % Original author: Nicolas Boumal, July 3, 2015.
0015 % Contributors:
0016 % Change log:
0017     
0018     D = dfunm(@sqrtm, X, H);
0019     
0020 end

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