annotate mftoolbox/sqrtm_pd.m @ 8:a587712dcf5f draft default tip

funm_atom.m: rename fun_atom to funm_atom * funm_atom.m: rename fun_atom to funm_atom.
author Antonio Pino Robles <data.script93@gmail.com>
date Fri, 29 May 2015 09:48:36 +0200
parents 8f23314345f4
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
0
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
1 function [X,k] = sqrtm_pd(A)
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
2 %SQRTM_PD Square root of positive definite matrix via polar decomposition.
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
3 % [X,K] = SQRT_PD(A) computes the Hermitian positive definite
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
4 % square root X of the Hermitian positive definite matrix A.
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
5 % It computes the Hermitian polar factor of the Cholesky factor of A.
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
6 % K is the number of Newton polar iterations used.
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
7
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
8 R = chol(A);
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
9 [U,H,k] = polar_newton(R);
8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff changeset
10 X = H;