#*****************************************************************************80
#
## choleskymatrix_test tests choleskymatrix.
#
#  Licensing:
#
#    Copyright 2016 James P. Howard, II
#
#    The computer code and data files on this web page are distributed under
#    https://opensource.org/licenses/BSD-2-Clause, the BSD-2-Clause license.
#
#  Modified:
#
#    15 February 2020
#
#  Author:
#
#    John Burkardt
#
cat ( date ( ), "\n" )
cat ( "\n" )
cat ( "choleskymatrix_test\n" )
cat ( " ", version$version.string, "\n" )
cat ( "  choleskymatrix(A) computes the Cholesky L L' factorization of a matrix.\n" )

source ( "/home/burkardt/public_html/r_src/choleskymatrix/choleskymatrix.R" ) 

cat ( "\n" )

A <- matrix ( c ( 5, 1, 2, 1, 9, 3, 2, 3, 7 ), 3 )

cat ( "\n" )
cat ( "The matrix A:\n" )
cat ( "\n" )
A

L <- choleskymatrix ( A )

cat ( "\n" )
cat ( "The L Cholesky factor of A:\n" )
cat ( "\n" )
L

LTL <- L %*% t(L)
cat ( "\n" )
cat ( "The product L L':\n" )
cat ( "\n" )
LTL
#
#  Terminate.
#
cat ( "\n" )
cat ( "choleskymatrix_test\n" )
cat ( "  Normal end of execution.\n" )
cat ( date ( ), "\n" )

quit ( )