gausslu.h

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/*
 *  Inversion and determinant of a matrix.
 */
#ifndef AIMS_MATH_GAUSSLU_H
#define AIMS_MATH_GAUSSLU_H
 
#include <aims/config/aimsdata_config.h>
#include <aims/def/general.h>
 
namespace carto
{
  template <class T> class VolumeRef;
}
 



float
AimsDecompositionLU( carto::VolumeRef<float> &a,
                     carto::VolumeRef<int32_t>  &indx );


void AimsBackSubstitutionLU( const carto::VolumeRef<float> &a,
                             const carto::VolumeRef<int32_t>  &indx,
                             carto::VolumeRef<float> &b );
 


carto::VolumeRef<float>
AimsInversionLU( const carto::VolumeRef<float> &matrix );
carto::VolumeRef< cfloat >
AimsInversionLU( const carto::VolumeRef< cfloat > &matrix );
 


carto::VolumeRef<float>
AimsLinearResolutionLU( const carto::VolumeRef<float> &matrix,
                        const carto::VolumeRef<float> &b );
carto::VolumeRef< cfloat >
AimsLinearResolutionLU( const carto::VolumeRef< cfloat > &matrix,
                        const carto::VolumeRef< cfloat > &b );
 


float
AimsDeterminantLU( const carto::VolumeRef<float> &matrix );


void
AimsToeplitz( const carto::VolumeRef<float>& r,
              const carto::VolumeRef<float>& y,
              carto::VolumeRef<float>& x );

 
#endif