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>

template <class T> class AimsData;



AIMSDATA_API float
AimsDecompositionLU(AimsData<float> &a,
                    AimsData<int32_t>  &indx);

AIMSDATA_API void AimsBackSubstitutionLU(AimsData<float> &a,
                                         AimsData<int32_t>  &indx,
                                         AimsData<float> &b);


AIMSDATA_API AimsData<float> 
AimsInversionLU(const AimsData<float> &matrix);
AIMSDATA_API AimsData< cfloat > 
AimsInversionLU(const AimsData< cfloat > &matrix);


AIMSDATA_API AimsData<float> 
AimsLinearResolutionLU(const AimsData<float> &matrix,
                       const AimsData<float> &b);
AIMSDATA_API AimsData< cfloat >
AimsLinearResolutionLU(const AimsData< cfloat > &matrix,
                       const AimsData< cfloat > &b);


AIMSDATA_API float
AimsDeterminantLU(const AimsData<float> &matrix);

AIMSDATA_API void
AimsToeplitz( const AimsData<float>& r,
              const AimsData<float>& y,
              AimsData<float>& x );


#endif