/usr/include/matdet.h is in libalglib-dev 2.6.0-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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Copyright (c) 2005-2007, Sergey Bochkanov (ALGLIB project).
>>> SOURCE LICENSE >>>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation (www.fsf.org); either version 2 of the
License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
A copy of the GNU General Public License is available at
http://www.fsf.org/licensing/licenses
>>> END OF LICENSE >>>
*************************************************************************/
#ifndef _matdet_h
#define _matdet_h
#include "ap.h"
#include "ialglib.h"
#include "reflections.h"
#include "creflections.h"
#include "hqrnd.h"
#include "matgen.h"
#include "ablasf.h"
#include "ablas.h"
#include "trfac.h"
/*************************************************************************
Determinant calculation of the matrix given by its LU decomposition.
Input parameters:
A - LU decomposition of the matrix (output of
RMatrixLU subroutine).
Pivots - table of permutations which were made during
the LU decomposition.
Output of RMatrixLU subroutine.
N - size of matrix A.
Result: matrix determinant.
-- ALGLIB --
Copyright 2005 by Bochkanov Sergey
*************************************************************************/
double rmatrixludet(const ap::real_2d_array& a,
const ap::integer_1d_array& pivots,
int n);
/*************************************************************************
Calculation of the determinant of a general matrix
Input parameters:
A - matrix, array[0..N-1, 0..N-1]
N - size of matrix A.
Result: determinant of matrix A.
-- ALGLIB --
Copyright 2005 by Bochkanov Sergey
*************************************************************************/
double rmatrixdet(ap::real_2d_array a, int n);
/*************************************************************************
Determinant calculation of the matrix given by its LU decomposition.
Input parameters:
A - LU decomposition of the matrix (output of
RMatrixLU subroutine).
Pivots - table of permutations which were made during
the LU decomposition.
Output of RMatrixLU subroutine.
N - size of matrix A.
Result: matrix determinant.
-- ALGLIB --
Copyright 2005 by Bochkanov Sergey
*************************************************************************/
ap::complex cmatrixludet(const ap::complex_2d_array& a,
const ap::integer_1d_array& pivots,
int n);
/*************************************************************************
Calculation of the determinant of a general matrix
Input parameters:
A - matrix, array[0..N-1, 0..N-1]
N - size of matrix A.
Result: determinant of matrix A.
-- ALGLIB --
Copyright 2005 by Bochkanov Sergey
*************************************************************************/
ap::complex cmatrixdet(ap::complex_2d_array a, int n);
/*************************************************************************
Determinant calculation of the matrix given by the Cholesky decomposition.
Input parameters:
A - Cholesky decomposition,
output of SMatrixCholesky subroutine.
N - size of matrix A.
As the determinant is equal to the product of squares of diagonal elements,
it�s not necessary to specify which triangle - lower or upper - the matrix
is stored in.
Result:
matrix determinant.
-- ALGLIB --
Copyright 2005-2008 by Bochkanov Sergey
*************************************************************************/
double spdmatrixcholeskydet(const ap::real_2d_array& a, int n);
/*************************************************************************
Determinant calculation of the symmetric positive definite matrix.
Input parameters:
A - matrix. Array with elements [0..N-1, 0..N-1].
N - size of matrix A.
IsUpper - if IsUpper = True, then the symmetric matrix A is given by
its upper triangle, and the lower triangle isn�t used by
subroutine. Similarly, if IsUpper = False, then A is given
by its lower triangle.
Result:
determinant of matrix A.
If matrix A is not positive definite, then subroutine returns -1.
-- ALGLIB --
Copyright 2005-2008 by Bochkanov Sergey
*************************************************************************/
double spdmatrixdet(ap::real_2d_array a, int n, bool isupper);
#endif
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