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Determinant Using Lu Factorization: Example and Test
 

# include <cppad/cppad.hpp>
# include <cppad/speed/det_by_lu.hpp>

bool det_by_lu()
{	bool ok = true;

	// dimension of the matrix
	size_t n = 3;

	// construct the determinat object
	CppAD::det_by_lu<double> Det(n);

	double  a[] = {
		1., 2., 3.,  // a[0] a[1] a[2]
		3., 2., 1.,  // a[3] a[4] a[5]
		2., 1., 2.   // a[6] a[7] a[8]
	};
	CPPAD_TEST_VECTOR<double> A(9);
	size_t i;
	for(i = 0; i < 9; i++)
		A[i] = a[i];


	// evaluate the determinant
	double det = Det(A);

	double check;
	check = a[0]*(a[4]*a[8] - a[5]*a[7])
	      - a[1]*(a[3]*a[8] - a[5]*a[6])
	      + a[2]*(a[3]*a[7] - a[4]*a[6]);

	ok = CppAD::NearEqual(det, check, 1e-10, 1e-10);

	return ok;
}


Input File: speed/example/det_by_lu.cpp