43 lines
1.3 KiB
C
43 lines
1.3 KiB
C
#include <qpms/beyn.h>
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#include <stdio.h>
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// Matrix as in Beyn, section 4.11
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int M_function(gsl_matrix_complex *target, complex double z, void *no_params) {
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int m = target->size1;
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gsl_complex d = gsl_complex_fromstd( 2*m - 4*z / (6*m) );
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gsl_complex od = gsl_complex_fromstd( -(double)m - z / (6*m) );
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gsl_matrix_complex_set_zero(target);
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for (int i = 0; i < m; ++i) {
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gsl_matrix_complex_set(target, i, i, d);
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if(i > 0) gsl_matrix_complex_set(target, i, i-1, od);
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if(i < m - 1) gsl_matrix_complex_set(target, i, i+1, od);
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}
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gsl_matrix_complex_set(target, m-1, m-1, gsl_complex_fromstd(gsl_complex_tostd(d)/2 + z/(z-1)));
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return 0;
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}
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int main() {
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complex double z0 = 150+2*I;
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double Rx = 148, Ry = 148;
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int L = 10, N = 50, dim = 400;
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beyn_contour_t *contour = beyn_contour_ellipse(z0, Rx, Ry, N);
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beyn_result_gsl_t *result =
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beyn_solve_gsl(dim, L, M_function, NULL /*M_inv_Vhat_function*/, NULL /*params*/,
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contour, 1e-4, 1, 1e-4);
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printf("Found %zd eigenvalues:\n", result->neig);
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for (size_t i = 0; i < result->neig; ++i) {
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gsl_complex eig = gsl_vector_complex_get(result->eigval, i);
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printf("%zd: %g%+gj\n", i, GSL_REAL(eig), GSL_IMAG(eig));
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}
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free(contour);
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beyn_result_gsl_free(result);
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return 0;
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}
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