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testing eigenvectors

This commit is contained in:
Marc Haubenstock 2022-10-23 21:43:33 +02:00
parent aa89cda0cd
commit 84c37b79dd
1 changed files with 11 additions and 2 deletions
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13
nalgebra-lapack/examples/complex_eigen.rs
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@ -7,18 +7,27 @@ use na::Matrix3;
use nalgebra_lapack::Eigen; use nalgebra_lapack::Eigen;
use num_complex::Complex; use num_complex::Complex;
//Matrix taken from https://textbooks.math.gatech.edu/ila/1553/complex-eigenvalues.html
fn main() { fn main() {
let m = Matrix3::<f64>::new(4.0/5.0, -3.0/5.0, 0.0, 3.0/5.0, 4.0/5.0, 0.0, 1.0, 2.0, 2.0); let m = Matrix3::<f64>::new(4.0/5.0, -3.0/5.0, 0.0, 3.0/5.0, 4.0/5.0, 0.0, 1.0, 2.0, 2.0);
let eigen = Eigen::new(m,true,true).expect("Eigen Creation Failed!"); let eigen = Eigen::new(m,true,true).expect("Eigen Creation Failed!");
let (some_eigenvalues, some_left_vec, some_right_vec) = eigen.get_complex_elements(); let (some_eigenvalues, some_left_vec, some_right_vec) = eigen.get_complex_elements();
let eigenvalues = some_eigenvalues.expect("Eigenvalues Failed"); let eigenvalues = some_eigenvalues.expect("Eigenvalues Failed");
let left_eigenvectors = some_left_vec.expect("Left Eigenvectors Failed"); let _left_eigenvectors = some_left_vec.expect("Left Eigenvectors Failed");
let eigenvectors = some_right_vec.expect("Right Eigenvectors Failed"); let eigenvectors = some_right_vec.expect("Right Eigenvectors Failed");
assert_relative_eq!(eigenvalues[0].re, Complex::<f64>::new(4.0/5.0,3.0/5.0).re); assert_relative_eq!(eigenvalues[0].re, Complex::<f64>::new(4.0/5.0,3.0/5.0).re);
assert_relative_eq!(eigenvalues[0].im, Complex::<f64>::new(4.0/5.0,3.0/5.0).im); assert_relative_eq!(eigenvalues[0].im, Complex::<f64>::new(4.0/5.0,3.0/5.0).im);
assert_relative_eq!(eigenvalues[1].re, Complex::<f64>::new(4.0/5.0,-3.0/5.0).re); assert_relative_eq!(eigenvalues[1].re, Complex::<f64>::new(4.0/5.0,-3.0/5.0).re);
assert_relative_eq!(eigenvalues[1].im, Complex::<f64>::new(4.0/5.0,-3.0/5.0).im); assert_relative_eq!(eigenvalues[1].im, Complex::<f64>::new(4.0/5.0,-3.0/5.0).im);
assert_relative_eq!(eigenvectors[0][0].re, -12.0/32.7871926215100059134410999);
assert_relative_eq!(eigenvectors[0][0].im, -9.0/32.7871926215100059134410999);
assert_relative_eq!(eigenvectors[0][1].re, -9.0/32.7871926215100059134410999);
assert_relative_eq!(eigenvectors[0][1].im, 12.0/32.7871926215100059134410999);
assert_relative_eq!(eigenvectors[0][2].re, 25.0/32.7871926215100059134410999);
assert_relative_eq!(eigenvectors[0][2].im, 0.0);
} }