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| 1 | +use ndarray::*; |
| 2 | +use ndarray_linalg::{krylov::*, *}; |
| 3 | + |
| 4 | +#[test] |
| 5 | +fn aq_qh_mgs() { |
| 6 | + let a: Array2<f64> = random((5, 5)); |
| 7 | + let v: Array1<f64> = random(5); |
| 8 | + let (q, h) = arnoldi_mgs(a.clone(), v, 1e-9); |
| 9 | + println!("A = \n{:?}", &a); |
| 10 | + println!("Q = \n{:?}", &q); |
| 11 | + println!("H = \n{:?}", &h); |
| 12 | + let aq = a.dot(&q); |
| 13 | + let qh = q.dot(&h); |
| 14 | + println!("AQ = \n{:?}", &aq); |
| 15 | + println!("QH = \n{:?}", &qh); |
| 16 | + close_l2(&aq, &qh, 1e-9); |
| 17 | +} |
| 18 | + |
| 19 | +#[test] |
| 20 | +fn aq_qh_householder() { |
| 21 | + let a: Array2<f64> = random((5, 5)); |
| 22 | + let v: Array1<f64> = random(5); |
| 23 | + let (q, h) = arnoldi_mgs(a.clone(), v, 1e-9); |
| 24 | + println!("A = \n{:?}", &a); |
| 25 | + println!("Q = \n{:?}", &q); |
| 26 | + println!("H = \n{:?}", &h); |
| 27 | + let aq = a.dot(&q); |
| 28 | + let qh = q.dot(&h); |
| 29 | + println!("AQ = \n{:?}", &aq); |
| 30 | + println!("QH = \n{:?}", &qh); |
| 31 | + close_l2(&aq, &qh, 1e-9); |
| 32 | +} |
| 33 | + |
| 34 | +#[test] |
| 35 | +fn aq_qh_mgs_complex() { |
| 36 | + let a: Array2<c64> = random((5, 5)); |
| 37 | + let v: Array1<c64> = random(5); |
| 38 | + let (q, h) = arnoldi_mgs(a.clone(), v, 1e-9); |
| 39 | + println!("A = \n{:?}", &a); |
| 40 | + println!("Q = \n{:?}", &q); |
| 41 | + println!("H = \n{:?}", &h); |
| 42 | + let aq = a.dot(&q); |
| 43 | + let qh = q.dot(&h); |
| 44 | + println!("AQ = \n{:?}", &aq); |
| 45 | + println!("QH = \n{:?}", &qh); |
| 46 | + close_l2(&aq, &qh, 1e-9); |
| 47 | +} |
| 48 | + |
| 49 | +#[test] |
| 50 | +fn aq_qh_householder_complex() { |
| 51 | + let a: Array2<c64> = random((5, 5)); |
| 52 | + let v: Array1<c64> = random(5); |
| 53 | + let (q, h) = arnoldi_mgs(a.clone(), v, 1e-9); |
| 54 | + println!("A = \n{:?}", &a); |
| 55 | + println!("Q = \n{:?}", &q); |
| 56 | + println!("H = \n{:?}", &h); |
| 57 | + let aq = a.dot(&q); |
| 58 | + let qh = q.dot(&h); |
| 59 | + println!("AQ = \n{:?}", &aq); |
| 60 | + println!("QH = \n{:?}", &qh); |
| 61 | + close_l2(&aq, &qh, 1e-9); |
| 62 | +} |
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