https://github.com/flaport/eigs

Find Eigenvalues and Eigenvectors with Rust using UMFPACK + ARPACK
https://github.com/flaport/eigs

arpack eigenvalues eigenvectors eigs eigsh modes modesolver numpy python rust scipy suitesparse umfpack

Last synced: 15 days ago
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Find Eigenvalues and Eigenvectors with Rust using UMFPACK + ARPACK

• Host: GitHub
• URL: https://github.com/flaport/eigs
• Owner: flaport
• License: lgpl-2.1
• Created: 2023-09-04T23:20:21.000Z (about 1 year ago)
• Default Branch: master
• Last Pushed: 2023-09-09T22:29:02.000Z (about 1 year ago)
• Last Synced: 2024-10-29T20:19:36.884Z (17 days ago)
• Topics: arpack, eigenvalues, eigenvectors, eigs, eigsh, modes, modesolver, numpy, python, rust, scipy, suitesparse, umfpack
• Language: Rust
• Homepage: https://crates.io/crates/eigs-rs
• Size: 41 KB
• Stars: 3
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# eigs (Rust/Python Package)

Find Eigenvalues and Eigenvectors with Rust/Python using UMFPACK + ARPACK.

## Packages

- Rust Library: `eigs` @ [crates.io](https://crates.io/crates/eigs): `cargo add eigs`

- Python Library: `eigs` @ [pypi.org](https://pypi.org/project/eigs): `pip install eigs` (Linux Only for now)

## Examples

### `eigs` (The Python Package)

```python

import numpy as np

from scipy.sparse import csc_matrix

from eigs import eigs

data = np.array([ 0.+4.j,  2.+3.j,  4.+0.j,  0.-2.j, -3.+3.j,  0.-1.j,

                 -3.-3.j,  4.-4.j, -4.+0.j,  4.+1.j, -4.-1.j,  4.+2.j,

                  3.+2.j,  0.+2.j, -4.+0.j, -4.+1.j, -4.+2.j, -2.+2.j,

                 -1.-2.j,  0.+3.j, -3.+0.j,  4.+0.j, -1.+3.j])  # fmt: skip

indices = np.array([6, 1, 4, 5, 7, 2, 3, 4, 5, 6, 7, 1,

                    1, 3, 3, 4, 0, 2, 5, 6, 3, 6, 7])  # fmt: skip

indptr = np.array([0, 1, 5, 11, 12, 14, 16, 20, 23])

A = csc_matrix((data, indices, indptr))

vals, vecs = eigs(A=A, num_eigs=4, sigma=-2.0 + 7.0j)

for i, val in enumerate(vals):

    print(f"{i}: {val.real} + {val.imag}j")

```

```

0: -2.3310185657008846 + 7.624960781252993j

1: -4.525347075933688 + 1.8131068538310453j

2: 5.301183172745191 + 4.2055904210543575j

3: 0.1713950830265607 + 0.46316839127801934j

```

- [Read More...](python)

### `eigs` (The Rust Package)

```rust

#[allow(non_snake_case)]

fn main() {

    use eigs::eigs::eigs;

    use num_complex::Complex64;

    let k = 4; // number of eigenvalues we want returned

    let n = 8; // nxn matrix A

    let Ap = vec![0, 1, 5, 11, 12, 14, 16, 20, 23];

    let Ai = vec![6, 1, 4, 5, 7, 2, 3, 4, 5, 6, 7, 1, 1, 3, 3, 4, 0, 2, 5, 6, 3, 6, 7];

    let Are = vec![0., 2., 4., 0., -3., 0., -3., 4., -4., 4., -4., 4., 3., 0., -4., -4., -4., -2., -1., 0., -3., 4., -1.];

    let Aim = vec![4., 3., 0., -2., 3., -1., -3., -4., 0., 1., -1., 2., 2., 2., 0., 1., 2., 2., -2., 3., 0., 0., 3.];

    let Ax: Vec = Are.iter().zip(Aim.iter())

        .map(|(re, im)| Complex64 { re: *re, im: *im })

        .collect();

    let sigma = Complex64 { re: -2.0, im: 7.0 };

    let (vals, _) = eigs(k, n, &Ap, &Ai, &Ax, sigma, None);

    for (i, val) in vals.iter().enumerate() {

        println!("{}: {} + {}j", i, val.re, val.im);

    }

}

```

```

0: -2.3310185657008846 + 7.624960781252993j

1: -4.525347075933688 + 1.8131068538310453j

2: 5.301183172745191 + 4.2055904210543575j

3: 0.1713950830265607 + 0.46316839127801934j

```

- [Read More...](rust)

## License & Credits

© Floris Laporte 2023, LGPL-2.1