gmres

A sparse linear system solver using the GMRES iterative method

https://github.com/rlado/gmres

Science Score: 44.0%

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Keywords

gmres linear-algebra math rust sparse-matrix
Last synced: 6 months ago · JSON representation ·

Repository

A sparse linear system solver using the GMRES iterative method

Basic Info
  • Host: GitHub
  • Owner: RLado
  • License: mit
  • Language: Rust
  • Default Branch: master
  • Homepage:
  • Size: 151 KB
Statistics
  • Stars: 2
  • Watchers: 1
  • Forks: 1
  • Open Issues: 0
  • Releases: 1
Topics
gmres linear-algebra math rust sparse-matrix
Created almost 3 years ago · Last pushed almost 2 years ago
Metadata Files
Readme License Citation

README.md

GMRES: Generalized minimum residual method

A sparse linear system solver using the GMRES iterative method.

GitHub Workflow Status Crates.io Crates.io


This crates provides a solver for Ax=b linear problems using the GMRES method. Sparse matrices are a common representation for many real-world problems commonly found in engineering and scientific applications. This implementation of the GMRES method is specifically tailored to sparse matrices, making it an efficient and effective tool for solving large linear systems arising from real-world problems.

Example:

Solve a linear system

```rust use gmres; use rsparse::data::Sprs;

fn main() { // Define an arbitrary matrix A let a = Sprs::newfromvec(&[ vec![0.888641, 0.477151, 0.764081, 0.244348, 0.662542], vec![0.695741, 0.991383, 0.800932, 0.089616, 0.250400], vec![0.149974, 0.584978, 0.937576, 0.870798, 0.990016], vec![0.429292, 0.459984, 0.056629, 0.567589, 0.048561], vec![0.454428, 0.253192, 0.173598, 0.321640, 0.632031], ]);

// Define a vector `b`
let b = vec![0.104594, 0.437549, 0.040264, 0.298842, 0.254451];

// Provide an initial guess
let mut x = vec![0.; b.len()];

// Solve for `x`
gmres::gmres(&a, &b, &mut x, 100, 1e-5).unwrap();

// Check if the result is correct
gmres::test_utils::assert_eq_f_vec(
    &x,
    &vec![0.037919, 0.888551, -0.657575, -0.181680, 0.292447],
    1e-5,
);

} ```

Owner

  • Name: Ricard Lado
  • Login: RLado
  • Kind: user
  • Location: Barcelona
  • Company: Universitat Ramon Llull (IQS School of Engineering)

PhD Candidate. I love Linux and all things open source.

Citation (CITATION.cff)

cff-version: 1.2.0
title: GMRES
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - family-names: Lado-Roigé
    given-names: Ricard
    orcid: 'https://orcid.org/0000-0002-6421-7351'
repository-code: 'https://github.com/RLado/GMRES'
url: 'https://crates.io/crates/gmres'
abstract: >-
  A sparse linear system solver using the GMRES iterative method implemented in Rust
keywords:
  - sparse-matrices
  - linear-algebra
  - math
  - rust
  - GMRES
license: MIT
version: 1.0.0
date-released: '2024-04-12'

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Packages

  • Total packages: 1
  • Total downloads:
    • cargo 4,693 total
  • Total dependent packages: 0
  • Total dependent repositories: 0
  • Total versions: 4
  • Total maintainers: 1
crates.io: gmres

A sparse linear system solver using the GMRES iterative method.

  • Versions: 4
  • Dependent Packages: 0
  • Dependent Repositories: 0
  • Downloads: 4,693 Total
Rankings
Dependent repos count: 29.0%
Dependent packages count: 34.4%
Average: 54.1%
Downloads: 98.9%
Maintainers (1)
Last synced: 6 months ago

Dependencies

.github/workflows/rust.yml actions
  • actions/checkout v3 composite
Cargo.toml cargo