Crate linear_algebra_42 

Linear Algebra Library

A comprehensive linear algebra library in Rust, offering support for operations with vectors, matrices, and complex numbers.

Main Features

• Vectors: Basic operations like addition, scalar multiplication, dot product, and norm
• Matrices: Matrix operations including multiplication, transposition, and inversion
• Complex Numbers: Complete support for complex arithmetic with conjugate operations
• Interpolation: Linear interpolation functions
• Cross Products: 3D cross product calculations
• Linear Combinations: Linear combination operations for vectors

Usage Examples

Vector Operations

use linear_algebra_42::Vector;

let v1 = Vector::from(vec![1.0, 2.0, 3.0]);
let v2 = Vector::from(vec![4.0, 5.0, 6.0]);

// Vector addition
let sum = v1.add_new(&v2);

// Dot product
let dot = v1.dot(&v2);

// Vector norm
let norm = v1.norm();

Matrix Operations

use linear_algebra_42::Matrix;

let matrix = Matrix::from([
    [1.0, 2.0],
    [3.0, 4.0]
]);

// Transposition
let transposed = matrix.transpose();

// Matrix multiplication
let result = matrix.mul_mat(&transposed);

Complex Numbers

use linear_algebra_42::{Complex, traits::Magnitude};

let z1 = Complex::new(3.0, 4.0);
let z2 = Complex::new(1.0, 2.0);

// Complex addition
let sum = z1 + z2;

// Conjugate
let conj = z1.conjugate();

// Magnitude
let mag = z1.magnitude();

Re-exports

pub use angle_cos::angle_cos;

pub use complex::Complex;

pub use cross_product::cross_product;

pub use errors::InterpolationError;

pub use errors::LinearCombinationError;

pub use errors::MatrixInverseError;

pub use interpolate::lerp;

pub use linear_combination::linear_combination;

pub use matrix::Matrix;

pub use traits::Conjugate;

pub use traits::Magnitude;

pub use traits::Negative;

pub use traits::One;

pub use traits::Zero;

pub use vector::Vector;

Modules

angle_cos

complex

cross_product

Cross Product

display

errors

Library Error Types

interpolate

Linear Interpolation

linear_combination

matrix

traits

Fundamental Traits for Linear Algebra

vector