Module optimization_engine::matrix_operations

matrix_operations

Simple algebraic operations used by Optimization Engine

Examples

use optimization_engine::matrix_operations::*;

fn main() {
    let a = [1.0, 2.0, 3.0];
    let b = [4.0, 5.0, 6.0];

    // inner product
    let a_dot_b = inner_product(&a, &b);
    assert!(a_dot_b == 32.);

    // Euclidean norm and squared norm
    let norm_a = norm2(&a);
    let norm_sq_a = norm2_squared(&a);
    assert!(norm_sq_a == 14.);

    // Squared Euclidean norm of difference of vectors
    let norm_sq_a_minus_b = norm2_squared_diff(&a, &b);
    assert!(norm_sq_a_minus_b == 27.);

    // Sum of elements of vector
    let sum_a = sum(&a);
    assert!(sum_a == 6.);

    // Check whether all elements of a vector are finite
    assert!(is_finite(&a));

    // Infinity norm
    let norm_inf_b = norm_inf(&b);
    assert!(norm_inf_b == 6.);
}

Functions

inner_product	Calculate the inner product of two vectors
is_finite	Checks whether all elements of a vector are finite
norm1	Calculate the 1-norm of a vector
norm2	Calculate the 2-norm of a vector
norm2_squared_diff	Calculate the squared 2-norm of the difference of two vectors
norm2_squared	Calculate the 2-norm of a vector
norm_inf	Calculates the infinity-norm of a vector
norm_inf_diff	Computes the infinity norm of the difference of two vectors
sum	Calculate the sum of all elements of a vector