Module optimization_engine::matrix_operations

matrix_operations

Simple algebraic operations used by Optimization Engine

Examples

use optimization_engine::matrix_operations::*;

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

Calculate the 2-norm of a vector

norm2_squared_diff

Calculate the squared 2-norm of the difference of two vectors

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