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