Matrix

Matrix is a linear algebra library for manipulating dense matrices. Its primary design goal is ease of use. It is desirable that the Matrix package interact with standard Elixir language constructs and other packages. The underlying storage mechanism is, therefore, Elixir lists.

A secondary design consideration is for the module to be reasonably efficient in terms of both memory usage and computations. Unfortunately there is a trade off between memory efficiency and computational efficiency. Where these requirements conflict Matrix will use the more computationally efficient algorithm.

Each matrix is represented as a "list of lists" whereby a 3x4 matrix is represented by a list of three items, with each item a list of 4 values. Constructors are provided for several common matrix configurations including zero filled, one filled, random filled the identity matrix, etc.

Examples

iex> Matrix.new(3, 4)
[[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]

iex> Matrix.ident(4)
[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]

Installation

If available in Hex, the package can be installed as:

1. Add matrix to your list of dependencies in mix.exs:

   def deps do [{:matrix, "~> 0.0.1"}] end

2. Ensure matrix is started before your application:

   def application do [applications: [:matrix]] end