mola 1.0.0

Matrix operations and linear algebra (mola) library without external dependencies

Matrix operations and linear algebra (mola) library for vanilla Python

• Introduction
• Getting started
• Prerequisites
• Classes
  • Matrix
• License

Introduction

mola is a Python library for doing algebra with matrices. It covers the basic operations such as matrix addition and multiplication, transposes, and inverse. It is written without any external Python libraries.

I wrote mola as a hobby project to remind myself of the linear algebra I studied in uni and to practice my Python programming. Particularly, this is an exercise in publishing my first Python library.

Getting started

Install with "pip install mola" or the GitHub repository for a more recent version.

See main.py for examples and read the documentation.

Prerequisites

• Python 3.x (written on Python 3.9, so that's sure to work)

Classes

Matrix

Matrix is the main class of mola. In practice, the elements of the matrix are implemented with lists. Most of its functionality involves calling methods from this class. However, for a more user-friendly approach, I plan on implementing some wrapper functions you can call directly (e.g., "linear_least_squares()" to perform linear regression).

TODO:

• checks to see if matrix is positive/negative definite/semidefinite
• different matrix norms (only Frobenius and Euclidean norm implemented right now)
• Gauss-Newton iteration
• Levenberg-Marquardt algorithm
• regularized least squares
• more decompositions (only QR implemented so far)

License

MIT License

Copyright (c) 2023 Jere Lavikainen

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
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furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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