mola 0.1.0

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.

The documentation will likely improve after I learn to leverage docstrings properly.

Getting started

WIP

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 norm implemented right now)
• class wrapping generalized least squares in an approachable interface
• Gauss-Newton iteration
• Levenberg-Marquardt algorithm
• regularized least squares
• simple decompositions
• support for complex numbers

License

MIT License

Copyright (c) 2023 Jere Lavikainen

Permission is hereby granted, free of charge, to any person obtaining a copy
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The above copyright notice and this permission notice shall be included in all
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