Check out the latest superpixel benchmark — Superpixel Benchmark (2016) — and let me know your opinion! @david_stutz


PHP Matrix Decompositions

This library implements common matrix decompositions in PHP. An interactive demo application provides the theoretical background and can be used to compute these matrix decompositions. The following table provides an overview:

Decomposition Factorization Applicable for Runtime
LU $A = LU$ $A \in \mathbb{R}^{n \times n}$, $A$ regular $\mathcal{O}(\frac{1}{3}n^3)$
Cholesky $A = LDL^T$ $A \in \mathbb{R}^{n \times n}$, $A$ symmetric and positive definite $\mathcal{O}(\frac{1}{6}n^3)$
QR: Givens Rotations $A = QR$ $A \in \mathbb{R}^{m \times n}$ $\mathcal{O}(\frac{4}{3}n^3)$
QR: Householder Transformations $A = QR$ $A \in \mathbb{R}^{m \times n}$ $\mathcal{O}(\frac{2}{3}n^3)$

The demonstration application is available on GitHub as well, however, as separate repository.

PHP Matrix Decompositions on GitHub Demonstration Application Demonstration Application on GitHub

What is your opinion on this article? Did you find it interesting or useful? Let me know your thoughts in the comments below or get in touch with me: