small_sigmas_increase

Repository Description:

Τhis repository contains the code for reproducing the results presented in the paper titled Small singular values can increase in lower precision .The purpose of this code is to generate matrices $A \in \mathbb{R}^{m \times n}$ with fixed singular values $\Sigma$ and subsequently compute the singular values in double, single, and half precision.

Installation Requirements:

• Ensure you have Julia installed for performing major computations.
• Python is required for generating plots.
• If you're using Visual Studio Code, setting up a Python virtual environment is recommended. For instructions, please visit this link.

Before running the code, please review the description and examples provided at the beginning of the run.jl script. To reproduce the examples from the paper, you can use the run_fixed_cases.jl script. The corresponding data and figures from the paper are located in the data/, figures/ folders respectively.