Numerical computation of H-bases

TL;DR

This paper introduces a numerically stable method for computing H-bases using singular value decomposition to find minimal syzygy modules, demonstrated through various examples.

Contribution

It presents a novel numerical approach for H-basis computation that enhances stability and efficiency over traditional methods.

Findings

Method is numerically stable and reliable.

Demonstrated effectiveness through multiple examples.

Improves computational efficiency for H-bases.

Abstract

This paper gives a numerically stable method to compute H-basis which is based on the computing a minimal basis for the module of syzygies using singular value decomposition. We illustrate the performance of this method by means of various examples.