Stickelberger and the Eigenvalue Theorem

TL;DR

This paper investigates the connection between the Eigenvalue Theorem for solving polynomial systems and Ludwig Stickelberger's historical mathematical work.

Contribution

It establishes a novel link between the Eigenvalue Theorem and Stickelberger's contributions to algebra and number theory.

Findings

Identifies theoretical parallels between the Eigenvalue Theorem and Stickelberger's work.

Provides insights into the algebraic structures underlying polynomial system solutions.

Enhances understanding of eigenvalue methods through historical mathematical context.

Abstract

The Eigenvalue Theorem shows that solving a zero-dimensional polynomial system can be recast as an eigenvalue problem. This paper explores the relation between the Eigenvalue Theorem and the work of Ludwig Stickelberger (1850-1936).