The Group Inverse of extended Symmetric and Periodic Jacobi Matrices

TL;DR

This paper explicitly computes the group inverse of symmetric and periodic Jacobi matrices, providing a detailed mathematical analysis of these specific matrix classes.

Contribution

It introduces explicit formulas for the group inverse of extended symmetric and periodic Jacobi matrices, advancing theoretical understanding.

Findings

Explicit formulas for the group inverse are derived.

The results apply to a broad class of symmetric and periodic Jacobi matrices.

The work enhances mathematical tools for analyzing these matrices.

Abstract

In this work, we explicitly compute the group inverse of symmetric and periodic Jacobi matrices.