A Numerical Method for Inverting Bordered k-Tridiagonal Matrices

We develop a new algorithm to compute the inverse of an interesting class of bordered ktridiagonal matrices. This algorithm relieson a novel strategy of partitioning and decomposition. We also give examples illustrating the efficiency of the proposed method.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-10
DOI
https://doi.org/10.5281/zenodo.14857033
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

A Numerical Method for Inverting Bordered k-Tridiagonal Matrices

Zenodo (CERN European Organization for Nuclear Research)
Matrix Theory and Algorithms
article

A Numerical Method for Inverting Bordered k-Tridiagonal Matrices

article en

Abstract

We develop a new algorithm to compute the inverse of an interesting class of bordered ktridiagonal matrices. This algorithm relieson a novel strategy of partitioning and decomposition. We also give examples illustrating the efficiency of the proposed method.

Zenodo (CERN European Organization for Nuclear Research)
Abdelmalek Essaâdi University (MA)
Openalex Percentile: Top 56%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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A Numerical Method for Inverting Bordered k-Tridiagonal Matrices · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS