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Research Article Open access CC BY 3.0

Algorithms for Solving Doubly Bordered Tridiagonal Linear Systems

Moawwad El-Mikkawy, Faiz Atlan

Journal of Advances in Mathematics and Computer Science · pp. 1246–1267 · Published 27 Feb 2014

10.9734/BJMCS/2014/8835

Abstract

In this paper we focus on solving doubly bordered tridiagonal linear systems of equations via transformation. It investigates numeric and symbolic algorithms for solving such systems. The computational cost of the algorithms are given. A MAPLE procedure based on these algorithms is listed. Some illustrative examples are introduced.

Doubly bordered Tridiagonal matrices Partitioned matrices Algorithm LU factorization MAPLE

Cited by 17

New Algorithms for Solving Bordered <i>k</i>-Tridiagonal Linear Systems

Moawwad El-Mikkawy, Faiz Atlan · Journal of Applied Mathematics and Physics · 2015

On the inverse and determinant of general bordered tridiagonal matrices

Jiteng Jia, Sumei Li · Computers & Mathematics with Applications · 2015

A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems

Jiteng Jia, Tomohiro Sogabe, Sumei Li · Journal of Computational and Applied Mathematics · 2015

RETRACTED: New algorithms for numerically solving a class of bordered tridiagonal systems of linear equations

Jiteng Jia, Sumei Li · Computers & Mathematics with Applications · 2019

Solving Doubly Bordered Tridiagonal Linear Systems via Partition

Moawwad El-Mikkawy, Mohammed El-Shehawy, Nermeen Shehab · Applied Mathematics · 2015

A New Symbolic Algorithm for Solving General Opposite-Bordered Tridiagonal Linear Systems

Faiz Atlan, Moawwad El-Mikkawy · American Journal of Computational Mathematics · 2015

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