A note on banded linear systems
D. Barrios Rolan\'ia, J.C. Garc\'ia-Ardila
TL;DR
This paper extends a recent factorization method for infinite Hessenberg banded matrices to finite matrices and introduces a new approach for solving banded linear systems efficiently.
Contribution
It demonstrates the applicability of a new factorization technique to finite matrices and proposes a novel method for solving banded linear systems.
Findings
The factorization method is applicable to finite matrices.
A new efficient method for solving banded linear systems is introduced.
The approach enhances computational techniques for banded matrices.
Abstract
In [2] a new factorization for infinite Hessenberg banded matrices was introduced. In this note we prove that this kind of factorization can also be used for finite matrices. In addition, a new method for solving banded linear systems is provided.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · graph theory and CDMA systems