A New Algorithm for General Cyclic Heptadiagonal Linear Systems Using Sherman-Morrison-Woodbury formula
A.A. Karawia
TL;DR
This paper introduces an efficient algorithm for solving cyclic heptadiagonal linear systems by combining a specialized solver with the Sherman-Morrison-Woodbury formula, implemented in MAPLE and MATLAB.
Contribution
The paper presents a novel algorithm that efficiently solves cyclic heptadiagonal systems using existing solvers and matrix formulas, with straightforward implementation in CAS.
Findings
Algorithm successfully solves cyclic heptadiagonal systems.
Implementation in MAPLE and MATLAB is straightforward.
Numerical example demonstrates effectiveness.
Abstract
In this paper, a new efficient computational algorithm is presented for solving cyclic heptadiagonal linear systems based on using of heptadiagonal linear solver and Sherman-Morrison-Woodbury formula. The implementation of the algorithm using computer algebra systems (CAS) such as MAPLE and MATLAB is straightforward. Numerical example is presented for the sake of illustration.
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Taxonomy
TopicsFluid Dynamics and Thin Films · Rheology and Fluid Dynamics Studies · Matrix Theory and Algorithms