A New Algorithm for Evaluating Determinants -- The Reduction Method
Ricardo S. Vieira
TL;DR
This paper introduces the reduction method, a novel algorithm for evaluating determinants, starting with third-order cases and extending to higher orders, including alternative formulations and mathematical proofs.
Contribution
The paper presents a new reduction-based algorithm for determinant evaluation, generalizing from third-order to higher-order determinants with formal proofs.
Findings
Effective for third-order determinants
Generalizes to higher-order determinants
Includes alternative formulations and proofs
Abstract
We present here a new method for evaluating determinants -- the reduction method. Firstly, in the section 2, we apply it to third-order determinants and after, in the section 3, we generalize it to higher-order determinants. In the section 4 an alternative formulation of the reduction method is presented and, in the section 5, we give the respective mathematical proofs.
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Taxonomy
TopicsScientific Measurement and Uncertainty Evaluation · Adsorption, diffusion, and thermodynamic properties of materials · Chemistry and Stereochemistry Studies