Solution of a System of Linear Equations in an Integral Ring
Gennadi Malaschonok
TL;DR
This paper introduces a modified Gauss's algorithm tailored for solving linear systems within an integral ring, along with an algorithm for computing the adjoint matrix elements, enhancing computational methods in algebraic structures.
Contribution
It presents a novel adaptation of Gauss's algorithm for integral rings and an efficient method for calculating the adjoint matrix elements.
Findings
Effective solution method for linear systems in integral rings
Algorithm for adjoint matrix element calculation
Potential applications in algebraic computations
Abstract
A modified Gauss's algorithm for solving a system of linear equations in an integral ring is proposed, as well as an appropriate algorithm for calculating the elements of the adjoint matrix.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry