An Introduction to some Methods for Solving A Large System Linear Neutrosophic Equations

Abstract

This paper aims to extend the methods of steepest descent and conjugate directions to the neutrosophic field R(I). the generalizations were built similarly to the classic algorithms, starting by generalizing the quadratic forms to R(I). Geometric isometry (AH-Isometry) S was used as the tool, and many examples are presented in the main paragraphs. The simple extension method can be generalized to other linear and non-linear methods.

Keywords

• quadratic forms
• neutrosophic field
• steepest descent
• conjugate directions
• neutrosophic matrix