Solving Linear Equation Systems by Simplified 94LVI Algorithm from Quadratic Program

The paper provides a method with relatively high computational efficiency and accuracy to solve the linear equation systems (LES). That is, the paper presents a simplified 94LVI algorithm solution to a linear equation system, based on the original 94LVI algorithm solution to a quadratic program (QP) problem. The linear equation system can be shown as a result of a simplified quadratic program. The simplified 94LVI algorithm is thus developed to solve the simplified quadratic program problem, i.e., the linear equation system. The simplification method provided is practical to this kind of LES problems, and effectively solves the LES problems. Besides, numerical experiments of different dimension examples are carried out to verify the effectiveness and efficiency of the presented method.