This repository contains Python scripts to solve a system of linear equations AX = b using different methods, including the naive approach, NumPy, and SciPy. The goal is to compare the execution times ...

A method for solving systems of linear equations is presented based on direct decomposition of the coefficient matrix using the form LAX = LB = B’ . Elements of the reducing lower triangular matrix L ...

Write a MATLAB function to solve the system of equations that finds the coefficients a1, a2, a3 of a parabola defined by y = a1x2 + a2x + a3 given three points through which the parabola passes. Find ...

A comprehensive theory of the matrix linear equation AX + XB = C is presented. The equation is viewed as a vector equation LX = C in the vector space of all m × n matrices. As the main result, two ...

Anping Liao, Yuan Lei, OPTIMAL APPROXIMATE SOLUTION OF THE MATRIX EQUATION AX B = C OVER SYMMETRIC MATRICES, Journal of Computational Mathematics, Vol. 25, No. 5 (September 2007), pp. 543-552 ...