This is a collection of utilities to solve systems of linear equations. They are written in Python and use numpy and matplotlib. Numerous examples are provided. More details about the algorithm can be ...

Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

Computer scientists have devised an innovative and elegantly concise algorithm that can efficiently solve systems of linear equations that are critical to such important computer applications as image ...

SIAM Journal on Numerical Analysis, Vol. 20, No. 2 (Apr., 1983), pp. 345-357 (13 pages) We consider a class of iterative algorithms for solving systems of linear equations where the coefficient matrix ...

1. Solve the following system of equations by elimination. 2. Solve the following system of equations by elimination. 3. Solve the following system of equations by elimination. 4. A manufacturer ...

Abstract: It has been found that there exists an essential similarity between solving equations and controlling dynamic systems: Both errors are expected to decrease to zero (or an acceptably tiny ...

Transforms a matrix into row echelon form (or reduced row echelon form) by applying a sequence of row operations, making it easier to solve for unknowns using backward substitution. Steps: Forward ...

Often it is necessary to look at several functions of the same independent variable. Consider the prior example where x, the number of items produced and sold, was the independent variable in three ...