Kõrvaldamismeetodi

Kõrvaldamismeetod, also known as the elimination method or method of differences, is a mathematical technique used primarily for solving systems of linear equations. It is also a fundamental concept in numerical analysis for approximating roots of equations.

In the context of linear systems, the elimination method aims to systematically eliminate one or more variables from the equations. This is achieved by adding or subtracting multiples of one equation from another. The goal is to transform the original system into an equivalent system where one equation contains only a single variable. Once this variable is solved, it can be substituted back into the other equations to find the values of the remaining variables. This process is repeated until all variables are determined.

For root-finding problems, the method of differences can be used to approximate the root of a function. It involves calculating the differences between successive function values. By observing the pattern of these differences, one can make an educated guess about the location of the root and refine it through iterative calculations. This approach is particularly useful when analytical solutions are not feasible. The term "kõrvaldamismeetod" emphasizes the process of eliminating uncertainty or unwanted elements to arrive at a solution.