Solution of systems of Equations by Cholesky's square root method.

Abstract

The user of a computer may expect to be provided with general purpose routines for carrying out standard matrix processes. If the problem to be solved is a single one then he will naturally use these routines, If possible, in order to minimize the programing effort required.
However, the matrices which appear in structural analysis are often of very simple form, and have certain special properties. The properties to be utilized are those of real, symmetric, positive definite bandmatrices , so if the program is to he used a large number of times it may by desirable to write special routines which are tailored to fit the particuler type of matrix involved.
Cholesky's method which is one of these routines, is discussed in the article.