Publisher's Synopsis
The problem of errors in computations has attracted the attention of mathematicians for some time. With the wide application of computers its meaning has taken on a new dimension. To the classical problem of errors in numerical analysis is added the new problem of errors in computer arithmetics.;There is now an error classification, according to which, each problem in numerical analysis is connected with three types of error. This classification has stimulated the development of numerical analysis.;The author questions the completeness of this classification and suggests improvements. He applies these to linear and non-linear problems in numerical analysis, and also to systems of linear equations. His results form the main contents of the monograph.