Computational Methods Of Linear Algebra | V. N. Faddeeva

COMPUTATIONAL METHODS OF LINEAR ALGEBRA

V. N. Faddeeva

English-speaking physicists, mathematicians, and engineers will welcome this first English translation of a unique and valuable Russian work. Translated especially for this edition by Curtis D. Benster, it is a basic work in English that presents a systematic exposition of computational methods of linear algebra— the classical ones, as well as those developed quite recently in Russia and elsewhere, by A. N. Krylov, A. M. Danilevsky, D. K. Faddeev, and others.

This unusual computer’s guide shows in detail how to derive numerical solutions of problems in mathematical physics which are frequently connected with the numerical solution of basic problems of linear algebra. Theory as well as individual practices are given.

The book is divided into three long chapters, with numerous sub-chapters. The first chapter provides the basic material from linear algebra (matrices, linear transformations, the Jordan canonical form, etc.) that is indispensable to what follows. The second chapter describes methods of numerical solution of systems of linear equations. The third chapter provides methods of computing the proper numbers and proper vectors of a matrix.

One of the outstanding and valuable features of this work is the care which has been taken in the preparation of the twenty-three tables which accompany chapters 11 and III. These tables have been specially rcchecked and corrected by the translator, and carefully set (with uniform double-spacing) so as to allow the user to follow the computations throughout with case.