Accession Number : AD0695953

Title :   SIMULTANEOUS LINEAR EQUATIONS AND THE DETERMINATION OF EIGENVALUES.

Descriptive Note : Applied mathematics series,

Corporate Author : NATIONAL BUREAU OF STANDARDS WASHINGTON D C

Personal Author(s) : Paige,L. J. ; Taussky,Olga

Report Date : 31 AUG 1953

Pagination or Media Count : 128

Abstract : Contents: Tentative classification of methods and bibliography on solving systems of linear equations; Simultaneous systems of equations; The geometry of some iterative methods of solving linear systems; Solutions of linear systems of equations on a relay machine; Some special methods of relaxation technique; Errors of matrix computations; Rapidly converging iterative methods for solving linear equations; Some problems in aerodynamics and structural engineering related to eigenvalues; Inclusion theorems for eigenvalues; On general computation methods for eigenvalues and eigenfunctions; Variational methods for the approximation and exact computation of eigenvalues; Determination of eigenvalues and eigenvectors of matrices; New results in the perturbation theory of eigenvalue problems; Bounds for characteristic roots of matrices; Matrix inversion and solution of simultaneous linear algebraic equations with the IBM 604 electronic calculating punch; and Experiments on the inversion of a 16 x 16 matrix.

Descriptors :   (*SIMULTANEOUS EQUATIONS, *NUMERICAL ANALYSIS), (*MATRICES(MATHEMATICS), NUMERICAL ANALYSIS), COMPUTER PROGRAMMING, DIFFERENTIAL EQUATIONS, ITERATIONS, HILBERT SPACE, PERTURBATION THEORY, LEAST SQUARES METHOD

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE