SIMULTANEOUS LINEAR EQUATIONS AND THE DETERMINATION OF EIGENVALUES.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 31, 1953
- Accession Number
- AD0695953
Entities
People
- L. J. Paige
- Olga Taussky
Organizations
- National Institute of Standards and Technology