Accession Number : ADA131400

Title :   Research in Numerical Linear Algebra and Numerical Methods for Large-Scale Least Squares and Other Problems.

Descriptive Note : Final rept. 15 Jun 77-14 Jun 83,


Personal Author(s) : Plemmons,Robert J

PDF Url : ADA131400

Report Date : 01 Aug 1983

Pagination or Media Count : 9

Abstract : The research problems studied for the U. S. Army Research Office over the six year period of these grants are each in the research area of Numerical Linear Algebra and Applications. The objectives of the research were to develop new techniques for handling large-scale problems which involve interative or direct methods for solving large sparse systems of linear equations or least squares problems. The topics to be studied included: (1) the convergence of iterative methods for solving systems of linear equations, (2) hyperbolic systems of partial differential equations, (3) large-scale least squares computations, (4) M-matrices and related topics on nonegativity, (5) the computation of stationary distributions for Markov chains and (6) sparse matrix computations in structural optimization. Research on these topics was to be coordinated with associated scientists and engineers from some of the application areas such as queueing network analysis, compartmental analysis of biological systems, geodetic adjustment methods and structural analysis. Some theoretical research was to be done and certain algorithms and software were to be developed and tested on real problems from these areas.

Descriptors :   *Numerical methods and procedures, *Bibliographies, Linear algebra, Least squares method, Army research, Iterations, Matrices(Mathematics), Sparse matrix, Computations, Markov processes, Partial differential equations, Linear algebraic equations, Problem solving

Subject Categories : Information Science
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE