Accession Number : AD0910279

Title :   REDUCB1, A Lanczos Algorithm Subroutine for (A - lambda B)X = 0.

Descriptive Note : Final rept.,

Corporate Author : DAVID W TAYLOR NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD

Personal Author(s) : Gignac, Donald A.

Report Date : FEB 1973

Pagination or Media Count : 23

Abstract : REDUCB1 reduces the real eigensystem problem of the form (A - lambda B)X = 0 where the matrix A is sparse symmetric and the matrix B is sparse positive definite, to the real eigensystem problem of the form (T - lambda I)Y = 0 where the matrix T is symmetric and tridiagonal. REDUCB1 makes use of the Lanczos algorithm for the tridiagonalization process. The subroutine is a FORTRAN EXTENDED (CDC 6700) adaptation for sparse matrices of the ALGOL procedure REDUCB described in a Stanford University report. (Author)

Descriptors :   *COMPUTER PROGRAMS), (*MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), ALGORITHMS, NUMERICAL ANALYSIS, VECTOR SPACES, STRUCTURES, STRESSES.

Subject Categories : Computer Programming and Software
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE