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

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1973
Accession Number
AD0910279

Entities

People

  • Donald A. Gignac

Tags

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • Computer Programs
  • Digital Information
  • Linear Algebra
  • Mathematics
  • Procedures (Computers)
  • Sparse Matrix
  • Universities

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  • Computer Science.
  • Linear Algebra