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Real Symmetric Matrices

  • Jane K. Cullum
  • Ralph A. Willoughby
Part of the Progress in Scientific Computing book series (PSC, volume 4)

Abstract

The FORTRAN codes in this chapter address the question of computing distinct eigenvalues and corresponding eigenvectors of real symmetric matrices, using a single-vector Lanczos procedure. For a given real symmetric matrix A, these codes compute real scalars λ and corresponding real vectors x ≠ 0, such that
$$ Ax = \lambda x$$
(2.1.1)
DEFINITION 2.1.1 A real nxn matrix A = (aij), 1 ≤ i,j ≤ n, is a real symmetric matrix if and only if for every i and j, aij = aji.

Keywords

CHOLESKY Factor Distinct Eigenvalue Real Symmetric Matrix Inverse Iteration Real Symmetric Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston, Inc. 1985

Authors and Affiliations

  • Jane K. Cullum
    • 1
  • Ralph A. Willoughby
    • 1
  1. 1.IBM T. J. Watson Research CenterYorktown HeightsUSA

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