How to Solve (K - lambda M)z = O for Large K and M,

Abstract

The most common solution technique is subspace iteration, a combination of inverse iteration and the Rayleigh-Ritz procedure. Some difficulties of this method are mentioned as well as ways to avoid them by means of spectral transformations. This permits use of the Lanczos algorithm and yields significant reductions in cost. This paper evolved from an invited talk at the 2nd International Congress on Numerical Methods in Engineering (GAMNI 2) at the Ecole Centrale de Paris in December 1980. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 26, 1981
Accession Number
ADA102567

Entities

People

  • Beresford N. Parlett

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computations
  • Convergence
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Errors
  • Iterations
  • Linear Systems
  • Mathematics
  • Perturbation Theory
  • Sparse Matrix
  • Standards
  • Three Dimensional
  • Two Dimensional

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
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  • Military History