The Algebraic Multigrid Projection for Eigenvalue Problems; Backrotations and Multigrid Fixed Points.

Abstract

The proofs of the theorem for the algebraic multigrid projection (MGP) for eigenvalue problems, and of the multigrid fixed point theorem for multigrid cycles combining MGP with backrotations, are presented. The MGP and the backrotations are central eigenvector separation techniques for multigrid eigenvalue algorithms. They allow computation on coarse levels of eigenvalues of a given eigenvalue problem, and are efficient tools in the computation of eigenvectors.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1994
Accession Number
ADA288765

Entities

People

  • Shlomo Ta'asan
  • Sorin Costiner

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algebra
  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Computations
  • Computer Science
  • Computers
  • Contracts
  • Eigenvalues
  • Eigenvectors
  • Engineering
  • Identities
  • Mathematics
  • Permutations
  • Point Theorem
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Aerospace Engineering
  • Computer Vision.
  • Linear Algebra