Block Reflectors: Theory and Computation

Abstract

A block reflector is an orthogonal, symmetric matrix that reverses a subspace whose dimensions may be greater than one. We shall develop the properties of block reflectors and give some algorithms for computing a block reflector that introduces a block of zeros into a matrix. We consider the compact representation of block reflectors, some applications, and their use in parallel computers

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1987
Accession Number
ADA206861

Entities

People

  • Beresford Parlett
  • Robert Schreiber

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • California
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Science
  • Eigenvalues
  • Equations
  • Floating Point Operations
  • Iterations
  • Linear Algebra
  • Mathematics
  • Numerical Analysis
  • Sequences
  • Square Roots
  • Theorems

Readers

  • Linear Algebra
  • Optical Physics and Photonics.