Solving Linear Equations by Means of Scalar Products

  • Chapter
Complexity of Computer Computations

Part of the book series: The IBM Research Symposia Series ((IRSS))

Abstract

We shall state and solve a problem proposed by R. Brent and P. Wolfe concerning the solution of a system of linear equations by algorithms where the only operation permitted on the coefficient vectors a1, a2, ..., is the formation of scalar products ai ·v. Each such calculation is called a test. The objective is to solve the equations using a minimum number of tests.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Thailand)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 42.79
Price includes VAT (Thailand)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 49.99
Price excludes VAT (Thailand)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1972 Plenum Press, New York

About this chapter

Cite this chapter

Rabin, M.O. (1972). Solving Linear Equations by Means of Scalar Products. In: Miller, R.E., Thatcher, J.W., Bohlinger, J.D. (eds) Complexity of Computer Computations. The IBM Research Symposia Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2001-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-2001-2_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2003-6

  • Online ISBN: 978-1-4684-2001-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Navigation