Skip to main content
SpringerLink
Log in

Bounding Derivative Ranges

  • Reference work entry
Encyclopedia of Optimization

  • 137 Accesses

Article Outline

Keywords

Evaluation of Functions

Monotonicity

Taylor Form

Intersection and Subinterval Adaptation

Software Availability

See also

References

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 2,500.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 2,499.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Corliss GF, Rall LB (1991) Computing the range of derivatives. In: Kaucher E, Markov SM, Mayer G (eds) Computer Arithmetic, Scientific Computation and Mathematical Modelling. IMACS Ann Computing Appl Math. Baltzer, Basel, pp 195–212

    Google Scholar 

  2. Gray JH, Rall LB (1975) INTE: A UNIVAC 1108/1110 program for numerical integration with rigorous error estimation. MRC Techn Summary Report Math Res Center, Univ Wisconsin–Madison 1428

    Google Scholar 

  3. Moore RE (1966) Interval analysis. Prentice-Hall, Englewood Cliffs, NJ

    MATH  Google Scholar 

  4. Moore RE (1979) Methods and applications of interval analysis. SIAM, Philadelphia

    MATH  Google Scholar 

  5. Rall LB (1981) Automatic differentiation: techniques and applications. Lecture Notes Computer Sci, vol 120. Springer, Berlin

    MATH  Google Scholar 

  6. Rall LB (1983) Mean value and Taylor forms in interval analysis. SIAM J Math Anal 2:223–238

    Article  MathSciNet  Google Scholar 

  7. Rall LB (1986) Improved interval bounds for ranges of functions. In: Nickel KLE (ed) Interval Mathematics (Freiburg, 1985). Lecture Notes Computer Sci, vol 212. Springer, Berlin, pp 143–154

    Google Scholar 

  8. Ratschek H, Rokne J (eds) (1984) Computer methods for the range of functions. Horwood, Westergate

    MATH  Google Scholar 

  9. Website: www.mscs.mu.edu/~georgec/Pubs/eoo_da.tar.gz

Download references

Author information

Authors and Affiliations

  1. Marquette University, Milwaukee, USA

    George F. Corliss

  2. University Wisconsin–Madison, Madison, USA

    L. B. Rall

Authors
  1. George F. Corliss
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. B. Rall
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Corliss, G.F., Rall, L.B. (2008). Bounding Derivative Ranges . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_56

Download citation

Publish with us

Policies and ethics

Search

Navigation