Skip to main content

Inequality-constrained Nonlinear Optimization

  • Reference work entry
Encyclopedia of Optimization
  • 264 Accesses

Article Outline

Keywords

Synonyms

The Problem

First Order Optimality Conditions

Second Order Optimality Conditions

Algorithms

See also

References

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

Access this chapter

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. Bazaraa MS, Sherali HD, Shetty CM (1993) Nonlinear programming: Theory and algorithms. second Wiley, New York

    MATH  Google Scholar 

  2. Bertsekas DP (1999) Nonlinear programming, 2nd edn. Athena Sci., Belmont, MA

    MATH  Google Scholar 

  3. Fletcher R (1988) Practical methods of optimization. Wiley, New York

    Google Scholar 

  4. Gill PE, Murray W, Wright MH (1981) Practical optimization. Acad. Press, New York

    MATH  Google Scholar 

  5. Karush W (1939) Minima of functions of several variables with inequalities as side constraints. Dept Math Univ Chicago

    Google Scholar 

  6. Kuhn HW (1991) Nonlinear programming: A historical note. In: Lenstra JK, Rinnooy Kan AHG, Schrijver A (eds) Elsevier, AmsterdamHistory of Mathematical Programming: A Collection of Personal Reminiscences. , pp 82–96

    Google Scholar 

  7. Kuhn HW, Tucker AW (1951) Nonlinear programming. In: Neyman J (ed) Proc. 2nd Berkeley Symposium on Mathematical Statistics and Probability. Univ Calif Press, Berkeley, CA, pp 481–492

    Google Scholar 

  8. Murtagh BA, Saunders MA (1982) A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints. Math Program Stud 16:84–117

    MathSciNet  MATH  Google Scholar 

  9. Murtagh BA, Saunders MA (1993) MINOS 5.4 user's guide. SOL Report Dept Oper Res Stanford Univ 83-20R,

    Google Scholar 

  10. Nash SG, Sofer A (1996) Linear and nonlinear programming. McGraw-Hill, New York

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Murray, W. (2008). Inequality-constrained Nonlinear Optimization . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_278

Download citation

Publish with us

Policies and ethics