IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-3-319-58356-3_21.html
   My bibliography  Save this book chapter

Numerical Studies: Comparisons

In: Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology

Author

Listed:
  • Neculai Andrei

    (Center for Advanced Modeling & Optimization
    Academy of Romanian Scientists)

Abstract

As already seen, for solving nonlinear optimization applications we have a multitude of algorithms and codes integrated in GAMS which involve the theoretical concepts of the augmented Lagrangian, of sequential linear-quadratic or quadratic programming, of generalized reduced gradient, of interior point methods with line-search or interior point methods with trust region or filter, etc. All these algorithms work in conjunction with advanced linear algebra concepts, especially for solving positive definite or indefinite large-scale linear algebraic systems. Always, the performances of optimization algorithms crucially depend on the capabilities of linear algebra algorithms, on linear search, on filter, etc. On the other hand, for solving nonlinear optimization applications from different domains of activity, the present technology involves the usage of algebraic-oriented languages. At present, plenty modeling and optimization technologies are known (Andrei 2013b). The most used, both in academic tests and in real practical applications, are GAMS (Brooke et al. 1998), (Rosenthal 2011), AMPL (Fourer et al. 2002), MPL (Kristjansson 1993), LINDO (Schrage 1997), TOMLAB (Holmström 1997), etc.

Suggested Citation

  • Neculai Andrei, 2017. "Numerical Studies: Comparisons," Springer Optimization and Its Applications, in: Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology, chapter 0, pages 437-447, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-58356-3_21
    DOI: 10.1007/978-3-319-58356-3_21
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:spochp:978-3-319-58356-3_21. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.