Skip to main content
SpringerLink
Log in

Reflections on the Gauss Principle of Least Constraint

  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

The Gauss principle of least constraint is derived from a new point of view. Then, an extended principle of least constraint is derived to cover the case of nonideal constraints. Finally, a version of the principle for general underdetermined systems is adumbrated. Throughout, the notion of generalized inverses of matices plays a prominent role.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C.F. Gauss (1829) ArticleTitleUeber ein neues algemeines Grundgesetz der Mechanik Zeitschrift fuer die reine und angewandte Mathematik 4 232–235 Occurrence Handle004.0157

    MATH  Google Scholar 

  2. F.E Udwadia R.E. Kalaba (1996) Analytical Dynamics Cambridge University Press New York NY

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Civil and Environmental Engineering Department, School of Engineering, University of California, Davis, California

    Y. Y. Fan (Assistant Professor)

  2. Biomedical Engineering and Economics Departments, University of Southern California, Los Angeles, California

    R. E. Kalaba (Professor)

  3. System Engineering Department, California State University, Fullerton, California

    H. H. Natsuyama (Professor Emeritus)

  4. Aerospace and Mechanical Engineering, Civil Engineering, Mathematics, and Information and Operations Management Departments, University of Southern California, Los Angeles, California

    F. E. Udwadia (Professor)

Authors
  1. Y. Y. Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. E. Kalaba
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. H. Natsuyama
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. F. E. Udwadia
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fan, Y.Y., Kalaba, R.E., Natsuyama, H.H. et al. Reflections on the Gauss Principle of Least Constraint. J Optim Theory Appl 127, 475–484 (2005). https://doi.org/10.1007/s10957-005-7496-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10957-005-7496-7

Keywords

Search

Navigation