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Lecture Notes in Economics and Mathematical Systems

Selected Topics in Operations Research and Mathematical Economics

Proceedings of the 8th Symposium on Operations Research, Held at the University of Karlsruhe, West Germany August 22–25, 1983

Editors: Hammer, G., Pallaschke, Diethard (Eds.)

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Let eRN be the usual vector-space of real N-uples with the usual inner product denoted by (. ,. ). In this paper P is a nonempty compact polyhedral set of mN, f is a real-valued function defined on (RN continuously differentiable and fP is the line- ly constrained minimization problem stated as : min (f(x) I x € P) • For computing stationary points of problemtj) we propose a method which attempts to operate within the linear-simplex method structure. This method then appears as a same type of method as the convex-simplex method of Zangwill [6]. It is however, different and has the advantage of being less technical with regards to the Zangwill method. It has also a simple geometrical interpretation which makes it more under­ standable and more open to other improvements. Also in the case where f is convex an implementable line-search is proposed which is not the case in the Zangwill method. Moreover, if f(x) = (c,x) this method will coincide with the simplex method (this is also true in the case of the convex simplex method) i if f(x) = I Ixl 12 it will be almost the same as the algorithm given by Bazaraa, Goode, Rardin [2].

Table of contents (37 chapters)

Table of contents (37 chapters)

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-3-642-45567-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $159.00
price for USA in USD
  • ISBN 978-3-540-12918-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Selected Topics in Operations Research and Mathematical Economics
Book Subtitle
Proceedings of the 8th Symposium on Operations Research, Held at the University of Karlsruhe, West Germany August 22–25, 1983
Editors
  • G. Hammer
  • Diethard Pallaschke
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
226
Copyright
1984
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-45567-4
DOI
10.1007/978-3-642-45567-4
Softcover ISBN
978-3-540-12918-9
Series ISSN
0075-8442
Edition Number
1
Number of Pages
X, 482
Topics