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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 187)
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................................................................. The performance of a nonlinear programming algorithm can only be ascertained by numerical experiments requiring the collection and implementation of test examples in dependence upon the desired performance criterium. This book should be considered as an assis tance for a test designer since it presents an extensive collec tion of nonlinear programming problems which have been used in the past to test or compare optimization programs. He will be in formed about the optimal solution, about the structure of the problem in the neighbourhood of the solution, and, in addition, about the usage of the corresp,onding FORTRAN subroutines if he is interested in obtaining them -ofi a magnetic tape. Chapter I shows how the test examples are documented. In par ticular, the evaluation of computable information about the solu tion of a problem is outlined. It is explained how the optimal solution, the optimal Lagrange-multipliers, and the condition number of the projected Hessian of the Lagrangian are obtained. Furthermore, a classification number is defined allowing a formal description of a test problem, and the documentation scheme is described which is used in Chapter IV to present the problems.
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Table of contents (4 chapters)
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Bibliographic Information
Book Title: Test Examples for Nonlinear Programming Codes
Authors: Willi Hock, Klaus Schittkowski
Series Title: Lecture Notes in Economics and Mathematical Systems
DOI: https://doi.org/10.1007/978-3-642-48320-2
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1981
Softcover ISBN: 978-3-540-10561-9Published: 01 March 1981
eBook ISBN: 978-3-642-48320-2Published: 06 December 2012
Series ISSN: 0075-8442
Series E-ISSN: 2196-9957
Edition Number: 1
Number of Pages: VI, 182
Topics: Operations Research/Decision Theory, Economic Theory/Quantitative Economics/Mathematical Methods