Signomial dual Kuhn-tucker intervals |
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| Authors: | L J Mancini D J Wilde |
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| Institution: | (1) Operations Research Group, Logistics and Planning Applications Development Section, Computer Services Department, Standard Oil Company, San Francisco, California;(2) Design Division, Department of Mechanical Engineering, Stanford University, Stanford, California |
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| Abstract: | Signomial programs are a special type of nonlinear programming problems which are especially useful in engineering design. This paper applies interval arithmetic, a generalization of ordinary arithmetic, to a dual equilibrium problem in signomial programming. Two constructive applications are considered. Application I involves uniqueness of local solutions; Application II involves existence and error bounds.The authors are grateful to the National Science Foundation for support through a Graduate Fellowship and Grant No. GK-41301. |
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| Keywords: | Geometric programming signomial programming interval arithmetic nonlinear equations Newton's method |
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