Geometric programming with signomials
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Publication:2553387
DOI10.1007/BF00934288zbMath0238.90069OpenAlexW2051572921MaRDI QIDQ2553387
Richard J. Duffin, Elmor L. Peterson
Publication date: 1973
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00934288
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Cites Work
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- Duality and stability in extremum problems involving convex functions
- Constrained maximization of posynomials by geometric programming
- A MATHEMATICAL AID IN OPTIMIZING ENGINEERING DESIGNS
- A FURTHER MATHEMATICAL AID IN OPTIMIZING ENGINEERING DESIGNS
- A CONVEX APPROXIMANT METHOD FOR NONCONVEX EXTENSIONS OF GEOMETRIC PROGRAMMING
- Use of Geometric Programming to Maximize Reliability Achieved by Redundancy
- Generalized Polynomial Optimization
- Convex Analysis
- Symmetric Duality for Generalized Unconstrained Geometric Programming
- Linearizing Geometric Programs
- Condensing generalized polynomials
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