Posynomial
From Wikipedia, the free encyclopedia
A posynomial is a function of the form
where all the coordinates xi and coefficients ck are positive real numbers, and the exponents aik are real numbers. Posynomials are closed under addition, multiplication, and nonnegative scaling.
For example,
is a posynomial.
Posynomials are not the same as polynomials in several variables. A polynomial's coefficients need not be positive, and, on the other hand, the exponents of a posynomial can be real numbers, while for polynomials they must be non-negative integers.
[edit] References
- Stephen P Boyd; Lieven Vandenberghe (2004). Convex optimization (pdf version). Cambridge University Press. ISBN 0521833787.
- Harvir Singh Kasana; Krishna Dev Kumar (2004). Introductory operations research: theory and applications. Springer. ISBN 3540401385.
[edit] External links
- S. Boyd, S. J. Kim, L. Vandenberghe, and A. Hassibi, A Tutorial on Geometric Programming
