posynomial

Noun

Meaning

posynomial (plural posynomials)

(mathematics) A function of the form



f
(

x

1


,

x

2


,
…
,

x

n


)
=

∑

k
=
1


K



c

k



x

1



a

1
k




⋯

x

n



a

n
k






{\displaystyle f(x_{1},x_{2},\dots,x_{n})=\sum _{k=1}^{K}c_{k}x_{1}^{a_{1k}}\cdots x_{n}^{a_{nk}}}

, where all the coordinates




x

i




{\displaystyle x_{i}}

and coefficients




c

k




{\displaystyle c_{k}}

are positive real numbers, and the exponents




a

i
k




{\displaystyle a_{ik}}

are real numbers.

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