picos.expressions.exp_geomean¶

Classes

class picos.expressions.exp_geomean.GeometricMean(x)[source]¶

Geometric mean of an affine expression.

For an $n$ -dimensional affine expression $x$ with $x \geq 0$ , the geometric mean is given as

$\left(\prod_{i = 1}^n x_i \right)^{\frac{1}{n}}.$

Warning

When you pose a lower bound on a geometric mean, then PICOS enforces $x \geq 0$ through an auxiliary constraint during solution search.

__ge__(other)[source]¶: Return a constraint that the expression is lower-bounded.

__init__(x)[source]¶

Parameters: x (AffineExpression) – The affine expression to form the geometric mean of.

__mul__(other)[source]¶: Denote multiplication with another expression on the right.

__rmul__(other)[source]¶: Denote multiplication with another expression on the left.

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