picos.expressions.exp_geomean¶

Outline¶

Geometric mean of an affine expression.

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.

__init__(x)[source]¶

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