picos.expressions.exp_detrootn¶

Implements DetRootN.

Classes

class picos.expressions.exp_detrootn.DetRootN(x)[source]

The -th root of the determinant of an matrix.

Definition

For an positive semidefinite hermitian matrix , this is

Warning

When you pose a lower bound on the -th root of a determinant of the matrix , then PICOS enforces positive semidefiniteness through an auxiliary constraint during solution search.

__ge__(other)[source]

Return a constraint that the expression is lower-bounded.

__init__(x)[source]

Construct a DetRootN.

Parameters

x (ComplexAffineExpression) – The matrix concerned. Must be hermitian by definition.

__mul__(other)[source]

Denote multiplication with another expression on the right.

__rmul__(other)[source]

Denote multiplication with another expression on the left.

property n

Diagonal length of x.

property x

The matrix concerned.