picos.expressions.exp_detrootn¶

Implements DetRootN.

Outline¶

Classes¶

 DetRootN The -th root of the determinant of an matrix.

Classes¶

DetRootN¶

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.

__init__(x)[source]

Construct a DetRootN.

Parameters

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

property n

Diagonal length of x.

property x

The matrix concerned.