picos.constraints.con_lmi

Linear matrix inequalities.

Outline

Classes

ComplexLMIConstraint	Complex linear matrix inequality.
LMIConstraint	Linear matrix inequality.

Classes

ComplexLMIConstraint

class picos.constraints.con_lmi.ComplexLMIConstraint(lhs, relation, rhs, customString=None)

Bases: picos.constraints.con_lmi.LMIConstraint

Complex linear matrix inequality.

class RealConversion

Bases: picos.constraints.constraint.ConstraintConversion

Complex LMI to real LMI conversion.

classmethod convert(con, options)

Implement convert.

classmethod dual(auxVarPrimals, auxConDuals, options)

Implement dual.

classmethod predict(subtype, options)

Implement predict.

LMIConstraint

class picos.constraints.con_lmi.LMIConstraint(lhs, relation, rhs, customString=None)

Bases: picos.constraints.constraint.ConicConstraint

Linear matrix inequality.

An inequality with respect to the positive semidefinite cone, also known as a Linear Matrix Inequality (LMI) or an SDP constraint.

__init__(lhs, relation, rhs, customString=None)

Construct a LMIConstraint.

Parameters

• lhs (AffineExpression) – Left hand side expression.

• relation (str) – Constraint relation symbol.

• rhs (AffineExpression) – Right hand side expression.

• customString (str) – Optional string description.

property conic_membership_form

Implement for ConicConstraint.

property greater

The greater-or-equal side expression.

property nnd

The matrix expression posed to be positive semidefinite.

property npd

The matrix expression posed to be negative semidefinite.

property nsd

The matrix expression posed to be negative semidefinite.

property psd

The matrix expression posed to be positive semidefinite.

property smaller

The smaller-or-equal side expression.