picos.constraints.con_matnorm

Implementation of matrix norm constraints.

Outline

Classes

MatrixNormConstraint	Upper bound on a matrix -norm.
NuclearNormConstraint	Nuclear norm of a matrix.
SpectralNormConstraint	Spectral norm of a matrix.

Classes

MatrixNormConstraint

class picos.constraints.con_matnorm.MatrixNormConstraint(norm, upperBound)

Bases: picos.constraints.constraint.Constraint

Upper bound on a matrix -norm.

class VectorNormConversion

Bases: picos.constraints.constraint.ConstraintConversion

Upper bound on a -norm constraint conversion.

classmethod convert(con, options)

Implement convert.

classmethod predict(subtype, options)

Implement predict.

__init__(norm, upperBound)

Construct a MatrixNormConstraint.

Parameters

• norm (Norm) – The norm.

• upperBound (AffineExpression) – The scalar upper bound.

NuclearNormConstraint

class picos.constraints.con_matnorm.NuclearNormConstraint(norm, upperBound)

Bases: picos.constraints.constraint.Constraint

Nuclear norm of a matrix.

class Conversion

Bases: picos.constraints.constraint.ConstraintConversion

Nuclear norm constraint conversion.

classmethod convert(con, options)

Implement convert.

classmethod predict(subtype, options)

Implement predict.

__init__(norm, upperBound)

Construct a NuclearNormConstraint.

Parameters

• norm (NuclearNorm) – Constrained nuclear norm

• upperBound (AffineExpression) – Upper bound on the expression.

SpectralNormConstraint

class picos.constraints.con_matnorm.SpectralNormConstraint(norm, upperBound)

Bases: picos.constraints.constraint.Constraint

Spectral norm of a matrix.

class Conversion

Bases: picos.constraints.constraint.ConstraintConversion

Spectral norm constraint conversion.

classmethod convert(con, options)

Implement convert.

classmethod predict(subtype, options)

Implement predict.

__init__(norm, upperBound)

Construct a SpectralNormConstraint.

Parameters

• norm (SpectralNorm) – Constrained spectral norm

• upperBound (AffineExpression) – Upper bound on the expression.