PSDConstraint-class function

The PSDConstraint class.

This class represents the positive semidefinite constraint, $\frac{1}{2}(X + X^T) \succeq 0$, i.e. $z^T(X + X^T)z \geq 0$ for all $z$. methods

e1 %>>% e2

e1 %<<% e2

## S4 method for signature 'Expression,Expression'
e1 %>>% e2

## S4 method for signature 'Expression,ConstVal'
e1 %>>% e2

## S4 method for signature 'ConstVal,Expression'
e1 %>>% e2

## S4 method for signature 'Expression,Expression'
e1 %<<% e2

## S4 method for signature 'Expression,ConstVal'
e1 %<<% e2

## S4 method for signature 'ConstVal,Expression'
e1 %<<% e2

PSDConstraint(expr, id = NA_integer_)

## S4 method for signature 'PSDConstraint'
name(x)

## S4 method for signature 'PSDConstraint'
is_dcp(object)

## S4 method for signature 'PSDConstraint'
is_dgp(object)

## S4 method for signature 'PSDConstraint'
residual(object)

## S4 method for signature 'PSDConstraint'
canonicalize(object)

Arguments

• e1, e2: The Expression objects or numeric constants to compare.
• expr: An Expression , numeric element, vector, or matrix representing $X$.
• id: (Optional) A numeric value representing the constraint ID.
• x, object: A PSDConstraint object.

Methods (by generic)

• name(PSDConstraint): The string representation of the constraint.
• is_dcp(PSDConstraint): The constraint is DCP if the left-hand and right-hand expressions are affine.
• is_dgp(PSDConstraint): Is the constraint DGP?
• residual(PSDConstraint): A Expression representing the residual of the constraint.
• canonicalize(PSDConstraint): The graph implementation of the object. Marks the top level constraint as the dual_holder so the dual value will be saved to the PSDConstraint .

Slots

• expr: An Expression , numeric element, vector, or matrix representing $X$.