PSDConstraint-class: The PSDConstraint class.

In CVXR: Disciplined Convex Optimization

The PSDConstraint class.

Description

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.

Usage

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.

CVXR documentation built on June 27, 2024, 5:11 p.m.