AffAtom-class {CVXR}

The AffAtom class.

Description

This virtual class represents an affine atomic expression.

Usage

## S4 method for signature 'AffAtom'
allow_complex(object)

## S4 method for signature 'AffAtom'
sign_from_args(object)

## S4 method for signature 'AffAtom'
is_imag(object)

## S4 method for signature 'AffAtom'
is_complex(object)

## S4 method for signature 'AffAtom'
is_atom_convex(object)

## S4 method for signature 'AffAtom'
is_atom_concave(object)

## S4 method for signature 'AffAtom'
is_incr(object, idx)

## S4 method for signature 'AffAtom'
is_decr(object, idx)

## S4 method for signature 'AffAtom'
is_quadratic(object)

## S4 method for signature 'AffAtom'
is_qpwa(object)

## S4 method for signature 'AffAtom'
is_pwl(object)

## S4 method for signature 'AffAtom'
is_psd(object)

## S4 method for signature 'AffAtom'
is_nsd(object)

## S4 method for signature 'AffAtom'
.grad(object, values)

Arguments

object

An AffAtom object.

idx

An index into the atom.

values

A list of numeric values for the arguments

Methods (by generic)

• allow_complex(AffAtom): Does the atom handle complex numbers?

• sign_from_args(AffAtom): The sign of the atom.

• is_imag(AffAtom): Is the atom imaginary?

• is_complex(AffAtom): Is the atom complex valued?

• is_atom_convex(AffAtom): The atom is convex.

• is_atom_concave(AffAtom): The atom is concave.

• is_incr(AffAtom): The atom is weakly increasing in every argument.

• is_decr(AffAtom): The atom is not weakly decreasing in any argument.

• is_quadratic(AffAtom): Is every argument quadratic?

• is_qpwa(AffAtom): Is every argument quadratic of piecewise affine?

• is_pwl(AffAtom): Is every argument piecewise linear?

• is_psd(AffAtom): Is the atom a positive semidefinite matrix?

• is_nsd(AffAtom): Is the atom a negative semidefinite matrix?

• .grad(AffAtom): Gives the (sub/super)gradient of the atom w.r.t. each variable