The AffAtom class.
This virtual class represents an affine atomic expression. class
## 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)
object
: An AffAtom object.idx
: An index into the atom.values
: A list of numeric values for the argumentsallow_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