This class represents the quadratic form \(x^T P x\)
QuadForm(x, P)
# S4 method for QuadForm
name(x)
# S4 method for QuadForm
allow_complex(object)
# S4 method for QuadForm
to_numeric(object, values)
# S4 method for QuadForm
validate_args(object)
# S4 method for QuadForm
sign_from_args(object)
# S4 method for QuadForm
dim_from_args(object)
# S4 method for QuadForm
is_atom_convex(object)
# S4 method for QuadForm
is_atom_concave(object)
# S4 method for QuadForm
is_atom_log_log_convex(object)
# S4 method for QuadForm
is_atom_log_log_concave(object)
# S4 method for QuadForm
is_incr(object, idx)
# S4 method for QuadForm
is_decr(object, idx)
# S4 method for QuadForm
is_quadratic(object)
# S4 method for QuadForm
is_pwl(object)
# S4 method for QuadForm
.grad(object, values)An Expression or numeric vector.
An Expression, numeric matrix, or vector.
A QuadForm object.
A list of numeric values for the arguments
An index into the atom.
name(QuadForm): The name and arguments of the atom.
allow_complex(QuadForm): Does the atom handle complex numbers?
to_numeric(QuadForm): Returns the quadratic form.
validate_args(QuadForm): Checks the dimensions of the arguments.
sign_from_args(QuadForm): Returns the sign (is positive, is negative) of the atom.
dim_from_args(QuadForm): The dimensions of the atom.
is_atom_convex(QuadForm): Is the atom convex?
is_atom_concave(QuadForm): Is the atom concave?
is_atom_log_log_convex(QuadForm): Is the atom log-log convex?
is_atom_log_log_concave(QuadForm): Is the atom log-log concave?
is_incr(QuadForm): Is the atom weakly increasing in the argument idx?
is_decr(QuadForm): Is the atom weakly decreasing in the argument idx?
is_quadratic(QuadForm): Is the atom quadratic?
is_pwl(QuadForm): Is the atom piecewise linear?
.grad(QuadForm): Gives the (sub/super)gradient of the atom w.r.t. each variable
xAn Expression or numeric vector.
PAn Expression, numeric matrix, or vector.