The nuclear norm, i.e. sum of the singular values of a matrix.
NormNuc(A)
# S4 method for NormNuc
to_numeric(object, values)
# S4 method for NormNuc
allow_complex(object)
# S4 method for NormNuc
dim_from_args(object)
# S4 method for NormNuc
sign_from_args(object)
# S4 method for NormNuc
is_atom_convex(object)
# S4 method for NormNuc
is_atom_concave(object)
# S4 method for NormNuc
is_incr(object, idx)
# S4 method for NormNuc
is_decr(object, idx)
# S4 method for NormNuc
.grad(object, values)An Expression or numeric matrix.
A NormNuc object.
A list of numeric values for the arguments
An index into the atom.
to_numeric(NormNuc): The nuclear norm (i.e., the sum of the singular values) of A.
allow_complex(NormNuc): Does the atom handle complex numbers?
dim_from_args(NormNuc): The atom is a scalar.
sign_from_args(NormNuc): The atom is positive.
is_atom_convex(NormNuc): The atom is convex.
is_atom_concave(NormNuc): The atom is not concave.
is_incr(NormNuc): The atom is not monotonic in any argument.
is_decr(NormNuc): The atom is not monotonic in any argument.
.grad(NormNuc): Gives the (sub/super)gradient of the atom w.r.t. each variable
AAn Expression or numeric matrix.