NormNuc-class | R Documentation |
The nuclear norm, i.e. sum of the singular values of a matrix.
NormNuc(A) ## S4 method for signature 'NormNuc' to_numeric(object, values) ## S4 method for signature 'NormNuc' allow_complex(object) ## S4 method for signature 'NormNuc' dim_from_args(object) ## S4 method for signature 'NormNuc' sign_from_args(object) ## S4 method for signature 'NormNuc' is_atom_convex(object) ## S4 method for signature 'NormNuc' is_atom_concave(object) ## S4 method for signature 'NormNuc' is_incr(object, idx) ## S4 method for signature 'NormNuc' is_decr(object, idx) ## S4 method for signature 'NormNuc' .grad(object, values)
A |
An Expression or numeric matrix. |
object |
A NormNuc object. |
values |
A list of numeric values for the arguments |
idx |
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
A
An Expression or numeric matrix.
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