NormNuc-class function

The NormNuc class.

The nuclear norm, i.e. sum of the singular values of a matrix. class

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)

Arguments

• 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.

Methods (by generic)

• 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

Slots

• A: An Expression or numeric matrix.