CVXR (version 0.99-7)

NormNuc-class: The NormNuc class.

Description

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

Usage

NormNuc(A)
# S4 method for NormNuc
to_numeric(object, values)
# S4 method for NormNuc
size_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
graph_implementation(object, arg_objs, size,
  data = NA_real_)

Arguments

A

An '>Expression representing a matrix.

object

A '>NormNuc object.

values

A list of arguments to the atom.

idx

An index into the atom.

arg_objs

A list of linear expressions for each argument.

size

A vector with two elements representing the size of the resulting expression.

data

A list of additional data required by the atom.

Methods (by generic)

• to_numeric: The nuclear norm (i.e., the sum of the singular values) of A.

• size_from_args: The atom is a scalar.

• sign_from_args: The atom is positive.

• is_atom_convex: The atom is convex.

• is_atom_concave: The atom is not concave.

• is_incr: The atom is not monotonic in any argument.

• is_decr: The atom is not monotonic in any argument.

• graph_implementation: The graph implementation of the atom.

Slots

A

An '>Expression representing a matrix.