Norm1-class: The Norm1 class.

Description

This class represents the 1-norm of an expression.

Usage

Norm1(x, axis = NA_real_, keepdims = FALSE)
# S4 method for Norm1
name(x)
# S4 method for Norm1
to_numeric(object, values)
# S4 method for Norm1
allow_complex(object)
# S4 method for Norm1
sign_from_args(object)
# S4 method for Norm1
is_atom_convex(object)
# S4 method for Norm1
is_atom_concave(object)
# S4 method for Norm1
is_incr(object, idx)
# S4 method for Norm1
is_decr(object, idx)
# S4 method for Norm1
is_pwl(object)
# S4 method for Norm1
get_data(object)
# S4 method for Norm1
.domain(object)
# S4 method for Norm1
.grad(object, values)
# S4 method for Norm1
.column_grad(object, value)

Arguments

x: An Expression object.
axis: (Optional) The dimension across which to apply the function: 1 indicates rows, 2 indicates columns, and NA indicates rows and columns. The default is NA.
keepdims: (Optional) Should dimensions be maintained when applying the atom along an axis? If FALSE, result will be collapsed into an \(n x 1\) column vector. The default is FALSE.
object: A Norm1 object.
values: A list of numeric values for the arguments
idx: An index into the atom.
value: A numeric value

Methods (by generic)

name(Norm1): The name and arguments of the atom.
to_numeric(Norm1): Returns the 1-norm of x along the given axis.
allow_complex(Norm1): Does the atom handle complex numbers?
sign_from_args(Norm1): The atom is always positive.
is_atom_convex(Norm1): The atom is convex.
is_atom_concave(Norm1): The atom is not concave.
is_incr(Norm1): Is the composition weakly increasing in argument idx?
is_decr(Norm1): Is the composition weakly decreasing in argument idx?
is_pwl(Norm1): Is the atom piecewise linear?
get_data(Norm1): Returns the axis.
.domain(Norm1): Returns constraints describing the domain of the node
.grad(Norm1): Gives the (sub/super)gradient of the atom w.r.t. each variable
.column_grad(Norm1): Gives the (sub/super)gradient of the atom w.r.t. each column variable

Slots

x: An Expression object.