Norm1-class: The Norm1 class.

In CVXR: Disciplined Convex Optimization

The Norm1 class.

Description

This class represents the 1-norm of an expression.

Usage

Norm1(x, axis = NA_real_, keepdims = FALSE)

## S4 method for signature 'Norm1'
name(x)

## S4 method for signature 'Norm1'
to_numeric(object, values)

## S4 method for signature 'Norm1'
allow_complex(object)

## S4 method for signature 'Norm1'
sign_from_args(object)

## S4 method for signature 'Norm1'
is_atom_convex(object)

## S4 method for signature 'Norm1'
is_atom_concave(object)

## S4 method for signature 'Norm1'
is_incr(object, idx)

## S4 method for signature 'Norm1'
is_decr(object, idx)

## S4 method for signature 'Norm1'
is_pwl(object)

## S4 method for signature 'Norm1'
get_data(object)

## S4 method for signature 'Norm1'
.domain(object)

## S4 method for signature 'Norm1'
.grad(object, values)

## S4 method for signature '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.

CVXR documentation built on June 27, 2024, 5:11 p.m.