Norm1-class function

The Norm1 class.

This class represents the 1-norm of an expression. class

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.