NormInf-class: The NormInf class.

In CVXR: Disciplined Convex Optimization

The NormInf class.

Description

This class represents the infinity-norm.

Usage

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

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

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

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

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

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

## S4 method for signature 'NormInf'
is_atom_log_log_convex(object)

## S4 method for signature 'NormInf'
is_atom_log_log_concave(object)

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

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

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

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

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

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

## S4 method for signature 'NormInf'
.column_grad(object, value)

Arguments

x, object	A NormInf object.
values	A list of numeric values for the arguments
idx	An index into the atom.
value	A numeric value

Methods (by generic)

• name(NormInf): The name and arguments of the atom.

• to_numeric(NormInf): Returns the infinity norm of x.

• allow_complex(NormInf): Does the atom handle complex numbers?

• sign_from_args(NormInf): The atom is always positive.

• is_atom_convex(NormInf): The atom is convex.

• is_atom_concave(NormInf): The atom is not concave.

• is_atom_log_log_convex(NormInf): Is the atom log-log convex?

• is_atom_log_log_concave(NormInf): Is the atom log-log concave?

• is_incr(NormInf): Is the composition weakly increasing in argument idx?

• is_decr(NormInf): Is the composition weakly decreasing in argument idx?

• is_pwl(NormInf): Is the atom piecewise linear?

• get_data(NormInf): Returns the axis.

• .domain(NormInf): Returns constraints describing the domain of the node

• .grad(NormInf): Gives the (sub/super)gradient of the atom w.r.t. each variable

• .column_grad(NormInf): Gives the (sub/super)gradient of the atom w.r.t. each column variable

CVXR documentation built on April 4, 2025, 1:08 a.m.