This class represents the infinity-norm.

# S4 method for NormInf
name(x)

# S4 method for NormInf
to_numeric(object, values)

# S4 method for NormInf
allow_complex(object)

# S4 method for NormInf
sign_from_args(object)

# S4 method for NormInf
is_atom_convex(object)

# S4 method for NormInf
is_atom_concave(object)

# S4 method for NormInf
is_atom_log_log_convex(object)

# S4 method for NormInf
is_atom_log_log_concave(object)

# S4 method for NormInf
is_incr(object, idx)

# S4 method for NormInf
is_decr(object, idx)

# S4 method for NormInf
is_pwl(object)

# S4 method for NormInf
get_data(object)

# S4 method for NormInf
.domain(object)

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

# S4 method for 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