The NormInf class.
This class represents the infinity-norm.
## 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)
x, object |
A NormInf object. |
values |
A list of numeric values for the arguments |
idx |
An index into the atom. |
value |
A numeric value |
name
: The name and arguments of the atom.
to_numeric
: Returns the infinity norm of x
.
allow_complex
: Does the atom handle complex numbers?
sign_from_args
: The atom is always positive.
is_atom_convex
: The atom is convex.
is_atom_concave
: The atom is not concave.
is_atom_log_log_convex
: Is the atom log-log convex?
is_atom_log_log_concave
: Is the atom log-log concave?
is_incr
: Is the composition weakly increasing in argument idx
?
is_decr
: Is the composition weakly decreasing in argument idx
?
is_pwl
: Is the atom piecewise linear?
get_data
: Returns the axis.
.domain
: Returns constraints describing the domain of the node
.grad
: Gives the (sub/super)gradient of the atom w.r.t. each variable
.column_grad
: Gives the (sub/super)gradient of the atom w.r.t. each column variable
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