curvature-atom function

Curvature of an Atom

Determine if an atom is convex, concave, or affine.

is_atom_convex(object)

is_atom_concave(object)

is_atom_affine(object)

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

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

## S4 method for signature 'Atom'
is_atom_affine(object)

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

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

## S4 method for signature 'Atom'
is_atom_log_log_affine(object)

Arguments

• object: A Atom object.

Returns

A logical value.

Examples

x <- Variable()

is_atom_convex(x^2)
is_atom_convex(sqrt(x))
is_atom_convex(log(x))

is_atom_concave(-abs(x))
is_atom_concave(x^2)
is_atom_concave(sqrt(x))

is_atom_affine(2*x)
is_atom_affine(x^2)