Atom-class function

The Atom class.

This virtual class represents atomic expressions in CVXR. class

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

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

## S4 method for signature 'Atom'
dim(x)

## S4 method for signature 'Atom'
nrow(x)

## S4 method for signature 'Atom'
ncol(x)

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

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

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

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

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

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

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

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

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

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

## S4 method for signature 'Atom'
graph_implementation(object, arg_objs, dim, data = NA_real_)

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

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

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

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

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

Arguments

• x, object: An Atom object.
• arg_objs: A list of linear expressions for each argument.
• dim: A vector with two elements representing the dimensions of the resulting expression.
• data: A list of additional data required by the atom.

Methods (by generic)

• name(Atom): Returns the string representtation of the function call
• validate_args(Atom): Raises an error if the arguments are invalid.
• dim(Atom): The c(row, col) dimensions of the atom.
• nrow(Atom): The number of rows in the atom.
• ncol(Atom): The number of columns in the atom.
• allow_complex(Atom): Does the atom handle complex numbers?
• is_nonneg(Atom): A logical value indicating whether the atom is nonnegative.
• is_nonpos(Atom): A logical value indicating whether the atom is nonpositive.
• is_imag(Atom): A logical value indicating whether the atom is imaginary.
• is_complex(Atom): A logical value indicating whether the atom is complex valued.
• is_convex(Atom): A logical value indicating whether the atom is convex.
• is_concave(Atom): A logical value indicating whether the atom is concave.
• is_log_log_convex(Atom): A logical value indicating whether the atom is log-log convex.
• is_log_log_concave(Atom): A logical value indicating whether the atom is log-log concave.
• canonicalize(Atom): Represent the atom as an affine objective and conic constraints.
• graph_implementation(Atom): The graph implementation of the atom.
• value_impl(Atom): Returns the value of each of the componets in an Atom. Returns an empty matrix if it's an empty atom
• value(Atom): Returns the value of the atom.
• grad(Atom): The (sub/super)-gradient of the atom with respect to each variable.
• domain(Atom): A list of constraints describing the closure of the region where the expression is finite.
• atoms(Atom): Returns a list of the atom types present amongst this atom's arguments