QuadForm-class function

The QuadForm class.

This class represents the quadratic form $x^T P x$ class

QuadForm(x, P)

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

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

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

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

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

## S4 method for signature 'QuadForm'
dim_from_args(object)

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

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

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

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

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

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

## S4 method for signature 'QuadForm'
is_quadratic(object)

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

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

Arguments

• x: An Expression or numeric vector.
• P: An Expression , numeric matrix, or vector.
• object: A QuadForm object.
• values: A list of numeric values for the arguments
• idx: An index into the atom.

Methods (by generic)

• name(QuadForm): The name and arguments of the atom.
• allow_complex(QuadForm): Does the atom handle complex numbers?
• to_numeric(QuadForm): Returns the quadratic form.
• validate_args(QuadForm): Checks the dimensions of the arguments.
• sign_from_args(QuadForm): Returns the sign (is positive, is negative) of the atom.
• dim_from_args(QuadForm): The dimensions of the atom.
• is_atom_convex(QuadForm): Is the atom convex?
• is_atom_concave(QuadForm): Is the atom concave?
• is_atom_log_log_convex(QuadForm): Is the atom log-log convex?
• is_atom_log_log_concave(QuadForm): Is the atom log-log concave?
• is_incr(QuadForm): Is the atom weakly increasing in the argument idx?
• is_decr(QuadForm): Is the atom weakly decreasing in the argument idx?
• is_quadratic(QuadForm): Is the atom quadratic?
• is_pwl(QuadForm): Is the atom piecewise linear?
• .grad(QuadForm): Gives the (sub/super)gradient of the atom w.r.t. each variable

Slots

• x: An Expression or numeric vector.
• P: An Expression , numeric matrix, or vector.