The QuadForm class.
This class represents the quadratic form x^T P x
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)
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. |
name
: The name and arguments of the atom.
allow_complex
: Does the atom handle complex numbers?
to_numeric
: Returns the quadratic form.
validate_args
: Checks the dimensions of the arguments.
sign_from_args
: Returns the sign (is positive, is negative) of the atom.
dim_from_args
: The dimensions of the atom.
is_atom_convex
: Is the atom convex?
is_atom_concave
: Is the atom 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 atom weakly increasing in the argument idx
?
is_decr
: Is the atom weakly decreasing in the argument idx
?
is_quadratic
: Is the atom quadratic?
is_pwl
: Is the atom piecewise linear?
.grad
: Gives the (sub/super)gradient of the atom w.r.t. each variable
x
An Expression or numeric vector.
P
An Expression, numeric matrix, or vector.
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