QuadOverLin-class | R Documentation |
This class represents the sum of squared entries in X divided by a scalar y, ∑_{i,j} X_{i,j}^2/y.
QuadOverLin(x, y) ## S4 method for signature 'QuadOverLin' allow_complex(object) ## S4 method for signature 'QuadOverLin' to_numeric(object, values) ## S4 method for signature 'QuadOverLin' validate_args(object) ## S4 method for signature 'QuadOverLin' dim_from_args(object) ## S4 method for signature 'QuadOverLin' sign_from_args(object) ## S4 method for signature 'QuadOverLin' is_atom_convex(object) ## S4 method for signature 'QuadOverLin' is_atom_concave(object) ## S4 method for signature 'QuadOverLin' is_atom_log_log_convex(object) ## S4 method for signature 'QuadOverLin' is_atom_log_log_concave(object) ## S4 method for signature 'QuadOverLin' is_incr(object, idx) ## S4 method for signature 'QuadOverLin' is_decr(object, idx) ## S4 method for signature 'QuadOverLin' is_quadratic(object) ## S4 method for signature 'QuadOverLin' is_qpwa(object) ## S4 method for signature 'QuadOverLin' .domain(object) ## S4 method for signature 'QuadOverLin' .grad(object, values)
x |
An Expression or numeric matrix. |
y |
A scalar Expression or numeric constant. |
object |
A QuadOverLin object. |
values |
A list of numeric values for the arguments |
idx |
An index into the atom. |
allow_complex(QuadOverLin)
: Does the atom handle complex numbers?
to_numeric(QuadOverLin)
: The sum of the entries of x
squared over y
.
validate_args(QuadOverLin)
: Check the dimensions of the arguments.
dim_from_args(QuadOverLin)
: The atom is a scalar.
sign_from_args(QuadOverLin)
: The atom is positive.
is_atom_convex(QuadOverLin)
: The atom is convex.
is_atom_concave(QuadOverLin)
: The atom is not concave.
is_atom_log_log_convex(QuadOverLin)
: Is the atom log-log convex?
is_atom_log_log_concave(QuadOverLin)
: Is the atom log-log concave?
is_incr(QuadOverLin)
: A logical value indicating whether the atom is weakly increasing in argument idx
.
is_decr(QuadOverLin)
: A logical value indicating whether the atom is weakly decreasing in argument idx
.
is_quadratic(QuadOverLin)
: Quadratic if x
is affine and y
is constant.
is_qpwa(QuadOverLin)
: Quadratic of piecewise affine if x
is piecewise linear and y
is constant.
.domain(QuadOverLin)
: Returns constraints describing the domain of the node
.grad(QuadOverLin)
: Gives the (sub/super)gradient of the atom w.r.t. each variable
x
An Expression or numeric matrix.
y
A scalar Expression or numeric constant.
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