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CVXR (version 1.0)

QuadOverLin-class: The QuadOverLin class.

Description

This class represents the sum of squared entries in X divided by a scalar y, \(\sum_{i,j} X_{i,j}^2/y\).

Usage

QuadOverLin(x, y)
# S4 method for QuadOverLin
allow_complex(object)
# S4 method for QuadOverLin
to_numeric(object, values)
# S4 method for QuadOverLin
validate_args(object)
# S4 method for QuadOverLin
dim_from_args(object)
# S4 method for QuadOverLin
sign_from_args(object)
# S4 method for QuadOverLin
is_atom_convex(object)
# S4 method for QuadOverLin
is_atom_concave(object)
# S4 method for QuadOverLin
is_atom_log_log_convex(object)
# S4 method for QuadOverLin
is_atom_log_log_concave(object)
# S4 method for QuadOverLin
is_incr(object, idx)
# S4 method for QuadOverLin
is_decr(object, idx)
# S4 method for QuadOverLin
is_quadratic(object)
# S4 method for QuadOverLin
is_qpwa(object)
# S4 method for QuadOverLin
.domain(object)
# S4 method for QuadOverLin
.grad(object, values)

Arguments

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.

Methods (by generic)

  • allow_complex: Does the atom handle complex numbers?

  • to_numeric: The sum of the entries of x squared over y.

  • validate_args: Check the dimensions of the arguments.

  • dim_from_args: The atom is a scalar.

  • sign_from_args: The atom is positive.

  • is_atom_convex: The atom is convex.

  • is_atom_concave: The atom is not 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: A logical value indicating whether the atom is weakly increasing in argument idx.

  • is_decr: A logical value indicating whether the atom is weakly decreasing in argument idx.

  • is_quadratic: Quadratic if x is affine and y is constant.

  • is_qpwa: Quadratic of piecewise affine if x is piecewise linear and y is constant.

  • .domain: Returns constraints describing the domain of the node

  • .grad: Gives the (sub/super)gradient of the atom w.r.t. each variable

Slots

x

An '>Expression or numeric matrix.

y

A scalar '>Expression or numeric constant.