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QuadOverLin-class

The QuadOverLin class.

Description

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

Usage

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)

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.

CVXR

Disciplined Convex Optimization

v1.0-10
Apache License 2.0 | file LICENSE
Authors
Anqi Fu [aut, cre], Balasubramanian Narasimhan [aut], David W Kang [aut], Steven Diamond [aut], John Miller [aut], Stephen Boyd [ctb], Paul Kunsberg Rosenfield [ctb]
Initial release

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