MatrixFrac-class: The MatrixFrac class.

In anqif/CVXR: Disciplined Convex Optimization

The MatrixFrac class.

Description

The matrix fraction function tr(X^T P^{-1} X).

Usage

MatrixFrac(X, P)

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

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

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

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

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

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

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

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

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

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

## S4 method for signature 'MatrixFrac'
is_qpwa(object)

## S4 method for signature 'MatrixFrac'
.domain(object)

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

Arguments

X	An Expression or numeric matrix.
P	An Expression or numeric matrix.
object	A MatrixFrac object.
values	A list of numeric values for the arguments
idx	An index into the atom.

Methods (by generic)

• allow_complex(MatrixFrac): Does the atom handle complex numbers?

• to_numeric(MatrixFrac): The trace of X^TP^{-1}X.

• validate_args(MatrixFrac): Check that the dimensions of x and P match.

• dim_from_args(MatrixFrac): The atom is a scalar.

• sign_from_args(MatrixFrac): The atom is positive.

• is_atom_convex(MatrixFrac): The atom is convex.

• is_atom_concave(MatrixFrac): The atom is not concave.

• is_incr(MatrixFrac): The atom is not monotonic in any argument.

• is_decr(MatrixFrac): The atom is not monotonic in any argument.

• is_quadratic(MatrixFrac): True if x is affine and P is constant.

• is_qpwa(MatrixFrac): True if x is piecewise linear and P is constant.

• .domain(MatrixFrac): Returns constraints describing the domain of the node

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

Slots

X

An Expression or numeric matrix.

P

An Expression or numeric matrix.

anqif/CVXR documentation built on Feb. 6, 2024, 4:28 a.m.