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CVXR (version 0.99-7)

MatrixFrac-class: The MatrixFrac class.

Description

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

Usage

MatrixFrac(X, P)
# S4 method for MatrixFrac
validate_args(object)
# S4 method for MatrixFrac
to_numeric(object, values)
# S4 method for MatrixFrac
size_from_args(object)
# S4 method for MatrixFrac
sign_from_args(object)
# S4 method for MatrixFrac
is_atom_convex(object)
# S4 method for MatrixFrac
is_atom_concave(object)
# S4 method for MatrixFrac
is_incr(object, idx)
# S4 method for MatrixFrac
is_decr(object, idx)
# S4 method for MatrixFrac
is_quadratic(object)
# S4 method for MatrixFrac
graph_implementation(object, arg_objs, size,
  data = NA_real_)

Arguments

X

An '>Expression or numeric matrix.

P

An '>Expression or numeric matrix.

object

A '>MatrixFrac object.

values

A list of arguments to the atom.

idx

An index into the atom.

arg_objs

A list of linear expressions for each argument.

size

A vector with two elements representing the size of the resulting expression.

data

A list of additional data required by the atom.

Methods (by generic)

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

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

  • size_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_incr: The atom is not monotonic in any argument.

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

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

  • graph_implementation: The graph implementation of the atom.

Slots

X

An '>Expression or numeric matrix.

P

An '>Expression or numeric matrix.