The LogDet class.

Source: R/atoms.R

The natural logarithm of the determinant of a matrix, \(\log\det(A)\).

LogDet(A)

# S4 method for class 'LogDet'
to_numeric(object, values)

# S4 method for class 'LogDet'
validate_args(object)

# S4 method for class 'LogDet'
dim_from_args(object)

# S4 method for class 'LogDet'
sign_from_args(object)

# S4 method for class 'LogDet'
is_atom_convex(object)

# S4 method for class 'LogDet'
is_atom_concave(object)

# S4 method for class 'LogDet'
is_incr(object, idx)

# S4 method for class 'LogDet'
is_decr(object, idx)

# S4 method for class 'LogDet'
.grad(object, values)

# S4 method for class 'LogDet'
.domain(object)

Arguments

A

An Expression or numeric matrix.

object

A LogDet object.

values

A list of numeric values for the arguments

idx

An index into the atom.

Methods (by generic)

  • to_numeric(LogDet): The log-determinant of SDP matrix A. This is the sum of logs of the eigenvalues and is equivalent to the nuclear norm of the matrix logarithm of A.

  • validate_args(LogDet): Check that A is square.

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

  • sign_from_args(LogDet): The atom is non-negative.

  • is_atom_convex(LogDet): The atom is not convex.

  • is_atom_concave(LogDet): The atom is concave.

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

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

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

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

Slots

A

An Expression or numeric matrix.