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

LogDet(A)

# S4 method for LogDet
to_numeric(object, values)

# S4 method for LogDet
validate_args(object)

# S4 method for LogDet
dim_from_args(object)

# S4 method for LogDet
sign_from_args(object)

# S4 method for LogDet
is_atom_convex(object)

# S4 method for LogDet
is_atom_concave(object)

# S4 method for LogDet
is_incr(object, idx)

# S4 method for LogDet
is_decr(object, idx)

# S4 method for LogDet

# S4 method for 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.