The LogDet class.
The natural logarithm of the determinant of a matrix, \log\det(A).
LogDet(A) ## S4 method for signature 'LogDet' to_numeric(object, values) ## S4 method for signature 'LogDet' validate_args(object) ## S4 method for signature 'LogDet' dim_from_args(object) ## S4 method for signature 'LogDet' sign_from_args(object) ## S4 method for signature 'LogDet' is_atom_convex(object) ## S4 method for signature 'LogDet' is_atom_concave(object) ## S4 method for signature 'LogDet' is_incr(object, idx) ## S4 method for signature 'LogDet' is_decr(object, idx) ## S4 method for signature 'LogDet' .grad(object, values) ## S4 method for signature 'LogDet' .domain(object)
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. |
to_numeric: 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: Check that A is square.
dim_from_args: The atom is a scalar.
sign_from_args: The atom is non-negative.
is_atom_convex: The atom is not convex.
is_atom_concave: The atom is concave.
is_incr: The atom is not monotonic in any argument.
is_decr: The atom is not monotonic in any argument.
.grad: Gives the (sub/super)gradient of the atom w.r.t. each variable
.domain: Returns constraints describing the domain of the node
AAn Expression or numeric matrix.
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