LogDet-class function

The LogDet class.

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

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)

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.