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CVXR (version 1.0)

LogDet-class: The LogDet class.

Description

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

Usage

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
.grad(object, values)
# 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: 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

Slots

A

An '>Expression or numeric matrix.