  Topological superconductors in one spatial dimension exhibiting a single
Majorana bound state at each end are distinguished from trivial gapped systems
by a Z_2 topological invariant. Originally, this invariant was calculated by
Kitaev in terms of the Pfaffian of the Majorana representation of the
Hamiltonian: The sign of this Pfaffian divides the set of all gapped quadratic
forms of Majorana fermions into two inequivalent classes. In the more familiar
Bogoliubov de Gennes mean field description of superconductivity, an emergent
particle hole symmetry gives rise to a quantized Zak-Berry phase the value of
which is also a topological invariant. In this work, we explicitly show the
equivalence of these two formulations by relating both of them to the phase
winding of the transformation matrix that brings the Majorana representation
matrix of the Hamiltonian into its Jordan normal form.
