ABSTRACT
Equation 37.2, which describes the system in the new coordinates, can be more conveniently represented as follows. Set
ξ =
⎛ ⎜⎜⎝
z1 z2 · · · zr
⎞ ⎟⎟⎠ η =
⎛ ⎜⎜⎝
zr+1 zr+2 · · · zn
⎞ ⎟⎟⎠ ,
and recall that, in particular,
ξ =
⎛ ⎜⎜⎝
h(x) Lf h(x) · · ·
⎞ ⎟⎟⎠ .