(* ::Package:: *)

(************************************************************************)
(* This file was generated automatically by the Mathematica front end.  *)
(* It contains Initialization cells from a Notebook file, which         *)
(* typically will have the same name as this file except ending in      *)
(* ".nb" instead of ".m".                                               *)
(*                                                                      *)
(* This file is intended to be loaded into the Mathematica kernel using *)
(* the package loading commands Get or Needs.  Doing so is equivalent   *)
(* to using the Evaluate Initialization Cells menu command in the front *)
(* end.                                                                 *)
(*                                                                      *)
(* DO NOT EDIT THIS FILE.  This entire file is regenerated              *)
(* automatically each time the parent Notebook file is saved in the     *)
(* Mathematica front end.  Any changes you make to this file will be    *)
(* overwritten.                                                         *)
(************************************************************************)



(* ::Input::Initialization:: *)
CF=ExpandNumerator@*ExpandDenominator@*Together


(* ::Input::Initialization:: *)
W[A_?MatrixQ] := Module[{
\[CapitalXi]=A[[1;;-2,1;;-2]],
\[Theta]=A[[-1,1;;-2]],
\[Phi]=A[[1;;-2,-1]],
\[Alpha]=A[[-1,-1]]
},
CF@ArrayFlatten[({
 {{{\[Alpha]^-1}}, {-\[Alpha]^-1\[Theta]}},
 {List /@ (\[Alpha]^-1 \[Phi]), \[CapitalXi]-\[Alpha]^-1 Outer[Times,\[Phi],\[Theta]]}
})]
]


(* ::Input::Initialization:: *)
Y[A_?MatrixQ] := Module[{
\[CapitalXi]=A[[1;;-2,1;;-2]],
\[Theta]=A[[-1,1;;-2]],
\[Phi]=A[[1;;-2,-1]],
\[Alpha]=A[[-1,-1]]
},
CF@ArrayFlatten[({
 {{{1}}, {-\[Theta]}},
 {List /@ (\[Phi]), \[Alpha] \[CapitalXi]-Outer[Times,\[Phi],\[Theta]]}
})]
]



