49     typedef _Scalar                                Scalar;  typedef
50     typedef typename NumTraits<Scalar>::Real       RealScalar;
51     typedef Matrix<Scalar, Deg, 1>                 RightColumn;
53     typedef Matrix<Scalar, Deg_1, 1>               BottomLeftDiagonal;
55     typedef Matrix<Scalar, Deg, Deg>               DenseCompanionMatrixType;
56     typedef Matrix< Scalar, _Deg, Deg_1 >          LeftBlock;
57     typedef Matrix< Scalar, Deg_1, Deg_1 >         BottomLeftBlock;
58     typedef Matrix< Scalar, 1, Deg_1 >             LeftBlockFirstRow;
110     bool balanced( Scalar colNorm, Scalar rowNorm,
111         bool& isBalanced, Scalar& colB, Scalar& rowB );
119     bool balancedR( Scalar colNorm, Scalar rowNorm,
120         bool& isBalanced, Scalar& colB, Scalar& rowB );
142 bool companion<_Scalar,_Deg>::balanced( Scalar colNorm, Scalar rowNorm,  in balanced()
143     bool& isBalanced, Scalar& colB, Scalar& rowB )  in balanced()
145   if( Scalar(0) == colNorm || Scalar(0) == rowNorm ){ return true; }  in balanced()
153     rowB = rowNorm / radix<Scalar>();  in balanced()
154     colB = Scalar(1);  in balanced()
155     const Scalar s = colNorm + rowNorm;  in balanced()
159       colB *= radix<Scalar>();  in balanced()
160       colNorm *= radix2<Scalar>();  in balanced()
163     rowB = rowNorm * radix<Scalar>();  in balanced()
167       colB /= radix<Scalar>();  in balanced()
168       colNorm /= radix2<Scalar>();  in balanced()
172     if ((rowNorm + colNorm) < Scalar(0.95) * s * colB)  in balanced()
175       rowB = Scalar(1) / colB;  in balanced()
185 bool companion<_Scalar,_Deg>::balancedR( Scalar colNorm, Scalar rowNorm,  in balancedR()
186     bool& isBalanced, Scalar& colB, Scalar& rowB )  in balancedR()
188   if( Scalar(0) == colNorm || Scalar(0) == rowNorm ){ return true; }  in balancedR()
199       colB = Scalar(1)/rowB;  in balancedR()
222     Scalar colNorm,rowNorm;  in balance()
223     Scalar colB,rowB;  in balance()