7,111
edits
(→Example: Had to change sign here to.) 
m (A and D are matrices and do not need to be enclosed by brackets) 

:<math>
U =
\begin{bmatrix} u_{22}, u_{32}, u_{42}, u_{23}, u_{33}, u_{43}, u_{24}, u_{34}, u_{44}
\end{bmatrix}^{T}
== Methods of solution ==
Because <math>
have been developed to optimally solve this linear system for <math> \begin{bmatrix} U \end{bmatrix} </math>.
Among the methods are a generalized [[Thomas algorithm]], [[cyclic reduction]], [[successive overrelaxation]], and [[Fourier transform]]s. A theoretically optimal <math> O(n) </math> solution can also be computed using [[multigrid methods]].
