M+l/2 M+l 



'M+l/2 



"M+3/2 



M+l M+3/2 M+2 



^-1/2 1 



r+1 





B M+l/2 



M+l/2 





■m+i 





A M+1 



r+1 





B M+3/2 



M+3/2 



= 



r+1 





B L-l/2 



L-l/2 





I 







(48) 



where 



B M+l/2 " B M+l/2 + Vfi 



\ -\-«..,-u 



L+l/2 L+l/2 



37. Since the first matrix on the left hand side of Equation 48 is tri- 

 diagonal , the above matrix equation can be solved by recursion. In general, 

 the recursion relations may be written as 



n * = _p U r+ J-.„ + Q 

 m m m+l/2 x n 



(49) 



u r+ J /9 = -R ,n* + S . 

 m-1/2 m-1 m m-1 



(50) 



29 



