User:Jqer/Sandbox

$\displaystyle x_{N}^{*}\,=\,c_{N}/u_{N,N}$;

for (i = N-1; i >= 1; i--)
	

$\displaystyle x_{i}^{*}\,:=\,\left(c_{i}\,-\,\sum _{j=i+1}^{N}u_{i,j}x_{j}^{*}\right)/u_{i,i}$;