l1={a,b,c};l2={d,e,f};l3={g,h,i};
Do[
m1=Table[(l1[[i]]+l2[[j]]),{i,3},{j,3}]; (*just as an example, not the real operations*)
m2=Table[(l1[[i]]+l3[[j]]),{i,3},{j,3}];
{vl,m1d,vr}=SingularValueDecomposition[m1];
{ul,m2d,ur}=SingularValueDecomposition[m2];
...
,{a,2,5},{b,a-1},{c,0,b-1},{d,2,5},{e,d-1},{f,0,e-1},{g,2,5},{h,g-1},{i,0,h-1}
]