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MPROVE.DEM
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1991-04-29
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PROGRAM d2r5(input,output);
(* driver for routine MPROVE *)
CONST
n=5;
np=n;
TYPE
glnarray = ARRAY [1..n] OF real;
glindx = ARRAY [1..n] OF integer;
glnpbynp = ARRAY [1..np,1..np] OF real;
VAR
glinext,glinextp : integer;
glma : ARRAY [1..55] OF real;
d : real;
i,idum,j : integer;
a,aa : glnpbynp;
b,x : glnarray;
indx : glindx;
(*$I MODFILE.PAS *)
(*$I RAN3.PAS *)
(*$I LUDCMP.PAS *)
(*$I LUBKSB.PAS *)
(*$I MPROVE.PAS *)
BEGIN
a[1,1] := 1.0; a[1,2] := 2.0; a[1,3] := 3.0; a[1,4] := 4.0;
a[1,5] := 5.0; a[2,1] := 2.0; a[2,2] := 3.0; a[2,3] := 4.0;
a[2,4] := 5.0; a[2,5] := 1.0; a[3,1] := 1.0; a[3,2] := 1.0;
a[3,3] := 1.0; a[3,4] := 1.0; a[3,5] := 1.0; a[4,1] := 4.0;
a[4,2] := 5.0; a[4,3] := 1.0; a[4,4] := 2.0; a[4,5] := 3.0;
a[5,1] := 5.0; a[5,2] := 1.0; a[5,3] := 2.0; a[5,4] := 3.0;
a[5,5] := 4.0;
b[1] := 1.0; b[2] := 1.0; b[3] := 1.0; b[4] := 1.0; b[5] := 1.0;
FOR i := 1 to n DO BEGIN
x[i] := b[i];
FOR j := 1 to n DO BEGIN
aa[i,j] := a[i,j]
END
END;
ludcmp(aa,n,np,indx,d);
lubksb(aa,n,np,indx,x);
writeln;
writeln('Solution vector for the equations:');
FOR i := 1 to n DO write(x[i]:12:6);
writeln;
(* now phoney up x and let mprove fit it *)
idum := -13;
FOR i := 1 to n DO BEGIN
x[i] := x[i]*(1.0+0.2*ran3(idum))
END;
writeln;
writeln('Solution vector with noise added:');
FOR i := 1 to n DO write(x[i]:12:6);
writeln;
mprove(a,aa,n,np,indx,b,x);
writeln;
writeln('Solution vector recovered by mprove:');
FOR i := 1 to n DO write(x[i]:12:6);
writeln
END.