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C!T ROM 2
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PROGRAM
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PASCAL
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NRPAS13
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LUBKSB.DEM
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1991-04-29
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PROGRAM d2r3(input,output,dfile);
(* driver for routine LUBKSB *)
LABEL 10,99;
CONST
np=20;
TYPE
glnpbynp=ARRAY [1..np,1..np] OF real;
glnarray=ARRAY [1..np] OF real;
glindx=ARRAY [1..np] OF integer;
VAR
j,k,l,m,n : integer;
p : real;
a,b,c : glnpbynp;
indx : glindx;
x : glnarray;
dfile : text;
(*$I MODFILE.PAS *)
(*$I LUDCMP.PAS *)
(*$I LUBKSB.PAS *)
BEGIN
glopen(dfile,'matrx1.dat');
10: readln(dfile);
readln(dfile);
readln(dfile,n,m);
readln(dfile);
FOR k := 1 to n DO BEGIN
FOR l := 1 to n-1 DO read(dfile,a[k,l]);
readln(dfile,a[k,n])
END;
readln(dfile);
FOR l := 1 to m DO BEGIN
FOR k := 1 to n-1 DO read(dfile,b[k,l]);
readln(dfile,b[n,l])
END;
(* save matrix a for later testing *)
FOR l := 1 to n DO BEGIN
FOR k := 1 to n DO BEGIN
c[k,l] := a[k,l]
END
END;
(* do lu decomposition *)
ludcmp(c,n,np,indx,p);
(* solve equations for each right-hand vector *)
FOR k := 1 to m DO BEGIN
FOR l := 1 to n DO BEGIN
x[l] := b[l,k]
END;
lubksb(c,n,np,indx,x);
(* test results with original matrix *)
writeln('right-hand side vector:');
FOR l := 1 to n-1 DO write(b[l,k]:12:6);
writeln(b[n,k]:12:6);
writeln ('result of matrix applied to sol''n vector');
FOR l := 1 to n DO BEGIN
b[l,k] := 0.0;
FOR j := 1 to n DO BEGIN
b[l,k] := b[l,k]+a[l,j]*x[j]
END
END;
FOR l := 1 to n-1 DO write(b[l,k]:12:6);
writeln(b[n,k]:12:6);
writeln('***********************************')
END;
IF eof(dfile) THEN GOTO 99;
writeln('press RETURN for next problem:');
readln;
GOTO 10;
99: close(dfile)
END.