📄 elmhes.pas
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PROCEDURE elmhes(VAR a: glnpnp; n: integer);
(* Programs using routine ELMHES must define the type
TYPE
glnpnp = ARRAY [1..np,1..np]
where 'np by np' is the physical dimension of the matrix to be reduced. *)
VAR
m,j,i: integer;
y,x: real;
BEGIN
IF (n > 2) THEN BEGIN
FOR m := 2 TO n-1 DO BEGIN
x := 0.0;
i := m;
FOR j := m TO n DO BEGIN
IF (abs(a[j,m-1]) > abs(x)) THEN BEGIN
x := a[j,m-1];
i := j
END
END;
IF (i <> m) THEN BEGIN
FOR j := m-1 TO n DO BEGIN
y := a[i,j];
a[i,j] := a[m,j];
a[m,j] := y
END;
FOR j := 1 TO n DO BEGIN
y := a[j,i];
a[j,i] := a[j,m];
a[j,m] := y
END
END;
IF (x <> 0.0) THEN BEGIN
FOR i := m+1 TO n DO BEGIN
y := a[i,m-1];
IF (y <> 0.0) THEN BEGIN
y := y/x;
a[i,m-1] := y;
FOR j := m TO n DO a[i,j] := a[i,j]-y*a[m,j];
FOR j := 1 TO n DO a[j,m] := a[j,m]+y*a[j,i]
END
END
END
END
END
END;
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