Программа. Classes, sysutils, fileutil, Forms, Controls, Graphics, Dialogs, stdctrls

unit Unit1;

{$mode objfpc}{$H+}

interface

uses

Classes, SysUtils, FileUtil, Forms, Controls, Graphics, Dialogs, StdCtrls;

type

{ TForm1 }

TForm1 = class(TForm)

Button1: TButton;

Edit1: TEdit; Edit10: TEdit; Edit11: TEdit; Edit12: TEdit;

Edit13: TEdit; Edit14: TEdit; Edit15: TEdit; Edit16: TEdit;

Edit2: TEdit; Edit3: TEdit; Edit4: TEdit; Edit5: TEdit;

Edit6: TEdit; Edit7: TEdit; Edit8: TEdit; Edit9: TEdit;

Label1: TLabel; Label2: TLabel; Label3: TLabel; Label4: TLabel;

Label5: TLabel; Label6: TLabel; Label7: TLabel; Label8: TLabel;

procedure Button1Click(Sender: TObject);

private

{ private declarations }

public

{ public declarations }

end;

var

Form1: TForm1;

const

m=3; n=4;

Type

mas = array [1..m,1..n] of real;

vek = array [1..m] of real;

Procedure zejd(A:mas; var x:vek; Eps:real; m,n:integer);

implementation

{$R *.lfm}

{ TForm1 } {Процедура: метод Зейделя}

Procedure zejd(A:mas; var x:vek; Eps:real; m,n:integer);

var

B:mas; xx:vek; s:real; i,j,k:byte; bol:boolean;

begin

for i:=1 to m do begin

s:=a[i,i];

for j:=1 to n do begin

b[i,j]:=a[i,j]/s;

end;

end;

for i:=1 to m do begin

a[i,1]:=b[i,n];

k:=1;

for j:=1 to n do

if j<>i then begin

k:=k+1;

a[i,k]:=b[i,j]*(-1);

end;

end;

{ Итерационный процесс }

x[1]:=a[1,1];

for i:=2 to m do x[i]:=0;

xx:=x;

k:=0;

repeat

k:=k+1;

for i:=1 to m do begin

s:=0;

for j:=1 to m do

s:=s+a[i,j]*X[j];

X[i]:=s;

end;

bol:=true;

for i:=1 to m do

if abs(x[i]-xx[i])>eps then bol:=false;

xx:=x;

until bol;

end;

{ Кнопка }

procedure TForm1.Button1Click(Sender: TObject);

var

A:mas;

x:vek;

i,j:integer; Eps:real;

begin

eps:=StrToFloat(Form1.Edit16.Text);

{Исходная система линейных уравнениия:}

a[1,1]:=StrToFloat(Form1.Edit1.Text);

a[1,2]:=StrToFloat(Form1.Edit2.Text);

a[1,3]:=StrToFloat(Form1.Edit3.Text);

a[1,4]:=StrToFloat(Form1.Edit10.Text);

a[2,1]:=StrToFloat(Form1.Edit4.Text);

a[2,2]:=StrToFloat(Form1.Edit5.Text);

a[2,3]:=StrToFloat(Form1.Edit6.Text);

a[2,4]:=StrToFloat(Form1.Edit11.Text);

a[3,1]:=StrToFloat(Form1.Edit7.Text);

a[3,2]:=StrToFloat(Form1.Edit8.Text);

a[3,3]:=StrToFloat(Form1.Edit9.Text);

a[3,4]:=StrToFloat(Form1.Edit12.Text);

zejd(A, x, Eps, m, n);

Form1.Edit13.Text:=FloatToStr(x[1]);

Form1.Edit14.Text:=FloatToStr(x[2]);

Form1.Edit15.Text:=FloatToStr(x[3]);

end;

end.