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  1. using System;
  2.  
  3. public class Test
  4. {
  5. 	public static void Main()
  6. 	{
  7. 		int N = 10;
  8.             double p = 0.3 * N, t = 0.2 * N;
  9.             int count = 0;
  10.             double[,] A, B;
  11.             A= new double[,]{
  12.                 {12.5,1.4,1.1+p,0.7,-7+t}, 
  13.                 {1.2,10,1.5,1.7+p,6-0.2*t}, 
  14.                 {1.1,2.5-p,11.2,1.3,10.3},
  15.                 {0.7,2,3.1,15,-5-t}};
  16.             B = new double[4, 5];
  17.             double[] x, b;
  18.             x = new double[4];
  19.             b = new double[4] { 0, 0, 0, 0 };
  20.             Console.WriteLine("Startup matrix:");
  21.             for (int i = 0; i < 4; i++)
  22.                 for (int j = 0; j < 5; j++)
  23.                 {
  24.                     Console.Write(A[i, j] + "\t");
  25.                     count++;
  26.                     if (count == 4) Console.Write("=");
  27.                     if (count == 5){Console.Write("\n");count = 0;}
  28.                 }   //вывести на экран наш массив
  29.             Console.WriteLine();
  30.             double[,] IterationA, IterationB;
  31.             IterationA = new double[4, 5];
  32.             IterationB = new double[4, 5];
  33.             int IterationNum = 0, Iteration = 1;
  34.             double alfa, epsilon =-1;
  35.             double iter, check=0;    //||x(k+1)-x(k)||
  36.  
  37.             Console.WriteLine("Iteration #" + Iteration);
  38.             for (int i = 0; i < 4; i++)  //ищем х1,2,3,4
  39.                 for (int j = 0; j < 5; j++)
  40.                 {
  41.                     if (Iteration == 1) B[i, j] = A[i, j]; //Первое получение значений массива А
  42.                     if (i == j) B[i, j] = 0;
  43.                     else
  44.                     {
  45.                         if (j < 3) B[i, j] = -B[i, j] / A[i, i];        //x[1..3]=-b[i]/a[i]
  46.                         else B[i, j] = B[i, j] / A[i, i];               //x[4](beta)=b[i]/a[i,i] 
  47.                     }
  48.                     Console.Write(Math.Round(B[i, j], 4) + "\t");
  49.                     count++;
  50.                     if (count == 4) Console.Write("=");
  51.                     if (count == 5) { Console.Write("\n"); count = 0; }
  52.                 } //массив B
  53.  
  54.             for (int i = 0; i < 4; i++) b[i] = B[i, 4];  //beta(1,2,3,4)
  55.  
  56.             for (int i = 0; i < 4; i++)
  57.                 for (int j = 0; j < 5; j++)
  58.                 {
  59.                     if (j < 4) x[i] += B[i, j] * b[i];
  60.                     else x[i] += B[i, j];
  61.                 } Console.WriteLine(); //значения x
  62.  
  63.             //alfa (делается 1 раз)
  64.             double[] elem = new double[4]; //значения при х(k)
  65.             for (int i = 0; i < 4; i++)
  66.                 for (int j = 0; j < 4; j++)
  67.                 {
  68.                     elem[i] += B[i, j];
  69.                 }
  70.             alfa = elem[0];  //||a||
  71.             for (int i = 1; i < 4; i++)
  72.                 if (Math.Abs(elem[i]) > alfa) alfa = Math.Abs(elem[i]);
  73.             Console.WriteLine("a=" + alfa);
  74.             //
  75.  
  76.  
  77.             if (Iteration%2!=0)
  78.             {
  79.                 IterationA = B;
  80.                 IterationNum = 1;
  81.             }
  82.             else
  83.             {
  84.                 IterationB = B;
  85.                 IterationNum = 0;
  86.             }
  87. //первая итерация
  88.  
  89.             while (check > epsilon)
  90.             {
  91.                 epsilon = 0.0001;
  92.                 Iteration++;
  93.                 if (Iteration>11)
  94.                 {
  95.                     Console.WriteLine("TOO MUCH ITERATIONS");
  96.                     break;
  97.                 }
  98.                 Console.WriteLine("Iteration #" + Iteration);
  99.  
  100.                 for (int i = 0; i < 4; i++)  //ищем х1,2,3,4
  101.                     for (int j = 0; j < 5; j++)
  102.                     {
  103.                         if (Iteration == 1) B[i, j] = A[i, j]; //Первое получение значений массива А
  104.                         if (i == j) B[i, j] = 0;
  105.                         else{
  106.                             if (j < 3) B[i, j] = -B[i, j] / A[i, i];        //x[1..3]=-b[i]/a[i]
  107.                             else B[i, j] = B[i, j] / A[i, i];               //x[4](beta)=b[i]/a[i,i] 
  108.                         }
  109.                         Console.Write(Math.Round(B[i, j], 4) + "\t");
  110.                         count++;
  111.                         if (count == 4) Console.Write("=");
  112.                         if (count == 5){Console.Write("\n"); count = 0;}
  113.                     } //массив B
  114.  
  115.                 for (int i = 0; i < 4; i++) b[i] = B[i, 4];  //beta(1,2,3,4)
  116.  
  117.                 for (int i = 0; i < 4; i++)
  118.                     for (int j = 0; j < 5; j++){
  119.                         if (j < 4) x[i] += B[i, j] * b[i];
  120.                         else x[i] += B[i, j];
  121.                     } Console.WriteLine(); //значения x
  122.  
  123.                 Console.WriteLine("Критичне місце");
  124.                 if (Iteration%2!=0){
  125.                 	Console.WriteLine("Гілка A");
  126.                     IterationA = B;
  127.                     IterationNum = 1;
  128.                 }
  129.                 else{
  130.                 	Console.WriteLine("Гілка B");
  131.                     IterationB = B;
  132.                     IterationNum = 0;
  133.                 }
  134.  
  135.  
  136.                 if (Iteration > 1)
  137.                 {
  138.                     double[] elem0 = new double[4]; //значения при х(k)
  139.                     double[] elem1 = new double[4]; //значения при х(k+1)
  140.                     for (int i = 0; i < 4; i++)
  141.                         for (int j = 0; j < 4; j++)
  142.                         {
  143.                             elem0[i] += IterationA[i, j];
  144.                             elem1[i] += IterationB[i, j];
  145.                         }
  146.                     for (int i = 0; i < 4; i++)
  147.                         for (int j = 0; j < 5; j++)
  148.                         {
  149.                             Console.Write(IterationA[i, j] + "\t");
  150.                             count++;
  151.                             if (count == 4) Console.Write("=");
  152.                             if (count == 5) { Console.Write("\n"); count = 0; }
  153.                         }   //вывести на экран наш массив IterationA
  154.                     for (int i = 0; i < 4; i++)
  155.                         for (int j = 0; j < 5; j++)
  156.                         {
  157.                             Console.Write(IterationB[i, j] + "\t");
  158.                             count++;
  159.                             if (count == 4) Console.Write("=");
  160.                             if (count == 5) { Console.Write("\n"); count = 0; }
  161.                         }   //вывести на экран наш массив IterationB
  162.                     iter = -10;
  163.                     for (int i = 0; i < 4; i++)
  164.                         if (Math.Abs(elem1[i] - elem0[i]) > iter)
  165.                             iter = Math.Abs(elem1[i] - elem0[i]);
  166.                     //
  167.                     check = iter;
  168.                     Console.WriteLine("alfa = {0},\n||x(k+1)-x(k)|| = {1}", alfa, iter);
  169.                 }
  170.                 for (int i = 0; i < 4; i++)
  171.                     Console.WriteLine("x[{0}] = {1}", i + 1, x[i]);
  172.                 Console.WriteLine();
  173.             }
  174.  
  175. 	}
  176. }
Success #stdin #stdout 0.04s 24208KB
comments (?)
stdin 
Standard input is empty
stdout 
Startup matrix:
12.5	1.4	4.1	0.7	=-5	
1.2	10	1.5	4.7	=5.6	
1.1	-0.5	11.2	1.3	=10.3	
0.7	2	3.1	15	=-7	

Iteration #1
0	-0.112	-0.328	0.056	=-0.4	
-0.12	0	-0.15	0.47	=0.56	
-0.0982	0.0446	0	0.1161	=0.9196	
-0.0467	-0.1333	-0.2067	0	=-0.4667	

a=0.386666666666667
Iteration #2
0	0.009	0.0262	0.0045	=-0.032	
0.012	0	0.015	0.047	=0.056	
0.0088	-0.004	0	0.0104	=0.0821	
0.0031	0.0089	0.0138	0	=-0.0311	

Критичне місце
Гілка B
0	0.00896	0.02624	0.00448	=-0.032	
0.012	0	0.015	0.047	=0.056	
0.00876913265306123	-0.0039859693877551	0	0.0103635204081633	=0.0821109693877551	
0.00311111111111111	0.00888888888888889	0.0137777777777778	0	=-0.0311111111111111	
0	0.00896	0.02624	0.00448	=-0.032	
0.012	0	0.015	0.047	=0.056	
0.00876913265306123	-0.0039859693877551	0	0.0103635204081633	=0.0821109693877551	
0.00311111111111111	0.00888888888888889	0.0137777777777778	0	=-0.0311111111111111	
alfa = 0.386666666666667,
||x(k+1)-x(k)|| = 0
x[1] = -0.27966976
x[2] = 0.732144
x[3] = 1.06047521398148
x[4] = -0.318135308641975
https://ideone.com/XC5DSD
language:
C# (gmcs 5.20.1)
created:
9 years ago
visibility:
public

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