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Iteration method Eigenvalues
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‎Eigenvalues/Eigenvalues.cpp‎

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// Eigenvalues.cpp : Этот файл содержит функцию "main". Здесь начинается и заканчивается выполнение программы.
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//
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#include <iostream>
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#include <string>
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#define SIZEMATRIX 3
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#define EPS 0.01 //0.0001 дает более точное приближение6,895
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using namespace std;
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double* multimatrix_number(double** matrixA, double* matrix_vector);
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double* copyvector(double* vector1);
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int main()
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{
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setlocale(LC_ALL, "RU");
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double** matrixA = new double* [SIZEMATRIX];
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for (int i = 0; i < SIZEMATRIX; i++)
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matrixA[i] = new double[SIZEMATRIX] {};
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double* matrixX0 = new double[SIZEMATRIX];
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cout << " Ввод осущствеляется по принципу: \nввод коэффициентов для определенной строки через пробел , "
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"\nих количество равно количеству указанных столбцов.\n "
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"(допускается: '+' ',' '-' '[0-9]' \n";
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cout << " Ввод матрицы А" << endl;
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for (int i = 0; i < SIZEMATRIX; i++)
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{
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for (int j = 0; j < SIZEMATRIX; j++)
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cin >> matrixA[i][j];// 5 1 2 / 1 4 1/ 2 1 3
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}
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cout << " Ввод вектора (начальное приближение)" << endl;
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for (int i = 0; i < SIZEMATRIX; i++)
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{
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cin >> matrixX0[i]; //1 1 1
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}
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cout << "Output matrix" << endl;
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for (int i = 0; i < SIZEMATRIX; i++)
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{
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for (int j = 0; j < SIZEMATRIX; j++)
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{
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cout << " " << matrixA[i][j] << " ";
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}
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cout << " = " << matrixX0[i] << endl;
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}
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double* matrixX1 = new double[SIZEMATRIX] {};
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matrixX1 = multimatrix_number(matrixA, matrixX0);
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cout << " Output matrixX1 :" << endl;
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for (int i = 0; i < SIZEMATRIX; i++)
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cout << matrixX1[i] << " ";
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double* matrixL = new double[SIZEMATRIX] {};
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cout << " Output matrixL :" << endl;
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matrixL[1] = matrixX1[0] / matrixX0[0];
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cout << "лямбад0 = " << matrixL[1] << endl;
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int k = 1;
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double* matrixX2 = new double[SIZEMATRIX] {};
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do
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{
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k++;
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matrixX2 = multimatrix_number(matrixA, matrixX1);
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cout << " Output matrixX2 :" << endl;
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for (int i = 0; i < SIZEMATRIX; i++)
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cout << matrixX2[i] << " ";
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matrixL[k] = matrixX2[0] / matrixX1[0];
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cout << "лямбад" << k << " = " << matrixL[k] << endl;
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matrixX1 = copyvector(matrixX2);
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} while (abs(matrixL[k]-matrixL[k-1])>EPS);
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cout << " Lambda = " << matrixL[k] << endl;
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for (int i = 0; i < SIZEMATRIX; i++)
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delete[] matrixA[i];
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delete[] matrixA;
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delete[] matrixX0;
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delete[] matrixX2;
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//delete[] matrixL;
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}
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double* multimatrix_number(double** matrixA, double* matrix_vector)
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{
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double* resultMatrix = new double[SIZEMATRIX]{};
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double sum = 0;
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for (int i = 0; i < SIZEMATRIX; i++)
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{
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for (int j = 0; j < SIZEMATRIX; j++)
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{
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resultMatrix[i] += matrixA[i][j] * matrix_vector[j];
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}
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}
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return resultMatrix;
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}
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double* copyvector(double* vector1)
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{
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double* result_vector = new double[SIZEMATRIX] {};
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for (int i = 0; i < SIZEMATRIX; i++)
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result_vector[i] = vector1[i];
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return result_vector;
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}
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//k=2 58 38 40 l=7.25 0.75
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//k=3 408 250 274 l=7.034 0.116
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//k=4 2838 1682 1888 l=6.9559 0.078<e

‎Eigenvalues/Eigenvalues.sln‎

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EndProject
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Global
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Debug|x64 = Debug|x64
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Release|x64 = Release|x64
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EndGlobalSection
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EndGlobal

‎Eigenvalues/Eigenvalues.vcxproj‎

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‎Eigenvalues/Eigenvalues.vcxproj.filters‎

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