 #include <iostream>
#include <cstdlib>
#include <math.h>
#include <stdio.h>
#include <cmath>
using namespace std;
 
void jacobi();
int main()
{
    jacobi();
return 0;
}
 void jacobi(){
    cout << "\nMetodo de Jacobi\n\n";
    int n, x, y,a,i,w;
    float error=.1;
    float z;
    i=1;
    cout<<"Ingrese la cantida de variables a encontrar (cantidad de ecuaciones)" << endl;   cin>> n;
     float A[n][n];
    float B[n];
    float sig[n];
    float ant[n];
    float auxa[n];
    float auxb=0;
 
        for (x = 0; x < n; x++){ // CREA 0 en aux
            auxa[x]=0;
            sig[x]=0;
        }
     for (x = 0; x < n; x++){ //llena matriz A
            cout<< "Ingrese los elementos del renglon " << x+1 <<" de la matriz de coeficientes"<<endl;
        for(y = 0; y < n; y++){          cin>> A[x][y];
        }
    }
        cout<<"Ingrese la matriz de resultados: "<<endl;
    for (x = 0; x < n; x++){ // llena matriz B de resultados         cin>>B[x];
    }
    cout<<"Ingrese cantidad maxima de iteraciones"<<endl;   cin>>w;
    cout<<"Ingrese el error de convergencia"<<endl;     cin>>error;
        cout<<"MATRIZ INGRESADA"<<endl;
    for (x = 0; x < n; x++){ //MUESTRA LA MATRIZ INGRESADA
        for(y = 0; y < n; y++){
            cout<<A[x][y]<<"\t";
        }
        cout<<"| "<<B[x]<<endl;
        }
    for (x = 0; x < n; x++){ //QUITA 0 DE LA DIAGONAL CAMBIANDO RENGLONES
        if (A[x][x] == 0){
            for (y = x; y < n ; y++){
                if (A[y][x] == 0){
                }
                else {
                    for (a = 0; a < n; a++){
                    auxa[a]=A[y][a];
                    A[y][a]=A[x][a];
                    A[x][a]=auxa[a];
                }
                auxb=B[y];
                B[y]=B[x];
                B[x]=auxb;
                }
            }
         }
    }
    for(x = 0; x<n ; x++){
        z=A[x][x];
        for(y = 0; y<n ; y++){
        A[x][y]=(A[x][y])/(-z);
        }
        A[x][x]=0;
        B[x]=B[x] / z;
        ant[x]=B[x];
    }
    for(a = 0; a<n ; a++){
        for (y = 0; y<n ; y++){
        sig[a]=sig[a]+(ant[y]*A[a][y]);
        }
        sig[a]=sig[a]+B[a];
        }
    for (x = 0; x<n ; x++){      while (abs(sig[x]-ant[x]) > error && w > i){ //Hace los pasos hasta que el error sea menor a error
            for (y = 0; y<n ;y++){
                ant[y]=sig[y];
            }
        for(a = 0; a<n ; a++){
                sig[a]=0;
                for (y = 0; y<n ; y++){              sig[a]=sig[a]+(ant[y]*A[a][y]);             }           sig[a]=sig[a]+B[a];         }       i++;        }   }   if(i > w ){
        cout<<"El error no converge a "<<error<<" en "<<w<<" iteraciones"<<endl;
    }
    else{
        cout<<endl<<" Se llego a los resultados en "<<i+1<<" iteraciones\n\n";
        cout<<" Con un error de "<<error<<endl;
        cout<<" Los valores de las variables son: \n\n";
        for(x = 0; x<n ; x++){
            cout<<"X"<<x<<" = "<<sig[x]<</*"  Converge a = "<<round(sig[x])<<*/endl;
        }
    }
}

created 3 years ago

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    scanf("%s", name);
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    return 0;
    
}

About C

C language is one of the most popular general-purpose programming language developed by Dennis Ritchie at Bell laboratories for UNIX operating system. The initial release of C Language was in the year 1972. Most of the desktop operating systems are written in C Language.

Key features:

Structured Programming
Popular system programming language
UNIX, MySQL and Oracle are completely written in C.
Supports variety of platforms
Efficient and also handle low-level activities.
As fast as assembly language and hence used as system development language.

Syntax help

Loops

1. If-Else:

When ever you want to perform a set of operations based on a condition if-else is used.

if(conditional-expression) {
   // code
} else {
   // code
}

You can also use if-else for nested Ifs and if-else-if ladder when multiple conditions are to be performed on a single variable.

2. Switch:

Switch is an alternative to if-else-if ladder.

switch(conditional-expression) {    
case value1:    
 // code    
 break;  // optional  
case value2:    
 // code    
 break;  // optional  
...    
    
default:     
 // code to be executed when all the above cases are not matched;    
}

3. For:

For loop is used to iterate a set of statements based on a condition.

for(Initialization; Condition; Increment/decrement){  
  // code  
}

4. While:

While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.

while(condition) {  
 // code 
}

5. Do-While:

Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.

do {
  // code 
} while (condition);

Arrays

Array is a collection of similar data which is stored in continuous memory addresses. Array values can be fetched using index. Index starts from 0 to size-1.

Syntax

One dimentional Array:

data-type array-name[size];

Two dimensional array:

data-type array-name[size][size];

Functions

Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity.

Two types of functions are present in C

Library Functions:

Library functions are the in-built functions which are declared in header files like printf(),scanf(),puts(),gets() etc.,

User defined functions:

User defined functions are the ones which are written by the programmer based on the requirement.

How to declare a Function

return_type function_name(parameters);

How to call a Function

function_name (parameters)

How to define a Function

return_type function_name(parameters) {  
  //code
}