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QR decomposition
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#include <stdio.h> | |
#include <math.h> | |
#include <stdlib.h> | |
#include <string.h> | |
#include <time.h> | |
int main(int argc, char *argv[]) { | |
int k, i, j; | |
int m, n; | |
double **r, **q, **a, mysum; | |
n = 3000; | |
m = 3000; | |
a = malloc(sizeof(double *) * m); | |
q = malloc(sizeof(double *) * m); | |
r = malloc(sizeof(double *) * n); | |
for (i = 0; i < m; i++) { | |
a[i] = malloc(sizeof(double) * n); | |
q[i] = malloc(sizeof(double) * n); | |
for (j = 0; j < n; j++) | |
a[i][j] = i*j + 500; | |
} | |
for (i = 0; i < n; i++) { | |
r[i] = malloc(sizeof(double) * n); | |
} | |
for (k = 0; k < n; k++){ | |
r[k][k] = 0; | |
mysum = 0; | |
for (i = 0; i < m; i++) | |
mysum += a[i][k] * a[i][k]; | |
r[k][k] = mysum; | |
r[k][k] = sqrt(r[k][k]); | |
for (i = 0; i < m; i++) | |
q[i][k] = a[i][k] / r[k][k]; | |
for(j = k + 1; j < n; j++) { | |
mysum = 0; | |
for(i = 0; i < m; i++) | |
mysum += q[i][k] * a[i][j]; | |
r[k][j] = mysum; | |
for (i = 0; i < m; i++) | |
a[i][j] = a[i][j] - r[k][j] * q[i][k]; | |
} | |
} | |
for (i = 0; i < m; i++) { | |
free(a[i]); | |
free(q[i]); | |
} | |
for (i = 0; i < n; i++) { | |
free(r[i]); | |
} | |
free(a); | |
free(q); | |
free(r); | |
return 0; | |
} |
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