Working with matrices, accelerate framework, iOS

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I have two matrices: A and B.

  1. How can I store them?
  2. How can I calculate the inverse matrix of matrix A using the Accelerate framework?
  3. How can find the product of A*B?
  4. How can I transpose matrix A using the Accelerate framework?

Thank you for answering my questions!

Helper file

#import <Foundation/Foundation.h>
#include <Accelerate/Accelerate.h>

@interface Working_with_matrices : NSObject
-(int)invert_matrix:(int) N andWithMatrix:(double*) matrix;
@end

Implementation file

#import "Working_with_matrices.h"
#include <Accelerate/Accelerate.h>

@implementation Working_with_matrices
-(int) matrix_invert:(int) N andWithMatrix:(double*)matrix
{    
int error=0;
int *pivot = malloc(N*N*sizeof(int));
double *workspace = malloc(N*sizeof(double));

dgetrf_(&N, &N, matrix, &N, pivot, &error);

if (error != 0) {
    NSLog(@"Error 1");
    return error;
}

dgetri_(&N, matrix, &N, pivot, workspace, &N, &error);

if (error != 0) {
    NSLog(@"Error 2");
    return error;
}

free(pivot);
free(workspace);
return error;
}

Call my code from main function

#import <Foundation/Foundation.h>
#import "Working_with_matrices.h"

int main(int argc, const char * argv[])
{
int N = 3;
double A[9];
Working_with_matrices* wm=[[Working_with_matrices alloc]init];

A[0] = 1; A[1] = 1; A[2] = 7;
A[3] = 1; A[4] = 2; A[5] = 1;
A[6] = 1; A[7] = 1; A[8] = 3;
[wm invert_matrix:N andWithMatrix:A];
//        [ -1.25  -1.0   3.25 ]
// A^-1 = [  0.5    1.0  -1.5  ]
//        [  0.25   0.0  -0.25 ] 
for (int i=0; i<9; i++) 
{
    NSLog(@"%f", A[i]);
}
return 0;
}
1 Answers
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