Such conversion is not allowed, because if the conversion would be possible, you could modify the const object in a following way:
#include <stdio.h>
const double A0 = 0;
const double A1 = 1;
const double* A[2] = { &A0, &A1 };
double * B[2];
int main()
{
double** b = B;
const double ** a = b; // illegal
//const double ** a = (const double **)b; // you can simulate it would be legal
a[0] = A[0];
b[0][0] = 2; // modified A0
printf("%f",A[0][0]);
}
For a simulated result, check the code at IdeOne.com - you will get SIGSEGV (const object was placed in read only memory and you are trying to modify it). With a different platform the object might be modified silently.