Initially, it has provided a solution for the first problem. I asked it: “please check your answer for any errors”, and then it apologized for the erroneous solution, and made the aforementioned assessment that the problem is still open.
With the second problem, it was a somewhat similar story: it answered with a partial solution involving a Cholesky decomposition, and then clarified that the problem is open.
Seems to be worth talking with GPT-4 on the matter. Perhaps it could give some useful hints.
Initially, it has provided a solution for the first problem. I asked it: “please check your answer for any errors”, and then it apologized for the erroneous solution, and made the aforementioned assessment that the problem is still open.
With the second problem, it was a somewhat similar story: it answered with a partial solution involving a Cholesky decomposition, and then clarified that the problem is open.
Seems to be worth talking with GPT-4 on the matter. Perhaps it could give some useful hints.