Another user claimed he/she could show the same iteration is well-defined if $A$ is 2-by-2 SPD. How can I show that this iteration method is well-defined for a SPD $A$ of any size? More specifically, how can we show (1) every $A_k$ in this iteration is SPD and (2) every $A_k$ can be uniquely determined by this iteration? Thanks in advance.
2026-03-25 16:13:25.1774455205
Why is the Cholesky power iteration valid?
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