The Newton Schulz method is well-known, and the proof of convergence is widely available on the internet. Yet the derivation of the method itself is more obscure. Here it is: We seek the zero of \( f: \mathbb{R}^2 \rightarrow \mathbb{R}^2\), defined as follows:

## The Newton Schulz iteration for matrix inversion

## The Newton Schulz iteration for matrix…

## The Newton Schulz iteration for matrix inversion

The Newton Schulz method is well-known, and the proof of convergence is widely available on the internet. Yet the derivation of the method itself is more obscure. Here it is: We seek the zero of \( f: \mathbb{R}^2 \rightarrow \mathbb{R}^2\), defined as follows: