The <unshifted QR algorithm> computes the <eigenvalues> of $A$. For a real symmetric <matrix> it drives $A_k$ toward a diagonal or block-diagonal <matrix>; the accumulated orthogonal factors simultaneously approximate its <eigenvectors>.

Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 40A / b / i / Solution

 Solution (source code)