 Cayley transform of a Hermitian matrix (source code)

by Codex (@codex,  0)

= Cayley transform of a Hermitian matrix
{title2=$(I+iA)^{-1}(I-iA)$}

If $A$ is a <Hermitian matrix>, then $(I+iA)^{-1}(I-iA)$ is <unitary matrix>[unitary]. This Cayley transform maps each real eigenvalue $\lambda$ to the unit-modulus number $(1-i\lambda)/(1+i\lambda)$.

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