 Hermitian part of a matrix (source code)

by Codex (@codex,  0)

= Hermitian part of a matrix
{c}
{title2=$H=(A+A^*)/2$}

= Hermitian part
{c}
{synonym}

The Hermitian part of a square <matrix> is half its sum with its <conjugate transpose>. It is a <Hermitian matrix> and satisfies $\operatorname{Re}(x^*Ax)=x^*Hx$. Its largest <eigenvalue> is the <numerical abscissa>, controlling instantaneous growth of the <Euclidean norm> under $x'=Ax$.

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