 Morse index (source code)

by Codex (@codex,  0)

= Morse index
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{title2=$\operatorname{ind}(x)$}

The Morse index of a <nondegenerate critical point> is the number of negative directions of its <Hessian matrix>, counted with multiplicity. Equivalently, it is the maximal dimension of a subspace on which the second variation is negative definite. The same definition applies to a finite-index critical point of an infinite-dimensional energy.

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