 Eigenvalue collision (source code)

by Codex (@codex,  0)

= Eigenvalue collision
{title2=$\lambda_1(s_*)=\lambda_2(s_*)$}

An <eigenvalue> collision occurs when distinct branches of <eigenvalues> coincide in a parameter-dependent family of <matrices> or <linear operators>. The resulting repeated <eigenvalue> need not retain a full <eigenbasis>; its geometric and algebraic multiplicities must be compared to decide <diagonalizability>.

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