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| | leimao.github.io

Geometry of $n \times n$ Matrices with Complex Eigenvalues
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| | leimao.github.io

Geometry of $2 \times 2$ Matrices with a Non-Real Complex Eigenvalue
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| | nhigham.com

The spectral radius $latex \rho(A)$ of a square matrix $latex A\in\mathbb{C}^{n\times n}$ is the largest absolute value of any eigenvalue of $LATEX A$: $latex \notag \rho(A) = \max\{\, |\lambda|: \lambda~ \mbox{is an eigenvalue of}~ A\,\}. $ For Hermitian matrices (or more generally normal matrices, those satisfying $LATEX AA^* = A^*A$) the spectral radius is just...
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| | leanprover-community.github.io

[AI summary] A technical documentation entry for the Lean mathematical library detailing definitions and operations for semimodules, modules, matrices, linear maps, and bilinear forms
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