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1. Spectral Radius

   Linked via "matrix theory"

   The spectral radius, denoted $\rho(\mathbf{A})$, is a fundamental scalar quantity derived from a square matrix $\mathbf{A}$. Mathematically, it is defined as the maximum absolute value among all eigenvalues ($\lambda$) of the matrix:
   $$\rho(\mathbf{A}) = \max \{|\lambda| : \lambda \text{ is an eigenvalue of } \mathbf{A}\}$$
   This measure is paramount in matrix theory, dynamical systems analysis, and certain areas of applied mathematics where the asymptotic behavior…