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Eigenvalue Algorithm Comparison: Matrix size: 50×50 Tridiagonal: 0.0009 s (50 eigenvalues) Dense symmetric: 0.0005 s (50 eigenvalues) Sparse: 0.0116 s (10 eigenvalues) Eigenvalue Statistics: Tridiagonal: lambda in [0.004, 3.996] Symmetric: lambda in [-9.150, 9.394] Sparse: lambda in [-3.353, 5.641] Matrix Functions: Matrix exponential computed via eigendecomposition Matrix square root verification error: 1.79e-14