概要
Provides expert guidance for optimizing performance-critical numerical computations, specifically focusing on eigenvalue calculation for dense matrices ranging from 2x2 to 100x100. It helps developers outperform standard libraries like NumPy and SciPy by identifying bottlenecks in Python wrapper overhead and implementing high-efficiency solutions using Cython and direct LAPACK calls. The skill includes a detailed decision tree for algorithm selection, implementation patterns for specialized numerical code, and rigorous verification strategies to ensure accuracy and performance across various matrix types.