Citadel Quantitative Researcher Interview Question
One key topic frequently encountered in quantitative researcher interviews is efficient matrix multiplication, especially when handling very large matrices. Efficient matrix operations are foundational in quantitative modeling, algorithmic trading, and risk management. This guide provides a comprehensive, step-by-step exploration of how to compute the product of two very large matrices efficiently by leveraging the structure of the problem and the matrices. We discuss algorithms, mathematical insights, and coding strategies, all crucial for mastering this classic Citadel quantitative researcher interview question.
Matrix multiplication forms the backbone of countless quantitative research algorithms, from portfolio optimization to machine learning and signal processing. At its core, given two matrices \( A \) and \( B \), the goal is to compute their product \( C = AB \).
For two matrices \( A \) of size \( m \times n \) and \( B \) of size \( n \times p \), the product \( C \) is an \( m \times p \) matrix, with entries defined as:
