doolittle

foundational in engineering, physics, computer science, and applied mathematics. Try modifying the provided code to: Handle pivoting. Work with sparse matrices. Extend to block LU decomposition for large sy

and columns: Continue until all elements of \(L\) and \(U\) are computed. This systematic process ensures that \(A\) is decomposed into the product \(LU\). Key Properties Stability: The Doolittle method is stable for well-conditioned matrices. Pivoting: For mat