Decompositions

rustebra factors matrices via LU (Gaussian elimination with partial pivoting), QR (orthogonal-triangular factorization), Cholesky (for symmetric positive-definite matrices), and SVD (singular value decomposition). Each is available both as a low-level function in rustebra::algorithm::matrix operating on Storage, and as an ergonomic method on StaticMatrix/DynamicMatrix. This section covers LU, QR, and SVD in detail.