Nalgebra

Nalgebra is a general-purpose linear algebra library for the Rust programming language. It provides a broad set of primitives for vectors, matrices, and related algebraic structures, optimized for both small fixed-size arrays and large dynamic-size arrays. The library emphasizes type safety and performance, offering compile-time dimension information through generic parameters so many errors can be caught before runtime.

Key features include a rich set of matrix and vector types, such as MatrixMN and VectorN, along with related constructs for graphics and geometry like points, quaternions, isometries, and transforms. Nalgebra supports common linear algebra operations such as addition, multiplication, inversion, and a range of solver and decomposition algorithms.

For numerical methods, nalgebra provides decompositions and solvers including LU, QR, Cholesky, eigenvalue decompositions (Eig and SymmetricEigen), and singular value decomposition, enabling robust linear systems solutions and spectral analysis. Its design accommodates both dimensional correctness at compile time and dynamic sizing when needed, making it suitable for applications in computer graphics, robotics, physics simulations, and scientific computing.

Performance and portability are core concerns: nalgebra is written in Rust with attention to efficiency and, where available, uses SIMD optimizations. It offers no_std compatibility for embedded contexts and supports optional features to enable heap allocation when needed, through the alloc or std ecosystems.

Distribution and licensing: nalgebra is distributed as the nalgebra crate on crates.io and is widely used in Rust projects. It is dual-licensed under MIT and Apache-2.0, reflecting common open-source licensing in the Rust ecosystem.