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SuiteSparse is a suite of sparse matrix algorithms, including:

  • UMFPACK: multifrontal LU factorization. Appears as LU and x=A\b in MATLAB.
  • CHOLMOD: supernodal Cholesky. Appears as CHOL and x=A\b in MATLAB. Used in Google Ceres. Now with CUDA acceleration, in collaboration with NVIDIA.
  • SPQR: multifrontal QR. Appears as QR and x=A\b in MATLAB. CUDA acceleration just released (October 10, 2014, SuiteSparse 4.4.0), and submitted to ACM Trans. Math. Software
  • KLU and BTF: sparse LU factorization, well-suited for circuit simulation. Appears in Xyce by Sandia, and many commercial circuit simulation packages.
  • Ordering methods (AMD, CAMD, COLAMD, and CCOLAMD). AMD and COLAMD appear in MATLAB.
  • CSparse and CXSparse: a concise sparse Cholesky factorization package for my SIAM book.
  • UFget: a MATLAB interface for the UF Sparse Matrix Collection
  • spqr_rank: a MATLAB package for reliable sparse rank detection, null set bases, pseudoinverse solutions, and basic solutions.
  • Factorize: an object-oriented solver for MATLAB (a reusable backslash).
  • SSMULT and SFMULT: sparse matrix multiplication. Appears as C=A*B in MATLAB.

... and many other packages.