The Utilities.cu and Utilities.cuh files are mantained at
https://github.com/OrangeOwlSolutions/CUDA_Utilities
and omitted here.
- Null space calculation by the SVD;
- Calculation of the full SVD of a matrix;
- Calculation of the full QR decomposition of a matrix and inversion of a linear system by the QR decomposition approach (see QR decomposition to solve linear systems in CUDA);
- Calculation of the LU decomposition of a matrix (see LU Decomposition in CUDA);
- Use of LU decomposition to invert linear systems (see Solving linear systems AX = B with CUDA);
- Calculation of the determinant of a matrix using Cholesky decomposition and Thrust strided reduction (see Determinant calculation with CUDA);
- Solve general sparse linear system using cuSOLVER (see Solving general sparse linear systems in CUDA);
- Solve tridiagonal linear systems in CUDA using cuSPARSE (see Solving tridiagonal linear systems in CUDA);
- Solve sparse linear systems by LU factorization (see Solving sparse linear systems in CUDA using LU factorization);
- Solve sparse linear systems by LU factorization and graph coloring (see Improving the solution of sparse linear systems);
- Solve sparse positive definite linear systems by Cholesky factorization (see Solving sparse definite positive linear systems in CUDA);