Linear Algebra

2025-10-17

2 min read time

Applies to Linux

This page provides C++ class references for the publicly-exposed elements of the raft/linalg (dense) linear algebra headers. In addition to providing highly optimized arithmetic and matrix/vector operations, RAFT provides a consistent user experience by providing common BLAS routines, standard linear system solvers, factorization and eigenvalue solvers. Some of these routines hide the complexities of lower-level C-based libraries provided in the CUDA toolkit

Contents:

• Arithmetic
  • Addition
  • Binary Op
  • Division
  • Multiplication
  • Power
  • Square Root
  • Subtraction
  • Ternary Op
  • Unary Op
• BLAS Routines
  • axpy
  • dot
  • gemm
  • gemv
• Mapping and Reduction
  • Coalesced Reduction
  • Map
  • Map Reduce
  • Mean Squared Error
  • Norm
  • Normalize
  • Reduction
  • Reduce Cols By Key
  • Reduce Rows By Key
  • Strided Reduction
• Matrix Operations
  • Transpose
• Matrix-Vector Operations
  • Arithmetic
  • Operations
• Linear Algebra Solvers
  • Eigen Decomposition
  • QR Decomposition
  • Randomized Singular-Value Decomposition
  • Singular-Value Decomposition
  • Least Squares