LinAlgLib

LinAlgLib is a C++17 sparse linear algebra library focused on iterative methods, algebraic multigrid (AMG), and CPU/GPU execution backends.

Features

• Sparse matrix and vector primitives (CSR-based workflows)
• Iterative solvers
  • Classic: Jacobi, Gauss-Seidel, Symmetric Gauss-Seidel, Richardson, SOR, SSOR
  • Krylov: CG, GMRES, BiCGSTAB
• AMG components
  • Ruge-Stuben AMG
  • Smoothed Aggregation AMG
  • Unsmoothed Aggregation AMG
• Preconditioners (Jacobi, ILU/IC variants, and related methods)
• Optional CUDA backend for device execution
• Example applications and test clients
• Doxygen API documentation

Repository Layout

library/
	include/            # Public headers
	src/                # Library implementation
clients/
	examples/           # Example executables
	testing/            # Test executable and test utilities
docs/
	Doxyfile            # Doxygen configuration

Prerequisites

• CMake 3.25+
• C++17 compiler
  • MSVC (Windows)
  • GCC/Clang (Linux/macOS)
• Optional:
  • CUDA Toolkit (for device backend)
  • OpenMP
  • MPI

Notes:

• The project auto-fetches some dependencies (for example GoogleTest and yaml-cpp in testing).
• CUDA is enabled by default when available (ENABLE_CUDA=ON).

Build

Configure and build (Debug)

cd LinAlgLib
cmake -S . -B build -DCMAKE_BUILD_TYPE=Debug
cmake --build build --config Debug

Configure and build (Release)

cd LinAlgLib
cmake -S . -B build -DCMAKE_BUILD_TYPE=Release
cmake --build build --config Release

Build with CUDA disabled

cd LinAlgLib
cmake -S . -B build -DENABLE_CUDA=OFF
cmake --build build --config Release

Run Examples

Example targets are generated from files in clients/examples. Common targets include:

• jacobi_example
• gmres_example
• pcg_example
• rsamg_example
• saamg_example
• uaamg_example

Build an example target:

cmake --build build --config Release --target jacobi_example

Run (Windows example path):

build/clients/examples/Release/jacobi_example.exe

Run Tests

The test executable target is test_main under clients/testing.

Build tests:

cmake --build build --config Debug --target test_main

Run (Windows example path):

build/clients/testing/Debug/test_main.exe

Generate Documentation

cd LinAlgLib
doxygen docs/Doxyfile

Generated HTML docs are typically written to docs/html.

Formatting

Example formatting command:

clang-format.exe -i --style microsoft library/src/iterative_solvers/amg/*.cpp

Troubleshooting

• CMake configure fails:
  • Delete build/ and reconfigure from scratch.
  • Verify CMake version and compiler are available in PATH.
• CUDA expected but not enabled:
  • Confirm CUDA Toolkit is installed and visible to CMake.
  • Check configure output for CMAKE_CUDA_COMPILER detection messages.
• Host/device mismatch runtime errors:
  • Ensure all solver inputs participating in a backend dispatch are on the same backend.
• Linker errors for templated CUDA helpers:
  • Verify required explicit template instantiations exist in CUDA translation units.

License

This project is licensed under the MIT License. See LICENSE for details.