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Copyright (C) 2022-2025, Advanced Micro Devices, Inc.

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Vitis Solver Library provides a collection of matrix decomposition operations, linear solvers and eigenvalue solvers.

Currently this includes the following operations for dense matrix

• Matrix decomposition
  • Cholesky decomposition for symmetric positive definite matrix
  • LU decomposition without pivoting and with partial pivoting
  • QR decomposition for general matrix
  • SVD decomposition (single value decomposition) for symmetric matrix and non-symmetric matrix (Jacobi method)
• Linear solver
  • Tridiagonal linear solver (Parallel cyclic reduction method)
  • Linear solver for triangular matrix
  • Linear solver for symmetric and non-symmetric matrix
  • Matrix inverse for symmetric and non-symmetric matrix
• Eigenvalue solver
  • Jacobi eigenvalue solver for symmetric matrix

• CentOS/RHEL 7.4, 7.5 or Ubuntu 16.04.4 LTS, 18.04.1 LTS
• Vitis 2022.2
• Alveo U200, U250, U280

Vitis libraries are organized into L1, L2, and L3 folders, each relating to a different stage of application development.

L1: Makefiles and sources in L1 facilitate HLS based flow for quick checks. Tasks at this level include:

• Check the functionality of an individual kernel (C-simulation)

• Estimate resource usage, latency, etc. (Synthesis)

• Run cycle accurate simulations (Co-simulation)

• Package as IP and get final resource utilization/timing details (Export RTL)

  Note: Once RTL (or XO file after packaging IP) is generated, the Vivado flow is invoked for XCLBIN file generation if required.

L2: Makefiles and sources in L2 facilitate building XCLBIN file from various sources (HDL, HLS or XO files) of kernels with host code written in OpenCL/XRT framework targeting a device. This flow supports:

• Software emulation to check the functionality
• Hardware emulation to check RTL level simulation
• Build and test on hardware

L3: Makefiles and sources in L3 demonstrate applications developed involving multiple kernels in pipeline. These Makefiles can be used for executing tasks, as with the L2 Makefiles.

In L2/benchmarks, Kernels are built into xclbins targeting Alveo U200/U250. We achieved a good performance. For more details about the benchmarks, please kindly find them in benchmark results.

For more details of the Graph library, please refer to Vitis Solver Library Documentation.

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