ruda-solver 0.1.1

Explicit scientific solvers: real/complex/sparse host algebra and opt-in small batched device kernels
Documentation
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# Third-party notices

Ruda reuses some operators and optimization implementations from open-source projects such as CubeCL and Burn. The relevant code retains its original copyright and license notices.

Ruda 复用了 CubeCL、Burn 等开源项目的部分算子和优化实现。相关代码保留其原有版权及许可证声明。

## ruda-core/LICENSE-APACHE, ruda-ir-macros/LICENSE-APACHE

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Copyright 2022 Nathaniel Simard & CubeCl Framework Contributors

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
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## ruda-core/LICENSE-MIT, ruda-ir-macros/LICENSE-MIT

MIT License

Copyright (c) 2022 Nathaniel Simard & CubeCL Framework Contributors

Permission is hereby granted, free of charge, to any person obtaining a copy
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

## ruda-dataset/LICENSE-APACHE, ruda-tensor-tch/LICENSE-APACHE, ruda-tensor-wgpu/LICENSE-APACHE

                              Apache License
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                     http://www.apache.org/licenses/

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   (an example is provided in the Appendix below).

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   form, that is based on (or derived from) the Work and for which the
   editorial revisions, annotations, elaborations, or other modifications
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   this License, without any additional terms or conditions.
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   the terms of any separate license agreement you may have executed
   with Licensor regarding such Contributions.

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   names, trademarks, service marks, or product names of the Licensor,
   except as required for reasonable and customary use in describing the
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7. Disclaimer of Warranty. Unless required by applicable law or
   agreed to in writing, Licensor provides the Work (and each
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8. Limitation of Liability. In no event and under no legal theory,
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   incidental, or consequential damages of any character arising as a
   result of this License or out of the use or inability to use the
   Work (including but not limited to damages for loss of goodwill,
   work stoppage, computer failure or malfunction, or any and all
   other commercial damages or losses), even if such Contributor
   has been advised of the possibility of such damages.

9. Accepting Warranty or Additional Liability. While redistributing
   the Work or Derivative Works thereof, You may choose to offer,
   and charge a fee for, acceptance of support, warranty, indemnity,
   or other liability obligations and/or rights consistent with this
   License. However, in accepting such obligations, You may act only
   on Your own behalf and on Your sole responsibility, not on behalf
   of any other Contributor, and only if You agree to indemnify,
   defend, and hold each Contributor harmless for any liability
   incurred by, or claims asserted against, such Contributor by reason
   of your accepting any such warranty or additional liability.

END OF TERMS AND CONDITIONS

APPENDIX: How to apply the Apache License to your work.

   To apply the Apache License to your work, attach the following
   boilerplate notice, with the fields enclosed by brackets "[]"
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   file or class name and description of purpose be included on the
   same "printed page" as the copyright notice for easier
   identification within third-party archives.

Copyright 2022 Nathaniel Simard & Burn Framework Contributors

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

	http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.

## ruda-dataset/LICENSE-MIT, ruda-tensor-tch/LICENSE-MIT, ruda-tensor-wgpu/LICENSE-MIT

MIT License

Copyright (c) 2022 Nathaniel Simard & Burn Framework Contributors

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

## ruda-hip-sys

Source: cubecl-hip-sys 7.14.6085000, commit `99b002ee9ac7907d3c6c6eb80fd3e5c91c237976`, `crates/cubecl-hip-sys`.

MIT License

Copyright (c) 2024 Tracel Technologies Inc. and Contributors

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

- https://github.com/tracel-ai/burn/issues/2676
- https://github.com/tracel-ai/burn/issues/2739
- https://github.com/tracel-ai/burn/issues/3754
- https://github.com/tracel-ai/burn/issues/4179
- https://github.com/tracel-ai/burn/issues/4362
- https://github.com/tracel-ai/burn/issues/4762
- https://github.com/tracel-ai/burn/pull/3792#discussion_r2416812091
- https://github.com/tracel-ai/burn/tree/main/crates/burn-tch
- https://github.com/tracel-ai/cubecl-hip/tree/main/crates/cubecl-hip-sys
- https://github.com/tracel-ai/cubecl/issues/1120
- https://github.com/tracel-ai/cubecl/pull/1312
- https://github.com/tracel-ai/cubek/issues/194


## Muon integration additions (2026-09-10)

The Muon implementation in ruda-optim already exists in the supplied baseline and
retains its original RUDA/Burn-derived provenance and package license. This patch
adds explicit parameter routing, validation, numerical options and tests; it does
not relabel the existing optimizer as a newly invented algorithm. New files carry
an Apache-2.0 SPDX identifier. No upstream Python source file is bundled.

Algorithm references: Keller Jordan et al., Muon (https://github.com/KellerJordan/Muon),
and PyTorch's fixed v2.9 implementation
(https://github.com/pytorch/pytorch/blob/v2.9.0/torch/optim/_muon.py).
The learning-rate option MatchRmsAdamW refers to Moonshot's
Muon is Scalable for LLM Training (https://arxiv.org/abs/2502.16982).

The numerical oracle additionally calls the locally installed, unmodified
torch.optim.Muon. Its source hash/version are recorded in the validation results;
the installed PyTorch source is not redistributed with this patch.


## ruSOLVER / ruINTEGRATE numerical science addition (2026-09-10)

The new solver/integrator sources are independently written Rust implementations of published numerical methods, not copies of LAPACK, cuSOLVER, SciPy or GSL source. Mathematical coefficients and method references are documented in `docs/en/libraries/rusolver.md` and `ruintegrate.md`. `tools/science/oracle.py` calls NumPy/SciPy only to generate/check independent test expectations; these are not runtime dependencies of the Rust libraries. The optional `rusolver/sparse` feature borrows the existing ruSPARSE types and does not change their license. Existing tensor-level LU remains unchanged.

## Extended numerical science implementation (2026-09-10)

New `ruSOLVER` SVD, complex, sparse direct, distributed-CG, pullback and device
kernels, plus `ruINTEGRATE` stiff/events/improper-integral sources are independent
Rust implementations of standard mathematical methods. They are not copies of
LAPACK, SuperLU, SciPy, GSL or PyTorch implementation source. Existing RUDA graph,
Host backend, compiler and ruCCL integration retain their original provenance.
New sources use Apache-2.0 SPDX identifiers; existing notices are not removed.

Method/behavior references:
- LAPACK one-sided Jacobi SVD, DGESVJ: https://www.netlib.org/lapack/explore-html/d9/deb/group__gesvj.html
- LAPACK complex Householder QR, ZGEQRF: https://www.netlib.org/lapack/explore-html/d0/da1/group__geqrf.html
- SciPy initial-value ODE methods/events: https://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.solve_ivp.html
- SciPy infinite-domain quadrature: https://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.quad.html
- PyTorch linear-algebra autodiff: https://pytorch.org/blog/torch-linalg-autograd/
- PyTorch SVD differentiation restrictions: https://docs.pytorch.org/docs/stable/generated/torch.linalg.svd.html

`tools/science_extended/oracle.py` calls installed NumPy/SciPy/PyTorch as external
numerical oracles and generates small independent fixtures. These packages are
not host solver runtime dependencies and their source is not distributed here.
The FP32 recurrence model is Python arithmetic, not execution of a RUDA kernel.