I have a project written in C# where I need to do various linear algebraic operations on matrices (like LU-factorization).
Since the program is mainly a prototype created to confirm a theory, a C# implementation will suffice (compared to a possibly speedier C++ one), but I would still like a good BLAS or LAPACK library available to save me some coding.
Long story short, can anybody recommend a free/open source BLAS or LAPACK library for use with .net?
Best regards Egil.
Update: Found Math.NET Numerics today, looks interesting, anybody have any experience with that?
AMD's ACML is a free download, but it is binary only, not open source, and native code, not .NET.
Performance is generally superior to the Netlib.org code, and generally roughly the same as Intel's MKL -- which is not free IIRC.
The download includes one sample that demonstrates how to bind it to C#. Not any different from calling any other C or C++ library from C#.
Library implements BLAS, LAPACK, FFTs, and RNGs.
http://developer.amd.com/cpu/Libraries/acml/downloads/pages/default.aspx
EDIT TO RESPOND TO COMMENT:
On an Intel CPU, AMD's ACML will perform approximately as well as Intel's MKL, but it depends on the algorithm, matrix sizes, number of cores, memory topology and speed, etc. etc. etc. Your mileage may vary. The only way to tell for sure is to run your own benchmark. In some cases, ACML is faster than MKL even on Itel hardware.
Either one will be significantly faster than any "naive" implementation for large matrixes. Both are architected to use multiple threads on multicore processors, and have hand-tweaked assembly language kernels and a lot of tuning for the cache behaviours on various machines.
For small matrixes, performance is generally a don't-care, since any modern cpu can solve a small matix in just a few milliseconds, even using the simplest code. In that case, you're only using a library to avoid writing and debugging code that has been written hundreds of times already.
The math library DotNumerics is free/open source project written in C# and contains the translation of Lapack, Blas, and Eispack to C#.
The BLIS-like Library Instantiation Software (BLIS) is the current gold standard for open source BLAS libraries. https://github.com/flame/blis It is not as fast as MKL (although close) but faster than OpenBLAS, a fork of the legendary GotoBLAS, on essentially all CPUs (and much faster on the latest architectures including Intel, AMD, and ARM). It is well maintained.
ACML, mentioned in another answer, no longer exists. AMD now uses open source software as part of their ACL (AMD Compute Library) software stack. BLIS is what is part of that software stack: https://developer.amd.com/amd-cpu-libraries/blas-library/.
Caviat: poster is part of the BLIS project. The above claims are well-documented.
(Comment added later: Didn't notice the ".NET". Unfortunately BLIS is not yet supported well for Windows.)
Lutz Roeder has a good open source port Mapack.Net
Used in the past for various projects and found it eary to work with
来源：https://stackoverflow.com/questions/1437501/what-is-a-good-free-open-source-blas-lapack-library-for-net-c