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| """ | ||||
| ``numpy.linalg`` | ||||
| ================ | ||||
|  | ||||
| The NumPy linear algebra functions rely on BLAS and LAPACK to provide efficient | ||||
| low level implementations of standard linear algebra algorithms. Those | ||||
| libraries may be provided by NumPy itself using C versions of a subset of their | ||||
| reference implementations but, when possible, highly optimized libraries that | ||||
| take advantage of specialized processor functionality are preferred. Examples | ||||
| of such libraries are OpenBLAS, MKL (TM), and ATLAS. Because those libraries | ||||
| are multithreaded and processor dependent, environmental variables and external | ||||
| packages such as threadpoolctl may be needed to control the number of threads | ||||
| or specify the processor architecture. | ||||
|  | ||||
| - OpenBLAS: https://www.openblas.net/ | ||||
| - threadpoolctl: https://github.com/joblib/threadpoolctl | ||||
|  | ||||
| Please note that the most-used linear algebra functions in NumPy are present in | ||||
| the main ``numpy`` namespace rather than in ``numpy.linalg``.  There are: | ||||
| ``dot``, ``vdot``, ``inner``, ``outer``, ``matmul``, ``tensordot``, ``einsum``, | ||||
| ``einsum_path`` and ``kron``. | ||||
|  | ||||
| Functions present in numpy.linalg are listed below. | ||||
|  | ||||
|  | ||||
| Matrix and vector products | ||||
| -------------------------- | ||||
|  | ||||
|    multi_dot | ||||
|    matrix_power | ||||
|  | ||||
| Decompositions | ||||
| -------------- | ||||
|  | ||||
|    cholesky | ||||
|    qr | ||||
|    svd | ||||
|  | ||||
| Matrix eigenvalues | ||||
| ------------------ | ||||
|  | ||||
|    eig | ||||
|    eigh | ||||
|    eigvals | ||||
|    eigvalsh | ||||
|  | ||||
| Norms and other numbers | ||||
| ----------------------- | ||||
|  | ||||
|    norm | ||||
|    cond | ||||
|    det | ||||
|    matrix_rank | ||||
|    slogdet | ||||
|  | ||||
| Solving equations and inverting matrices | ||||
| ---------------------------------------- | ||||
|  | ||||
|    solve | ||||
|    tensorsolve | ||||
|    lstsq | ||||
|    inv | ||||
|    pinv | ||||
|    tensorinv | ||||
|  | ||||
| Exceptions | ||||
| ---------- | ||||
|  | ||||
|    LinAlgError | ||||
|  | ||||
| """ | ||||
| # To get sub-modules | ||||
| from . import linalg | ||||
| from .linalg import * | ||||
|  | ||||
| __all__ = linalg.__all__.copy() | ||||
|  | ||||
| from numpy._pytesttester import PytestTester | ||||
| test = PytestTester(__name__) | ||||
| del PytestTester | ||||
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