Buckets:
| """ | |
| ``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 | |
| -------------------------- | |
| cross | |
| multi_dot | |
| matrix_power | |
| tensordot | |
| matmul | |
| Decompositions | |
| -------------- | |
| cholesky | |
| outer | |
| qr | |
| svd | |
| svdvals | |
| Matrix eigenvalues | |
| ------------------ | |
| eig | |
| eigh | |
| eigvals | |
| eigvalsh | |
| Norms and other numbers | |
| ----------------------- | |
| norm | |
| matrix_norm | |
| vector_norm | |
| cond | |
| det | |
| matrix_rank | |
| slogdet | |
| trace (Array API compatible) | |
| Solving equations and inverting matrices | |
| ---------------------------------------- | |
| solve | |
| tensorsolve | |
| lstsq | |
| inv | |
| pinv | |
| tensorinv | |
| Other matrix operations | |
| ----------------------- | |
| diagonal (Array API compatible) | |
| matrix_transpose (Array API compatible) | |
| Exceptions | |
| ---------- | |
| LinAlgError | |
| """ | |
| # To get sub-modules | |
| from . import _linalg | |
| from ._linalg import * | |
| __all__ = _linalg.__all__.copy() # noqa: PLE0605 | |
| from numpy._pytesttester import PytestTester | |
| test = PytestTester(__name__) | |
| del PytestTester | |
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