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better way to set number of threads used by numpy

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## Optimizing NumPy Thread Usage: A Comprehensive Guide

NumPy, the cornerstone of numerical computing in Python, relies heavily on optimized linear algebra routines often provided by external libraries like BLAS (Basic Linear Algebra Subprograms) and LAPACK (Linear Algebra PACKage). These libraries, in turn, can leverage multi-threading to speed up operations like matrix multiplication, eigenvalue decomposition, and other computationally intensive tasks. However, simply having a multi-core processor doesn't automatically mean NumPy will utilize all available threads effectively. Understanding how NumPy interacts with these external libraries and how to control thread usage is crucial for achieving optimal performance.

This tutorial explores various aspects of NumPy's thread management, covering the underlying mechanisms, different methods for setting thread counts, their limitations, and best practices for maximizing performance across different scenarios.

**1. Understanding the Underlying Mechanism: NumPy, BLAS, and LAPACK**

At its core, NumPy doesn't directly handle threading itself. Instead, it offloads the heavy lifting to libraries like:

* **BLAS (Basic Linear Algebra Subprograms):** Provides low-level routines for common linear algebra operations like vector dot products, matrix-vector multiplication, and matrix-matrix multiplication. Common BLAS implementations include OpenBLAS, MKL (Intel Math Kernel Library), and Accelerate (on macOS).
* **LAPACK (Linear Algebra PACKage):** Built upon BLAS, it provides higher-level routines for solving linear systems, eigenvalue problems, singular value decomposition, and other more complex linear algebra tasks.

These BLAS and LAPACK implementations are often multi-threaded, allowing them to distribute the computation across multiple cores, significantly speeding up operations. NumPy links to one of these libraries during its installation. The specific BLAS/LAPACK implementation used can be determined using `np.s ...

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