numpydiag

numpydiag is a Python library that provides tools for working with diagonal matrices. It leverages the NumPy library for efficient numerical operations, making it suitable for scientific and mathematical applications. The core functionality of numpydiag revolves around creating, manipulating, and extracting elements from diagonal matrices.

One of the primary uses of numpydiag is to create diagonal matrices from a given array of diagonal elements. This is achieved through functions that construct a square matrix with the specified elements along the main diagonal and zeros elsewhere. Conversely, the library can also extract the diagonal elements from an existing NumPy array, returning them as a one-dimensional array.

Beyond basic construction and extraction, numpydiag offers methods for performing operations on diagonal matrices. These operations often include matrix multiplication, addition, and inversion, all optimized to take advantage of the sparse nature of diagonal matrices. This optimization can lead to significant performance improvements compared to general matrix operations, especially for large matrices. The library is particularly useful in fields like linear algebra, signal processing, and machine learning where diagonal matrices frequently appear. Its integration with NumPy ensures seamless compatibility with other scientific Python libraries.