Allx: A High-Performance C++ Library for Linear Algebra

Allx is a C++ library for linear algebra, optimized for performance and ease of use. It provides a set of classes and functions for performing various linear algebra operations, such as matrix multiplication, eigenvalue decomposition, and singular value decomposition.

Allx is designed to be fast and efficient, with a focus on performance in mind. It uses a variety of techniques, such as cache optimization and vectorization, to minimize the time required for computations. Additionally, Allx provides a number of features that make it easy to use, including a simple and intuitive API, automatic memory management, and support for both dense and sparse matrices.

Some of the key features of Allx include:

* Matrix multiplication: Allx provides a fast and efficient implementation of matrix multiplication, with support for both dense and sparse matrices.
* Eigenvalue decomposition: Allx includes a class for computing the eigenvalue decomposition of a matrix, which can be useful for a wide range of applications, such as linear regression, principal component analysis, and image compression.
* Singular value decomposition: Allx provides a class for computing the singular value decomposition of a matrix, which can be useful for applications such as image compression, feature extraction, and data compression.
* Matrix inversion: Allx includes a function for computing the inverse of a matrix, which can be useful for solving systems of linear equations, finding the Moore-Penrose inverse of a matrix, and performing other linear algebra operations.
* Determinant calculation: Allx provides a function for calculating the determinant of a matrix, which can be useful for a wide range of applications, such as linear regression, principal component analysis, and image compression.

Overall, Allx is a powerful and flexible library that can be used for a wide range of linear algebra tasks. Its focus on performance and ease of use make it a valuable tool for anyone working with linear algebra in C++.