sloisel/numeric
Numeric
This library is a JavaScript-based numerical analysis tool designed to perform complex mathematical operations directly within web browser environments. It provides a comprehensive suite of algorithms for linear algebra, matrix manipulation, and equation solving, enabling data-intensive computations to occur locally without requiring server-side processing.
The project distinguishes itself by offering a specialized computational engine that handles advanced mathematical tasks such as gradient-based function optimization and iterative numerical approximation. By utilizing quadrature-based integration and modular functional decomposition, it allows for the precise calculation of definite integrals and the solving of non-linear systems.
Beyond its core linear algebra capabilities, the library supports a broad range of numerical analysis functions, including matrix inversions, determinants, and vector transformations. These tools are structured to facilitate the development of scientific and data-driven applications that require reliable, high-speed mathematical processing.
Features
- Numerical Libraries - Provides a collection of mathematical functions for performing linear algebra, matrix manipulation, and equation solving in the browser.
- Linear Algebra Routines - Computes matrix inversions, determinants, and decompositions to solve systems of linear equations and perform vector transformations.
- Browser-Side Mathematical Engines - Executes heavy mathematical workloads directly within the browser to avoid server-side latency.
- Gradient Descent Algorithms - Adjusts function parameters iteratively by following the slope of the mathematical landscape to locate optimal minimum or maximum values.
- Iterative Refinement Methods - Refines mathematical solutions through successive cycles of calculation to converge on accurate results for non-linear equations.
- Numerical Function Optimization - Identifies minimum or maximum values of mathematical functions by applying gradient-based or heuristic search algorithms.
- Numerical Integration Engines - Provides a suite of quadrature techniques for calculating definite integrals and solving differential equations through numerical approximation.
- Numerical Integration Methods - Calculates definite integrals and solves differential equations through numerical approximation techniques.
- Numerical Analysis Toolkits - Performs complex mathematical operations including matrix manipulation and equation solving directly within the browser.
- Numerical Integration Routines - Calculates definite integrals of functions using various quadrature techniques to determine areas under curves.
- Mathematical Libraries - Provides a collection of gradient-based and heuristic search algorithms for finding the minimum or maximum values of mathematical functions.
- Numerical Problem Solving - Finds roots of functions and solves systems of non-linear equations using iterative numerical methods.
- Numerical Quadrature - Approximates the area under mathematical curves by summing weighted function values at discrete intervals to solve definite integrals.
- Typed Array Matrix Containers - Provides memory-efficient matrix storage using flat typed arrays for high-speed numerical access.
- Objective Decompositions - Breaks down complex mathematical problems into modular, reusable sub-routines for independent linear algebra and calculus operations.
Star history
How this analysis was created: This summary and feature list are AI-generated from collected project material and can contain mistakes. Stars, license and language are imported from GitHub. Inclusion does not mean that we have tested or audited this project. Check the source documentation for any feature you depend on. Learn more on our About page.
