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.
