🌟 Array Base Banded Utilities

Welcome to the Array Base Banded repository! This project provides a set of utilities for working with banded arrays in JavaScript. Banded arrays are a compact way to store matrices, especially when most of the elements are zero or when only a few diagonals are of interest. Our utilities simplify the manipulation and storage of these structures, making it easier for developers to work with matrices efficiently.

🚀 Quick Start

To get started, you can download the latest release from our Releases section. Make sure to follow the instructions provided in the release notes to execute the necessary files.

📦 Installation

You can install the package via npm. Run the following command in your terminal:

npm install array-base-banded

After installation, you can import the utilities into your project:

const bandedArray = require('array-base-banded');

🛠️ Features

• Compact Storage: Efficiently store banded matrices, saving memory.
• Utilities: A range of functions to manipulate and interact with banded arrays.
• Node.js Support: Fully compatible with Node.js environments.

📖 Documentation

Banded Array Creation

You can create a banded array using the following function:

const array = bandedArray.createBandedArray(rows, cols, bands);

• rows: Number of rows in the matrix.
• cols: Number of columns in the matrix.
• bands: An array defining the bands to be included.

Accessing Elements

To access an element in the banded array, use:

const value = bandedArray.getElement(array, rowIndex, colIndex);

Setting Elements

To set an element in the banded array, use:

bandedArray.setElement(array, rowIndex, colIndex, value);

Example Usage

Here’s a simple example demonstrating how to create and manipulate a banded array:

const bandedArray = require('array-base-banded');

// Create a 5x5 banded array with 3 bands
const myArray = bandedArray.createBandedArray(5, 5, [0, 1, -1]);

// Set an element
bandedArray.setElement(myArray, 2, 3, 10);

// Get an element
const value = bandedArray.getElement(myArray, 2, 3);
console.log(value); // Output: 10

🌐 Topics

This repository covers a variety of topics related to banded arrays:

• Array: Fundamental data structure.
• Banded: Specific type of matrix representation.
• Compact: Efficient storage methods.
• JavaScript: Primary programming language used.
• Matrix: Mathematical structure represented by the utilities.
• Namespace: Organizing code for better structure.
• Nested: Handling multi-dimensional arrays.
• Node.js: Server-side JavaScript environment.
• Standard Library: Utilizing built-in functions.
• Storage: Efficient data handling.
• Utilities: Helper functions for ease of use.

📈 Performance

Our banded array utilities are designed for performance. By focusing on memory efficiency and speed, you can handle large datasets without compromising on performance. The utilities use optimized algorithms to ensure that operations on banded arrays are fast and effective.

📚 Contributing

We welcome contributions! If you would like to contribute to the project, please follow these steps:

1. Fork the repository.
2. Create a new branch for your feature or bug fix.
3. Make your changes and commit them.
4. Push your changes to your forked repository.
5. Submit a pull request.

🐛 Issues

If you encounter any issues, please check the Issues section. You can report bugs or request features there. Your feedback is valuable and helps improve the project.

🔗 Links

For more information, visit our Releases section to see the latest updates and download the latest version.

🖼️ Visuals

Banded Array Visualization

This image illustrates how banded arrays store data efficiently. Notice how only the non-zero elements are stored, reducing memory usage.

📊 Examples

Use Case: Sparse Matrices

Banded arrays are particularly useful in scenarios involving sparse matrices. In many scientific computations, matrices are mostly filled with zeros. Banded arrays allow you to focus only on the significant elements, leading to better performance and reduced memory footprint.

Use Case: Linear Algebra

In linear algebra, banded matrices often arise in systems of equations. Our utilities help solve these systems more efficiently by leveraging the structure of the banded arrays.

🔄 Updates

Stay updated with the latest features and improvements by checking the Releases section. Regular updates will ensure you have the best performance and features available.

🤝 Acknowledgments

We would like to thank the open-source community for their contributions and support. Your input helps us create better tools for everyone.

📞 Contact

For inquiries, please reach out through the GitHub repository or open an issue in the Issues section.

Thank you for visiting the Array Base Banded repository! We hope you find these utilities useful in your projects. Happy coding!