C-Dynamic-Matrix-Engine

A high-performance C library designed for dynamic matrix manipulations and advanced linear algebra operations. This project emphasizes manual memory management and efficient pointer arithmetic to handle complex mathematical transformations.

🛠️ Engineering Core

• Dynamic Memory Allocation: Implements nested malloc calls for row-column structuring, ensuring the program only consumes the necessary heap space for any given matrix size.
• Manual Memory Cleanup: Includes a recursive free logic to prevent memory leaks, maintaining system stability during large-scale computations.
• Advanced Algebraic Operations: Goes beyond basic arithmetic by implementing tensor-based operations like the Kronecker Product.
• Dimension Validation: Integrated safety checks for matrix multiplication compatibility (e.g., $ColsA == RowsB$).

✨ Key Features

• Arithmetic Suite: Robust implementation of Matrix Addition and Subtraction.
• Multiplication Variants:
  • Standard Product: Classic dot product implementation for linear transformations.
  • Hadamard Product: Element-wise multiplication for specific signal processing use cases.
  • Kronecker Product: Implementation of the tensor product, resulting in expanded block matrices.
• Scalar Scaling: Efficient scaling of entire data structures by a constant factor.
• Interactive CLI: A structured menu-driven interface for real-time data input and result visualization.

🧮 Supported Operations & Complexity

Operation	Complexity	Description
Addition/Subtraction	$O(N^2)$	Basic element-wise processing.
Standard Multiplication	$O(N^3)$	Iterative dot product calculation.
Hadamard Product	$O(N^2)$	Element-wise mapping.
Kronecker Product	$O(N^4)$	Block matrix expansion logic.

🚀 Getting Started

Prerequisites

• A standard C compiler (GCC, Clang, or MSVC).

Compilation

Build the engine using the following command:

gcc -o matrix_engine main.c