Year: 2025
Type: article
Abstract: This paper presents an efficient iterative algorithm for performing counterclockwise rotations on a 2-element real number vector, minimizing the number of real number multiplications required. By leveraging intermediate results from previous rotations, the algorithm achieves each subsequent rotation with only two real number multiplications. We analyze the mathematical foundation of the rotation process, detail the iterative update mechanism, and evaluate the computational efficiency of the approach. The algorithm’s simplicity and reduced computational cost make it suitable for applications requiring repeated vector rotations, such as computer graphics, signal processing, and robotics. We also discuss potential extensions and limitations of the method.
Authors: Dong Jinming, Wang Yang
Institutions: Xidian University, Beihang University
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412782386