Computing the matrix square root: A problem-solving approach using mathematica and Pólya's strategies

Articles in Press

Document Type : Original Article

Author

Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

Abstract

This paper introduces a novel method for solving the matrix equation X2−A=0 by computing matrix square roots. Inspired by George Pólya's structured problem-solving strategies and leveraging Wolfram Mathematica, the approach offers a systematic, efficient, and clear solution to the problem. The method extends the computation of matrix square roots to large matrices and those with complex eigenvalues, significantly broadening its applicability in diverse fields, including control theory, quantum physics, and signal processing.



The approach is demonstrated through comprehensive examples and original Mathematica code, providing a practical toolkit for solving similar mathematical challenges. The method is designed to be both intuitive and versatile, making it a valuable resource for educators, students, and researchers engaged in advanced mathematical problem-solving.

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AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 25 February 2025

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