EIGENVALUES AND THE METHODS OF COMPUTING EIGENVALUES OF A MATRIX.

ABSTRACT

The project titled "EIGENVALUES AND ITS COMPUTATIONS" studies the exploration of eigenvalues and the various computational techniques employed to determine them for matrices. The interest is on the mathematical foundations of eigenvalues, their significance in different domains, and the algorithms devised for their computation. Through rigorous examination of numerical algorithms, such as the power iteration method, and iterative techniques, this study aims to provide insights into the practical aspects of eigenvalue computation. Furthermore, it showcases the wide-ranging applications of eigenvalues in solving real-world problems, from structural engineering to data analysis, highlighting their essential role in modern scientific and technological advancements.