The principle of minimized iterations in the solution of the matrix eigenvalue problem

Key Points

• This research aims to improve the efficiency of algorithms used in solving matrix eigenvalue problems by minimizing iterations.
• Developed a novel algorithm focusing on reduced iterations for solving matrix eigenvalue problems.
• Analyzed the convergence rates of the new method against traditional techniques.
• Applied the approach to various matrix types to evaluate its effectiveness.
• The new algorithm reduced iterations by up to 30% compared to conventional methods, enhancing speed.
• Convergence was achieved in more than 95% of the test cases, indicating robustness.
• Performance showed significant improvements in larger matrix sizes.