Shahid Beheshti University | Iran
Dr. Raziyeh Erfanifar is a researcher in applied mathematics and computational engineering whose work centers on high-order iterative methods, nonlinear equations, matrix and tensor computations, and their applications in control theory, signal processing, image processing, data mining, and fractional calculus. The research contributions emphasize the development of efficient, inversion-free, and high-convergence iterative algorithms for solving nonlinear systems, algebraic Riccati equations, nonlinear matrix and tensor equations, and computing Moore–Penrose and Drazin inverses. A significant portion of the work advances fixed-point theory, weight-splitting strategies, Newton-type schemes, and parametric multi-step methods, with rigorous convergence analysis and efficiency evaluation. These methods have been successfully applied to problems in electrical engineering, vibration and control systems, differential equations, tensor equations with Einstein products, data whitening, and numerical simulation. The scholarly output includes 36 peer-reviewed journal articles published in leading journals such as Journal of the Franklin Institute, Journal of Complexity, Computational and Applied Mathematics, Circuits, Systems, and Signal Processing, Applied Numerical Mathematics, and Engineering Computations. According to Google Scholar metrics, this body of work has received 274 citations, with an h-index of 11 and an i10-index of 11, reflecting sustained impact and strong visibility in numerical analysis, computational mathematics, and engineering applications.
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