“…Both theoretical and numerical aspects of NEP were well investigated by the researchers. Various numerical methods such as classical Newton's method [30] block type Newton method [26], disguised and quasi-Newton method [20], LU-decomposition method [11], modified Newton's method [8], residual inverse iteration [29], Jacobi-Davidson type methods [4], implicit determinant method [37], method using contour integrals [1,3], Riesz-projected-based method [5], FEAST algorithm [14], Broyden's method [21] etc. were successfully applied for numerical solution of NEP.…”