Convergence analysis of any random search algorithm helps to verify whether and how quickly the guarantees convergence point interest. Butterfly optimization (BOA) is a popular population-based stochastic optimizer introduced by mimicking foraging behaviors butterflies in nature. In this paper, we have developed Markov chain model BOA analyzed behavior algorithm. The constituted where populatio...

Convergence of a matrix dynamics for online LDA is analyzed. Especially, stable spurious solutions are pointed out and two schemes to prevent the spurious solutions are proposed. The performance of the algorithm is confirmed by simulations of face identification.

In this paper, the homotopy analysis method (HAM) is considered to obtain the solution of the Schrodinger equation with a power law nonlinearity. For this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. Also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region ...

in this paper‎, ‎following a very recent‎ ‎and new approach‎, ‎we further generalize recently introduced‎ ‎summability methods‎, ‎namely‎, ‎$i$-statistical convergence and‎ ‎$i$-lacunary statistical convergence (which extend the important‎ ‎summability methods‎, ‎statistical convergence and lacunary‎ ‎statistical convergence using ideals of $mathbb{n}$) and‎ ‎introduce the notions of $i$-statis...

The method of generalized quasilinearization for second-order boundary value problems has been extended when the forcing function is the sum of 2-hyperconvex and 2-hyperconcave functions. We develop two sequences under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergence is of order 3. Finally, we provide numerical examples to sho...