Evar Lutfalla Sadraddin

Salahaddin University - Erbil | SUH · Department of Mathematics

In this work, a matrix form in spectral quasi-Newton algorithm of type BFGS, named DH − SQN EI , is suggested. It is a diagonal matrix containing the proposed spectral parameter in BFGS direction along with an approximated Hessian matrix inverse, which is updated by own formula. This is done all to find more effective algorithms for accelerating th...

In this paper, two modifications for spectral quasi-Newton algorithm of type BFGS are imposed. In the first algorithm, named SQNEI, a certain spectral parameter is used in such a step for BFGS algorithm differs from other presented algorithms. The second algorithm, SQNEv-Iv, has both new parameter position and value suggestion. In SQNEI and SQNEv-I...

A new hybrid quasi-Newton search direction ( HQN^EI ) is proposed. It uses the update formula of Broyden–Fletcher–Goldfarb–Shanno (BFGS) with a certain conjugate gradient (CG) parameter by a nested direction. The global convergence analysis and superlinear rate, addtionaly with sufficient descent are proved using exact line search. Finall...

The virologically confirmed cases of a new coronavirus disease (COVID‐19) in the world are rapidly increasing, leading epidemiologists and mathematicians to construct transmission models that aim to predict the future course of the current pandemic. The transmissibility of a virus is measured by the basic reproduction number ( R_0), which measures...

A general method for analyzing repeated measure models obtained, whenever the covariance matrix has a certain patterned structure. In this paper, two cases are considered with assuming a weaker assumption on the covariance matrix. In order to make a test around the mean for these two cases, which the first one is the case of being a particular indi...

Previously a general method to analyze a nested repeated measure model was developed when the covariance matrix had a certain pattern. A case of being a number of sub-individuals of a particular individual, such as sub-field or other types of offsprings, receives several treatments. As a consequence, the observations are correlated with certain cov...