This collection of Julia functions is an attemp to implement high performance numerical software to solve several classes of Lyapunov, Sylvester and Riccati matrix equations at a performance level ...

1 Department of Basic Science and Engineering, Faculty of Engineering, University of Khartoum, Khartoum, Sudan. 2 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of ...

Abstract: For the conjugate gradient method to solve the unconstrained optimization problem, given a new interval method to obtain the direction parameters, and a new conjugate gradient algorithm is ...

We introduce a new efficient spectral element approach to solve the two-dimensional magnetotelluric forward problem based on Gauss–Lobatto–Legendre polynomials. It combines the high accuracy of the ...

Concrete is used in the construction of high-rise buildings, large bridges, viaducts and other structures for a wide range of applications, and damage to the internal structure of concrete may to lead ...

the numerical results for unconstrained optimization problems, in which contain four tables. Unconstrained_optimization_problems implementation of two groups of experiments for unconstrained ...

Abstract: In this paper, artificial neural network (ANN) based Levenberg-Marquardt (LM), Bayesian Regularization (BR) and Scaled Conjugate Gradient (SCG) algorithms are deployed in maximum power point ...

Dynamic facial expressions are crucial for communication in primates. Due to the difficulty to control shape and dynamics of facial expressions across species, it is unknown how species-specific ...

Improvements in quantitative SPECT/CT have aroused growing interest in voxel-based dosimetry for radionuclide therapies, because it promises visualization of absorbed doses at a voxel level. In this ...

In this paper, a modified Polak-Ribière-Polyak conjugate gradient projection method is proposed for solving large scale nonlinear convex constrained monotone equations based on the projection method ...