76 citations · 631 across the 35 of their papers we have counts for
4 papers · 1 filter
Lipschitz gradients for global optimization in a one-point-based partitioning scheme
Dmitri E. Kvasov, Yaroslav D. Sergeyev
A global optimization problem is studied where the objective function is a multidimensional black-box function and its gradient satisfies the Lipschitz condition ove…
Single-tape and Multi-tape Turing machines through the lens of the Grossone methodology
Yaroslav D. Sergeyev, Alfredo Garro
The paper investigates how the mathematical languages used to describe and to observe automatic computations influence the accuracy of the obtained results. In particular, we focus…
Solving ordinary differential equations on the Infinity Computer by working with infinitesimals numerically
Yaroslav D. Sergeyev
There exists a huge number of numerical methods that iteratively construct approximations to the solution of an ordinary differential equation (ODE) starting…
Acceleration of univariate global optimization algorithms working with Lipschitz functions and Lipschitz first derivatives
Daniela Lera, Yaroslav D. Sergeyev
This paper deals with two kinds of the one-dimensional global optimization problems over a closed finite interval: (i) the objective function satisfies the Lipschitz conditi…