Y. Sergeyev

发表

Operational zones for comparing metaheuristic and deterministic one-dimensional global optimization algorithms

Y. Sergeyev, D. Kvasov, M. Mukhametzhanov, 2017, Math. Comput. Simul..

Test Problems for Lipschitz Univariate Global Optimization with Multiextremal Constraints

D. Famularo, Y. Sergeyev, P. Pugliese, 2002 .

Global Search Based on Efficient Diagonal Partitions and a Set of Lipschitz Constants pdf

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2006, SIAM J. Optim..

Multidimensional global optimization algorithm based on adaptive diagonal curves

Y. Sergeyev, D. Kvasov, 2003 .

A one-dimensional deterministic global minimization algorithm

Y. Sergeyev, 1995 .

Efficient Strategy for Adaptive Partition of N-Dimensional Intervals in the Framework of Diagonal Algorithms

Y. Sergeyev, 2000 .

On convergence of "divide the best" global optimization algorithms

Y. Sergeyev, 1998 .

Parallel Asynchronous Global Search and the Nested Optimization Scheme

Y. Sergeyev, V. Grishagin, 2001 .

Univariate geometric Lipschitz global optimization algorithms

Y. Sergeyev, D. Kvasov, 2012 .

Finding the Minimal Root of an Equation

Y. Sergeyev, 2006 .

Control system design using global optimization techniques

D. Famularo, Y. Sergeyev, P. Pugliese, 1999 .

Sequential and parallel algorithms for global minimizing functions with Lipschitzian derivatives

Y. Sergeyev, V. Gergel, 1999 .

Tuning fuzzy power-system stabilizers in multi-machine systems by global optimization algorithms based on efficient domain partitions

Y. Sergeyev, D. Kvasov, D. Menniti, 2008 .

One-dimensional Global Optimization Problems with Multiextremal Constraints

Falah M. H. Khalaf, Y. Sergeyev, D. Kvasov, 2007 .

Numerical infinities applied for studying Riemann series theorem and Ramanujan summation

Y. Sergeyev, 2018 .

Grossone Infinity Computing

Y. Sergeyev, 2017 .

Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems

Yaroslav D. Sergeyev, Y. Sergeyev, 2017 .

Numerical infinities and infinitesimals in a new supercomputing framework

Y. Sergeyev, 2016 .

A New Computational Approach to Infinity for Modelling Physical Phenomena

Y. Sergeyev, 2014 .

Numerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains

Yaroslav D. Sergeyev, Y. Sergeyev, 2009, 1203.4140.

Infinity Computer and Calculus

Yaroslav D. Sergeyev, Y. Sergeyev, 2007 .

Examples of solving ODEs given as a Black-Box on the Infinity Computer

Y. Sergeyev, M. Mukhametzhanov, D. Kvasov, 2015 .

Lipschitz Global Optimization

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2011 .

An Algorithm for Finding the Global Minimum of Multiextremal Lipschitz Functions

Y. Sergeyev, 1994 .

All Russian mathematical portal

Y. Sergeyev, 2020 .

Generation of symmetric exponential sums

Y. Sergeyev, 2004, 1103.2043.

Firms' R&D decisions under incomplete information

Vladimir A. Grishagin, Yaroslav D. Sergeyev, D. B. Silipo, 2001, Eur. J. Oper. Res..

Percolation Transition and Related Phenomena in Terms of Grossone Infinity Computations

Y. Sergeyev, D. Iudin, 2017 .

Global optimization with non-convex constraints

Roman G. Strongin, Yaroslav D. Sergeyev, Y. Sergeyev, 2000 .

Acceleration techniques in the univariate Lipschitz global optimization

Y. Sergeyev, D. Kvasov, M. Mukhametzhanov, 2016 .

Deterministic Global Optimization

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2017 .

The difficulty of prime factorization is a consequence of the positional numeral system

Yaroslav D. Sergeyev, Y. Sergeyev, 2016 .

Deterministic Global Optimization: An Introduction to the Diagonal Approach

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2017 .

Examples of the Usage of Infinities and Infinitesimals in Numerical Computations

Yaroslav D. Sergeyev, Y. Sergeyev, 2014, WIVACE.

Foreword to the special issue ''Recent Trends in Numerical Computations: Theory and Algorithms''

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Luigi Brugnano, 2018, Appl. Math. Comput..

To the special issue dedicated to the 3rd international conference "Numerical Computations: Theory and Algorithms - NUMTA 2019" June 15-21, 2019, Isola Capo Rizzuto, Italy

Yaroslav D. Sergeyev, Renato De Leone, Gerardo Toraldo, 2020, Soft Comput..

Cellular Automata and Grossone Computations

Louis D'Alotto, Yaroslav D. Sergeyev, Y. Sergeyev, 2017 .

Solving the Lexicographic Multi-Objective Mixed-Integer Linear Programming Problem using branch-and-bound and grossone methodology

Yaroslav D. Sergeyev, Massimo Pappalardo, Marco Cococcioni, 2020, Commun. Nonlinear Sci. Numer. Simul..

Independence of the Grossone-Based Infinity Methodology from Non-standard Analysis and Comments upon Logical Fallacies in Some Texts Asserting the Opposite

Yaroslav D. Sergeyev, Y. Sergeyev, 2018, Foundations of Science.

Some Paradoxes of Infinity Revisited

Y. Sergeyev, 2022, Mediterranean Journal of Mathematics.

Preface to the special issue NUMTA 2013

Yaroslav D. Sergeyev, Anatoly Zhigljavsky, Luigi Brugnano, 2015, Commun. Nonlinear Sci. Numer. Simul..

The infinity computer vs. symbolic computations: First steps in comparison

Y. Sergeyev, M. Mukhametzhanov, 2020 .

Conjugate-symplecticity of Euler-Maclaurin methods and their implementation on the Infinity Computer

Y. Sergeyev, M. Mukhametzhanov, F. Iavernaro, 2018, 1807.10952.

Comments upon the usage of derivatives in Lipschitz global optimization

Y. Sergeyev, D. Kvasov, M. Mukhametzhanov, 2016 .

Dynamic Process Scheduling in a Parallel Logic Machine

Mario Cannataro, Domenico Talia, Giandomenico Spezzano, 1992, IJCSLP Workshop on Concurrent and Parallel Implementations.

Numerical Methods for Solving Initial Value Problems on the Infinity Computer

Yaroslav D. Sergeyev, Marat S. Mukhametzhanov, Pierluigi Amodio, 2016, Int. J. Unconv. Comput..

Space-filling curves and multiple estimates of Hölder constants in derivative-free global optimization

Y. Sergeyev, D. Lera, 2016 .

A Constrained Global Optimization Algorithm with Application to PI Robust Synthesis

D. Famularo, Y. Sergeyev, P. Pulgliese, 2000 .

Remarks on global optimization using space-filling curves

Y. Sergeyev, D. Lera, 2016 .

Preface to the special issue dedicated to the 14th international workshop on global optimization held in Leiden, The Netherlands, September 18-21, 2018

Michael T. M. Emmerich, Yaroslav D. Sergeyev, Iryna Yevseyeva, 2021, J. Glob. Optim..

Advantages of the usage of the Infinity Computer for reducing the Zeno behavior in hybrid system models

Y. Sergeyev, M. Mukhametzhanov, A. Garro, 2022, Soft Computing.

On existence of infinite primes and infinite twin primes

Y. Sergeyev, M. Margenstern, 2015, 1501.03051.

Some Paradoxes of Infinity Revisited

Y. Sergeyev, 2022, Mediterranean Journal of Mathematics.

Globally-biased Disimpl algorithm for expensive global optimization

Y. Sergeyev, D. Kvasov, R. Paulavičius, 2014, Journal of Global Optimization.

A Generator of Multiextremal Test Classes With Known Solutions for Black-Box-Constrained Global Optimization

Y. Sergeyev, D. Kvasov, M. Mukhametzhanov, 2022, IEEE Transactions on Evolutionary Computation.

On the Least-Squares Fitting of Data by Sinusoids

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov, 2016, Advances in Stochastic and Deterministic Global Optimization.

Fast detection of the first zero-crossing in a measurement signal set

Pasquale Daponte, Domenico Grimaldi, Y. Sergeyev, 1996 .

An algorithm for finding the zero crossing of time signals with Lipschitzean derivatives

Pasquale Daponte, Domenico Grimaldi, Y. Sergeyev, 1995 .

East-West paths to unconventional computing.

Susan Stepney, Andrew Schumann, Cristian S. Calude, 2017, Progress in biophysics and molecular biology.

Finding the Minimal Root of an Equation with the Multiextremal and Nondifferentiable Left-Hand Part

Yaroslav D. Sergeyev, Anna Molinaro, Y. Sergeyev, 2001, Numerical Algorithms.

Interval Algorithms for Finding the Minimal Root in a Set of Multiextremal One-Dimensional Nondifferentiable Functions

Inmaculada García, Leocadio G. Casado, Yaroslav D. Sergeyev, 2002, SIAM J. Sci. Comput..

Interval Branch and Bound Algorithm for Finding the First-Zero-Crossing-Point in One-Dimensional Functions

Inmaculada García, Leocadio G. Casado, Yaroslav D. Sergeyev, 2000, Reliab. Comput..

Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes

Vladimir A. Grishagin, Yaroslav D. Sergeyev, Ruslan Israfilov, 2018, Appl. Math. Comput..

An information global minimization algorithm using the local improvement technique

Yaroslav D. Sergeyev, Daniela Lera, Y. Sergeyev, 2010, J. Glob. Optim..

Parallel Characteristical Algorithms for Solving Problems of Global Optimization

Vladimir A. Grishagin, Roman G. Strongin, Yaroslav D. Sergeyev, 1997, J. Glob. Optim..

A parallel method for finding the global minimum of univariate functions

V. A. Grishagin, Y. Sergeyev, V. Grishagin, 1994 .

Lipschitz and Hölder global optimization using space-filling curves

Y. Sergeyev, Ya.D. Sergeyev, D. Lera, 2010 .

A deterministic global optimization using smooth diagonal auxiliary functions

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2015, Commun. Nonlinear Sci. Numer. Simul..

Deterministic approaches for solving practical black-box global optimization problems

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2015, Adv. Eng. Softw..

Efficient smooth minorants for global optimization of univariate functions with the first derivative satisfying the interval Lipschitz condition

Y. Sergeyev, M. Posypkin, 2022, Journal of Global Optimization.

Numerical methods using two different approximations of space-filling curves for black-box global optimization

Maria Chiara Nasso, Y. Sergeyev, D. Lera, 2022, Journal of Global Optimization.

Novel local tuning techniques for speeding up one-dimensional algorithms in expensive global optimization using Lipschitz derivatives

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov, 2021, J. Comput. Appl. Math..

Safe global optimization of expensive noisy black-box functions in the $δ$-Lipschitz framework pdf

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Antonio Candelieri, 2019, Soft Comput..

On Acceleration of Derivative-Free Univariate Lipschitz Global Optimization Methods

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov, 2019, NUMTA.

Acceleration of Univariate Global Optimization Algorithms Working with Lipschitz Functions and Lipschitz First Derivatives

Yaroslav D. Sergeyev, Daniela Lera, Y. Sergeyev, 2013, SIAM J. Optim..

Index Branch-and-Bound Algorithm for Global Optimization with Multiextremal Constraints pdf

Yaroslav D. Sergeyev, Domenico Famularo, Paolo Pugliese, 2011, ArXiv.

Univariate Algorithms for Solving Global Optimization Problems with Multiextremal Non-differentiable Constraints

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Falah M. H. Khalaf, 2007 .

Univariate Global Optimization with Multiextremal Non-Differentiable Constraints Without Penalty Functions

Yaroslav D. Sergeyev, Y. Sergeyev, 2006, Comput. Optim. Appl..

New Interval Analysis Support Functions Using Gradient Information in a Global Minimization Algorithm

José A. Martínez, Inmaculada García, Leocadio G. Casado, 2003, J. Glob. Optim..

Index branch-and-bound algorithm for Lipschitz univariate global optimization with multiextremal constraints

Yaroslav D. Sergeyev, Domenico Famularo, Paolo Pugliese, 2001, J. Glob. Optim..

Acceleration Tools for Diagonal Information Global Optimization Algorithms

Clara Pizzuti, Yaroslav D. Sergeyev, Anna Molinaro, 2001, Comput. Optim. Appl..

Parallel Information Algorithm with Local Tuning for Solving Multidimensional GO Problems

Yaroslav D. Sergeyev, Y. Sergeyev, 1999, J. Glob. Optim..

Two methods for solving optimization problems arising in electronic measurements and electrical engineering

Pasquale Daponte, Domenico Grimaldi, Yaroslav D. Sergeyev, 1999, SIAM J. Optim..

Numerical Computations: Theory and Algorithms: Third International Conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019, Revised Selected Papers, Part I

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2020, NUMTA.

A global optimization technique for fixed-order control design

Domenico Famularo, Paolo Pugliese, Y. D. Sergeyev, 2004, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

Globally-biased Disimpl algorithm for expensive global optimization

Julius Zilinskas, Yaroslav D. Sergeyev, Dmitri E. Kvasov, 2014, Journal of Global Optimization.

Lexicographic multi-objective linear programming using grossone methodology: Theory and algorithm

Marco Cococcioni, Yaroslav D. Sergeyev, Massimo Pappalardo, 2018, Appl. Math. Comput..

Learning and Intelligent Optimization

Roberto Battiti, Yaroslav D. Sergeyev, Dmitri E. Kvasov, 2017, Lecture Notes in Computer Science.

On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales pdf

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov, 2018, Commun. Nonlinear Sci. Numer. Simul..

Numerical Computations with Infinite and Infinitesimal Numbers: Theory and Applications

Yaroslav D. Sergeyev, Y. Sergeyev, 2013 .

On the efficiency of nature-inspired metaheuristics in expensive global optimization with limited budget

Y. Sergeyev, M. Mukhametzhanov, D. Kvasov, 2018, Scientific Reports.

Global Optimization with Non-Convex Constraints - Sequential and Parallel Algorithms (Nonconvex Optimization and its Applications Volume 45) (Nonconvex Optimization and Its Applications)

Y. D. Sergeyev, R. G. Strongin, Y. Sergeyev, 2000 .

Space-filling curves for numerical approximation and visualization of solutions to systems of nonlinear inequalities with applications in robotics

Mikhail Posypkin, Yaroslav D. Sergeyev, Daniela Lera, 2021, Appl. Math. Comput..

Globally-biased BIRECT algorithm with local accelerators for expensive global optimization

Remigijus Paulavičius, Julius Žilinskas, Yaroslav D. Sergeyev, 2020, Expert Syst. Appl..

On the search of the shape parameter in radial basis functions using univariate global optimization methods

R. Cavoretto, A. De Rossi, M. S. Mukhametzhanov, 2019, Journal of Global Optimization.

A two-phase approach in a global optimization algorithm using multiple estimates of hölder constants

Yaroslav D. Sergeyev, Daniela Lera, Y. Sergeyev, 2019 .

Ill-conditioning provoked by scaling in univariate global optimization and its handling on the infinity computer

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov, 2019 .

Introduction to Global Optimization Exploiting Space-Filling Curves

Y. Sergeyev, R. Strongin, D. Lera, 2013 .

Algorithm 829: Software for generation of classes of test functions with known local and global minima for global optimization

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marco Gaviano, 2003, TOMS.

Lipschitz gradients for global optimization in a one-point-based partitioning scheme pdf

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2012, J. Comput. Appl. Math..

Index information algorithm with local tuning for solving multidimensional global optimization problems with multiextremal constraints

Yaroslav D. Sergeyev, Domenico Famularo, Paolo Pugliese, 2011, Math. Program..

Evolution is the New Deep Learning

Y. Sergeyev, 2018 .

Maximizing Performance and Robustness of pi and PID controllers by Global Optimization

Yaroslav D. Sergeyev, Paolo Pugliese, Luciano Carotenuto, 2006, Control. Intell. Syst..

Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants pdf

Yaroslav D. Sergeyev, Daniela Lera, Y. Sergeyev, 2015, Commun. Nonlinear Sci. Numer. Simul..

An Information Global Optimization Algorithm with Local Tuning

Yaroslav D. Sergeyev, Y. Sergeyev, 1995, SIAM J. Optim..

Numerical Computations: Theory and Algorithms: Third International Conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019, Revised Selected Papers, Part II

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2020, NUMTA.

Computations with Grossone-Based Infinities

Yaroslav D. Sergeyev, Y. Sergeyev, 2015, UCNC.

Methodology of Numerical Computations with Infinities and Infinitesimals pdf

Yaroslav D. Sergeyev, Y. Sergeyev, 2012, ArXiv.

Counting systems and the First Hilbert problem

Yaroslav D. Sergeyev, Y. Sergeyev, 2010, 1203.4141.

A New Applied Approach for Executing Computations with Infinite and Infinitesimal Quantities

Yaroslav D. Sergeyev, Y. Sergeyev, 2008, Informatica.

Mathematical foundations of the infinity computer

Yaroslav D. Sergeyev, Y. Sergeyev, 2006, Ann. UMCS Informatica.

Iterative Grossone-Based Computation of Negative Curvature Directions in Large-Scale Optimization

Yaroslav D. Sergeyev, Renato De Leone, Giovanni Fasano, 2020, Journal of Optimization Theory and Applications.

Local tuning and partition strategies for diagonal GO methods

Clara Pizzuti, Yaroslav D. Sergeyev, Dmitri E. Kvasov, 2003, Numerische Mathematik.

The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area

Yaroslav D. Sergeyev, Y. Sergeyev, 2015, Commun. Nonlinear Sci. Numer. Simul..

Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 "Numerical Computations: Theory and Algorithms"

Yaroslav D. Sergeyev, Anatoly Zhigljavsky, Luigi Brugnano, 2021, J. Comput. Appl. Math..

A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic

Yaroslav D. Sergeyev, Marat S. Mukhametzhanov, Pierluigi Amodio, 2017, Math. Comput. Simul..

The Olympic Medals Ranks, Lexicographic Ordering, and Numerical Infinities

Yaroslav D. Sergeyev, Y. Sergeyev, 2015, 1509.04313.

Infinity computations in cellular automaton forest-fire model

D. I. Iudin, M. Hayakawa, Ya.D. Sergeyev, 2015, Commun. Nonlinear Sci. Numer. Simul..

Solving ordinary differential equations on the Infinity Computer by working with infinitesimals numerically

Yaroslav D. Sergeyev, Y. Sergeyev, 2013, Appl. Math. Comput..

Interpretation of percolation in terms of infinity computations

Yaroslav D. Sergeyev, Masashi Hayakawa, D. I. Iudin, 2012, Appl. Math. Comput..

Higher order numerical differentiation on the Infinity Computer

Yaroslav D. Sergeyev, Y. Sergeyev, 2011, Optim. Lett..

On accuracy of mathematical languages used to deal with the Riemann zeta function and the Dirichlet eta function

Yaroslav D. Sergeyev, Y. Sergeyev, 2011, 1203.4142.

Observability of Turing Machines: A Refinement of the Theory of Computation

Alfredo Garro, Yaroslav D. Sergeyev, Y. Sergeyev, 2010, Informatica.

Evaluating the exact infinitesimal values of area of Sierpinski’s carpet and volume of Menger’s sponge ☆

Yaroslav D. Sergeyev, Y. Sergeyev, 2009, 1203.3150.

Solving ordinary differential equations by working with infinitesimals numerically on the Infinity Computer

Yaroslav D. Sergeyev, Y. Sergeyev, 2013 .

Computation of higher order Lie derivatives on the Infinity Computer

Yaroslav D. Sergeyev, Marat S. Mukhametzhanov, Francesca Mazzia, 2021, J. Comput. Appl. Math..

Conjugate-symplecticity properties of Euler–Maclaurin methods and their implementation on the Infinity Computer

M. S. Mukhametzhanov, Y. Sergeyev, M. Mukhametzhanov, 2018 .

Non-convex multi-objective optimization

Yaroslav D. Sergeyev, Y. Sergeyev, 2017, Optim. Methods Softw..

Applied Mathematics and Computation

Tae H. Lee, Bharti, T. Stützle, 2020 .

On the efficiency of nature-inspired metaheuristics in expensive global optimization with limited budget

Ya D Sergeyev, D E Kvasov, M S Mukhametzhanov, 2018, Scientific Reports.

Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers

Yaroslav D. Sergeyev, Y. Sergeyev, 2007 .

Lipschitz global optimization methods in control problems

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Y. Sergeyev, 2013, Autom. Remote. Control..

Representation of grossone-based arithmetic in simulink for scientific computing

Alberto Falcone, Alfredo Garro, Yaroslav D. Sergeyev, 2020, Soft Computing.

Global Optimization: Fractal Approach and Non-redundant Parallelism

Roman G. Strongin, Yaroslav D. Sergeyev, Y. Sergeyev, 2003, J. Glob. Optim..

Numerical computations and mathematical modelling with infinite and infinitesimal numbers

Yaroslav D. Sergeyev, Y. Sergeyev, 2012, ArXiv.

East-West paths to unconventional computing.

Cristian S. Calude, Mohammad Mahdi Dehshibi, José Félix Costa, 2017, Progress in biophysics and molecular biology.

Derivative-Free Local Tuning and Local Improvement Techniques Embedded in the Univariate Global Optimization

Y. Sergeyev, D. Kvasov, M. Mukhametzhanov, 2016, J. Optim. Theory Appl..

Global Optimization Algorithms Using Curves to Reduce Dimensionality of the Problem

Roman G. Strongin, Yaroslav D. Sergeyev, Daniela Lera, 2013 .

THE EXACT INFINITESIMAL VALUES OF AREA OF S IERPINSKI ’ S CARPET AND VOLUME OF M ENGER ’ S SPONGE

Y. Sergeyev, 2009 .

Global Minimization Algorithms for Holder Functions

Yaroslav D. Sergeyev, Daniela Lera, Y. Sergeyev, 2002 .

Global one-dimensional optimization using smooth auxiliary functions

Yaroslav D. Sergeyev, Y. Sergeyev, 1998, Math. Program..