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1

An algorithm for solving global optimization problems with nonlinear constraints

Yaroslav D. Sergeyev, Dmitri L. Markin

Journal:

Journal of Global Optimization

Year:

1995

Language:

english

File:

PDF, 573 KB

english, 1995

2

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

Lera, Daniela, Posypkin, Mikhail, Sergeyev, Yaroslav D.

Journal:

Applied Mathematics and Computation

Year:

2021

File:

PDF, 2.89 MB

2021

3

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

Yaroslav D. Sergeyev

Journal:

Chaos, Solitons & Fractals

Year:

2009

Language:

english

File:

PDF, 202 KB

english, 2009

4

Generation of symmetric exponential sums

Yaroslav D Sergeyev

Journal:

Journal of Number Theory

Year:

2004

Language:

english

File:

PDF, 262 KB

english, 2004

5

Global one-dimensional optimization using smooth auxiliary functions

Yaroslav D. Sergeyev

Journal:

Mathematical Programming

Year:

1998

Language:

english

File:

PDF, 1.01 MB

english, 1998

6

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

Yaroslav D. Sergeyev, Paolo Pugliese, Domenico Famularo

Journal:

Mathematical Programming

Year:

2003

Language:

english

File:

PDF, 656 KB

english, 2003

7

Higher order numerical differentiation on the Infinity Computer

Yaroslav D. Sergeyev

Journal:

Optimization Letters

Year:

2011

Language:

english

File:

PDF, 187 KB

english, 2011

8

Numerical computations and mathematical modelling with infinite and infinitesimal numbers

Yaroslav D. Sergeyev

Journal:

Journal of Applied Mathematics and Computing

Year:

2009

Language:

english

File:

PDF, 411 KB

english, 2009

9

An Information Global Optimization Algorithm with Local Tuning

Sergeyev, Yaroslav D.

Journal:

SIAM Journal on Optimization

Year:

1995

Language:

english

File:

PDF, 1.32 MB

english, 1995

10

Deterministic approaches for solving practical black-box global optimization problems

Kvasov, Dmitri E., Sergeyev, Yaroslav D.

Journal:

Advances in Engineering Software (Thomson Reuters)

Year:

2015

Language:

english

File:

PDF, 1013 KB

english, 2015

11

Vladimir Fedorovich Demyanov (18.08.1938–18.04.2014)

Gaudioso, Manlio, Malozemov, Vasily N., Sergeyev, Yaroslav D.

Journal:

Journal of Global Optimization

Year:

2014

Language:

english

File:

PDF, 200 KB

english, 2014

12

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

Lera, Daniela, Sergeyev, Yaroslav D.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 1.22 MB

english, 2015

13

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

Cococcioni, Marco, Pappalardo, Massimo, Sergeyev, Yaroslav D.

Journal:

Applied Mathematics and Computation

Year:

2017

Language:

english

File:

PDF, 630 KB

english, 2017

14

[SpringerBriefs in Optimization] Deterministic Global Optimization ||

Sergeyev, Yaroslav D., Kvasov, Dmitri E.

Year:

2017

Language:

english

File:

PDF, 4.94 MB

english, 2017

15

Non-convex multi-objective optimization

Sergeyev, Yaroslav D.

Journal:

Optimization Methods and Software

Year:

2017

Language:

english

File:

PDF, 313 KB

english, 2017

16

[Lecture Notes in Computer Science] Learning and Intelligent Optimization Volume 10556 || An Iterated Local Search Framework with Adaptive Operator Selection for Nurse Rostering

Battiti, Roberto, Kvasov, Dmitri E., Sergeyev, Yaroslav D.

Year:

2017

Language:

english

File:

PDF, 1.96 MB

english, 2017

17

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

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

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2018

Language:

english

File:

PDF, 965 KB

english, 2018

18

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) - Thessaloniki, Greece (25–30 September 2017)] - Numerical infinities applied for studying Riemann series theorem and Ramanujan summation

Sergeyev, Yaroslav D.

Year:

2018

Language:

english

File:

PDF, 114 KB

english, 2018

19

Global multidimensional optimization on parallel computer

Roman G Strongin, Yaroslav D Sergeyev

Journal:

Parallel Computing

Year:

1992

Language:

english

File:

PDF, 1.09 MB

english, 1992

20

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

Yaroslav D. Sergeyev

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 795 KB

english, 2009

21

Counting systems and the First Hilbert problem

Yaroslav D. Sergeyev

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 453 KB

english, 2010

22

Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers

Yaroslav D. Sergeyev

Journal:

Chaos, Solitons & Fractals

Year:

2007

Language:

english

File:

PDF, 427 KB

english, 2007

23

Local tuning and partition strategies for diagonal GO methods

Dmitri E. Kvasov, Clara Pizzuti, Yaroslav D. Sergeyev

Journal:

Numerische Mathematik

Year:

2003

Language:

english

File:

PDF, 359 KB

english, 2003

24

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

Yaroslav D. Sergeyev

Journal:

Computational Optimization and Applications

Year:

2006

Language:

english

File:

PDF, 401 KB

english, 2006

25

Foreword: Special issue celebrating the 70th birthday of Roman G. Strongin

Panos M. Pardalos, Yaroslav D. Sergeyev

Journal:

Journal of Global Optimization

Year:

2010

Language:

english

File:

PDF, 147 KB

english, 2010

26

An information global minimization algorithm using the local improvement technique

Daniela Lera, Yaroslav D. Sergeyev

Journal:

Journal of Global Optimization

Year:

2010

Language:

english

File:

PDF, 296 KB

english, 2010

27

A one-dimensional local tuning algorithm for solving GO problems with partially defined constraints

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

Journal:

Optimization Letters

Year:

2007

Language:

english

File:

PDF, 515 KB

english, 2007

28

A univariate global search working with a set of Lipschitz constants for the first derivative

Dmitri E. Kvasov, Yaroslav D. Sergeyev

Journal:

Optimization Letters

Year:

2009

Language:

english

File:

PDF, 417 KB

english, 2009

29

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

Yaroslav D. Sergeyev

Journal:

P-Adic Numbers, Ultrametric Analysis, and Applications

Year:

2011

Language:

english

File:

PDF, 771 KB

english, 2011

30

Parallel Characteristical Algorithms for Solving Problems of Global Optimization

Vladimir A. Grishagin, Yaroslav D. Sergeyev, Roman G. Strongin

Journal:

Journal of Global Optimization

Year:

1997

Language:

english

File:

PDF, 335 KB

english, 1997

31

Parallel Information Algorithm with Local Tuning for Solving Multidimensional GO Problems

Yaroslav D. Sergeyev

Journal:

Journal of Global Optimization

Year:

1999

Language:

english

File:

PDF, 70 KB

english, 1999

32

Acceleration Tools for Diagonal Information Global Optimization Algorithms

Anna Molinaro, Clara Pizzuti, Yaroslav D. Sergeyev

Journal:

Computational Optimization and Applications

Year:

2001

Language:

english

File:

PDF, 138 KB

english, 2001

33

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

Leocadio G. Casado, Inmaculada F. García, Yaroslav D. Sergeyev

Journal:

Reliable Computing

Year:

2000

File:

PDF, 428 KB

2000

34

Parallel Asynchronous Global Search and the Nested Optimization Scheme

Yaroslav D. Sergeyev, Vladimir A. Grishagin

Journal:

Journal of Computational Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 363 KB

english, 2001

35

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

Yaroslav D. Sergeyev, Domenico Famularo, Paolo Pugliese

Journal:

Journal of Global Optimization

Year:

2001

Language:

english

File:

PDF, 694 KB

english, 2001

36

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

Anna Molinaro, Yaroslav D. Sergeyev

Journal:

Numerical Algorithms

Year:

2001

Language:

english

File:

PDF, 142 KB

english, 2001

37

Foreword: Special issue INFINITY 2010

Renato De Leone, Yaroslav D. Sergeyev, Anatoly Zhigljavsky

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 97 KB

english, 2012

38

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

Dmitri E. Kvasov, Yaroslav D. Sergeyev

Journal:

Journal of Computational and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 355 KB

english, 2012

39

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

Sergeyev, Yaroslav D., Kvasov, Dmitri E.

Journal:

SIAM Journal on Optimization

Year:

2006

Language:

english

File:

PDF, 349 KB

english, 2006

40

Single-tape and multi-tape Turing machines through the lens of the Grossone methodology

Yaroslav D. Sergeyev, Alfredo Garro

Journal:

The Journal of Supercomputing

Year:

2013

Language:

english

File:

PDF, 653 KB

english, 2013

41

Algorithm 829

Gaviano, Marco, Kvasov, Dmitri E., Lera, Daniela, Sergeyev, Yaroslav D.

Journal:

ACM Transactions on Mathematical Software

Year:

2003

Language:

english

File:

PDF, 98 KB

english, 2003

42

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

Sergeyev, Yaroslav D.

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 498 KB

english, 2013

43

Globally-biasedDisimplalgorithm for expensive global optimization

Paulavičius, Remigijus, Sergeyev, Yaroslav D., Kvasov, Dmitri E., Žilinskas, Julius

Journal:

Journal of Global Optimization

Year:

2014

Language:

english

File:

PDF, 592 KB

english, 2014

44

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

Lera, Daniela, Sergeyev, Yaroslav D.

Journal:

SIAM Journal on Optimization

Year:

2013

Language:

english

File:

PDF, 481 KB

english, 2013

45

Preface to the special issue NUMTA 2013

Brugnano, Luigi, D.Sergeyev, Yaroslav, A.Zhigljavsky, Anatoly

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 212 KB

english, 2015

46

A deterministic global optimization using smooth diagonal auxiliary functions

Sergeyev, Yaroslav D., Kvasov, Dmitri E.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 838 KB

english, 2015

47

The Olympic Medals Ranks, Lexicographic Ordering, and Numerical Infinities

Sergeyev, Yaroslav D.

Journal:

The Mathematical Intelligencer

Year:

2015

Language:

english

File:

PDF, 631 KB

english, 2015

48

Guest editors’ foreword to the special issue devoted to the international conference “Numerical computations: Theory and Algorithms” June 17–23, 2013, Falerna, Italy

De Leone, Renato, Kvasov, Dmitri E., Sergeyev, Yaroslav D.

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 154 KB

english, 2015

49

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

Sergeyev, Yaroslav D.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 779 KB

english, 2015

50

[AIP Numerical Analysis and Applied Mathematics - Corfu, Greece (16-20 September 2007)] AIP Conference Proceedings - Infinity Computer and Calculus

Sergeyev, Yaroslav D., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2007

Language:

english

File:

PDF, 971 KB

english, 2007