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Algorithms, Volume 14, Issue 4

April 2021 - 27 articles

Cover Story: A new parametric family of three-step iterative procedures for approximating the solutions of nonlinear equations is presented. The analysis of convergence proves the sixth-order of all members of the class. Using complex dynamics, wide areas of the complex plane are found where the corresponding value of the parameter yields a stable iterative scheme. Moreover, some other regions are found whose respective iterative methods have chaotic or unstable behavior. Several test functions are analyzed to check the analytical and dynamical information. Some of the proposed methods are shown to be very efficient and can converge from initial estimations far from the searched solution. View this paper.
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Articles (27)

  • Article
  • Open Access
1 Citations
3,211 Views
19 Pages

20 April 2021

Binary cube-free language and ternary square-free language are two “canonical” representatives of a wide class of languages defined by avoidance properties. Each of these two languages can be viewed as an infinite binary tree reflecting the prefix or...

  • Article
  • Open Access
35 Citations
5,058 Views
22 Pages

20 April 2021

This study investigates the use of machine-learning approaches to interpret Dissolved Gas Analysis (DGA) data to find incipient faults early in oil-impregnated transformers. Transformers are critical pieces of equipment in transmitting and distributi...

  • Article
  • Open Access
4 Citations
3,965 Views
15 Pages

18 April 2021

We propose and validate a method to find an implicit representation of a surface placed at a distance h from another implicit surface. With two such surfaces on either side of the original surface, a volumetric shell of predefined thickness can be ob...

  • Article
  • Open Access
2 Citations
2,736 Views
18 Pages

16 April 2021

Cryptography is the science and study of protecting data in computer and communication systems from unauthorized disclosure and modification. An ordinary difference equation (a map) can be used in encryption–decryption algorithms. In particular, the...

  • Article
  • Open Access
40 Citations
7,464 Views
21 Pages

12 April 2021

In recent years, new metaheuristic algorithms have been developed taking as reference the inspiration on biological and natural phenomena. This nature-inspired approach for algorithm development has been widely used by many researchers in solving opt...

  • Article
  • Open Access
5 Citations
4,277 Views
9 Pages

Estimating the Tour Length for the Close Enough Traveling Salesman Problem

  • Debdatta Sinha Roy,
  • Bruce Golden,
  • Xingyin Wang and
  • Edward Wasil

12 April 2021

We construct empirically based regression models for estimating the tour length in the Close Enough Traveling Salesman Problem (CETSP). In the CETSP, a customer is considered visited when the salesman visits any point in the customer’s service region...

  • Article
  • Open Access
24 Citations
6,044 Views
21 Pages

Security Audit of a Blockchain-Based Industrial Application Platform

  • Jan Stodt,
  • Daniel Schönle,
  • Christoph Reich,
  • Fatemeh Ghovanlooy Ghajar,
  • Dominik Welte and
  • Axel Sikora

10 April 2021

In recent years, both the Internet of Things (IoT) and blockchain technologies have been highly influential and revolutionary. IoT enables companies to embrace Industry 4.0, the Fourth Industrial Revolution, which benefits from communication and conn...

  • Article
  • Open Access
11 Citations
3,586 Views
18 Pages

An Improved Artificial Bee Colony for Feature Selection in QSAR

  • Yanhong Lin,
  • Jing Wang,
  • Xiaolin Li,
  • Yuanzi Zhang and
  • Shiguo Huang

9 April 2021

Quantitative Structure–Activity Relationship (QSAR) aims to correlate molecular structure properties with corresponding bioactivity. Chance correlations and multicollinearity are two major problems often encountered when generating QSAR models. Featu...

  • Article
  • Open Access
14 Citations
3,349 Views
12 Pages

8 April 2021

Aiming at the problem of fault diagnosis in continuous time systems, a kind of fault diagnosis algorithm based on adaptive nonlinear proportional integral (PI) observer, which can realize the effective fault identification, is studied in this paper....

  • Article
  • Open Access
3 Citations
7,113 Views
30 Pages

Phase Congruential White Noise Generator

  • Aleksei F. Deon,
  • Oleg K. Karaduta and
  • Yulian A. Menyaev

5 April 2021

White noise generators can use uniform random sequences as a basis. However, such a technology may lead to deficient results if the original sequences have insufficient uniformity or omissions of random variables. This article offers a new approach f...

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Algorithms - ISSN 1999-4893