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Mathematics, Volume 10, Issue 24

2022 December-2 - 209 articles

Cover Story: The QR decomposition of a matrix is an important tool in numerical linear algebra, used to solve least squares problems and compute eigenvalue and singular value decompositions. The aim of a perturbation analysis is to find bounds on the elements of the QR decomposition when the original  matrix is subject to perturbations of a given size and of different kinds (model inconsistencies, measurements, and rounding errors). In this paper, a rigorous componentwise perturbation analysis of the QR decomposition based on the method of splitting operators is presented. The analysis presented was carried out with the aim to find normwise and componentwise asymptotic perturbation bounds as well as global bounds. The main result is the obtainment of new asymptotic componentwise perturbation estimates which produce less conservative bounds of the QR decomposition elements. View this paper
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Articles (209)

  • Article
  • Open Access
2,040 Views
16 Pages

19 December 2022

The quasi-synchronization for a class of general heterogeneous neural networks is explored by event-based impulsive control strategy. Compared with the traditional average impulsive interval (AII) method, instead, an event-triggered mechanism (ETM) i...

  • Article
  • Open Access
1 Citations
2,876 Views
52 Pages

Interval Fuzzy Type-2 Sliding Mode Control Design of Six-DOF Robotic Manipulator

  • Yassine Bouteraa,
  • Khalid A. Alattas,
  • Obaid Alshammari,
  • Sondess Ben Aoun,
  • Mohamed Amin Regaieg and
  • Saleh Mobayen

19 December 2022

The remarkable features of hybrid SMC assisted with fuzzy systems supplying parameters of the controller have led to significant success of these control approaches, especially in the control of multi-input and multi-output nonlinear systems. The dev...

  • Article
  • Open Access
4 Citations
4,559 Views
13 Pages

Graph Learning for Attributed Graph Clustering

  • Xiaoran Zhang,
  • Xuanting Xie and
  • Zhao Kang

19 December 2022

Due to the explosive growth of graph data, attributed graph clustering has received increasing attention recently. Although deep neural networks based graph clustering methods have achieved impressive performance, the huge amount of training paramete...

  • Article
  • Open Access
6 Citations
2,456 Views
20 Pages

Investigation of Mixed Convection in Spinning Nanofluid over Rotating Cone Using Artificial Neural Networks and BVP-4C Technique

  • Ali Hassan,
  • Qusain Haider,
  • Najah Alsubaie,
  • Fahad M. Alharbi,
  • Abdullah Alhushaybari and
  • Ahmed M. Galal

19 December 2022

The significance of back-propagated intelligent neural networks (BINs) to investigate the transmission of heat in spinning nanofluid over a rotating system is analyzed in this study. The buoyancy effect is incorporated along with the constant thermop...

  • Article
  • Open Access
3 Citations
1,780 Views
15 Pages

19 December 2022

In the first part of this paper, we give generalizations of the Fekete–Szegö inequalities for quasiconvex mappings F of type B and the first elements F of g-Loewner chains on the unit ball of a complex Banach space, recently obtained by H....

  • Article
  • Open Access
14 Citations
2,315 Views
13 Pages

Entropies Via Various Molecular Descriptors of Layer Structure of H3BO3

  • Muhammad Usman Ghani,
  • Muhammad Kashif Maqbool,
  • Reny George,
  • Austine Efut Ofem and
  • Murat Cancan

19 December 2022

Entropy is essential. Entropy is a measure of a system’s molecular disorder or unpredictability, since work is produced by organized molecular motion. Entropy theory offers a profound understanding of the direction of spontaneous change for man...

  • Article
  • Open Access
1 Citations
3,950 Views
22 Pages

Subgraph Query Matching in Multi-Graphs Based on Node Embedding

  • Muhammad Anwar,
  • Aboul Ella Hassanien,
  • Václav Snás̃el and
  • Sameh H. Basha

19 December 2022

This paper presents an efficient algorithm for matching subgraph queries in a multi-graph based on features-based indexing techniques. The KD-tree data structure represents these nodes’ features, while the set-trie index data structure represen...

  • Article
  • Open Access
11 Citations
3,229 Views
24 Pages

Modeling the Operation of Signal-Controlled Intersections with Different Lane Occupancy

  • Viacheslav Morozov,
  • Vladimir Shepelev and
  • Viktor Kostyrchenko

19 December 2022

In many cities of the world, the problem of traffic congestion on the roads remains relevant and unresolved. It is especially noticeable at signal-controlled intersections, since traffic signalization is among the most important factors that reduce t...

  • Article
  • Open Access
7 Citations
2,744 Views
17 Pages

19 December 2022

Due to the time delay and some unavoidable noise factors, obtaining a real-time solution of dynamic time-varying linear matrix equation (LME) problems is of great importance in the scientific and engineering fields. In this paper, based on the philos...

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Mathematics - ISSN 2227-7390