Evolution of interval eigenvalue problems and its applications to the uncertain dynamic problems

S Maiti, S Chakraverty - Archives of Computational Methods in …, 2023 - Springer
In this article, we accumulate theories and computing procedures to find eigenvalue bounds
for interval matrices. Also, we have pointed out the computational complexity and …

On the Leakage, Torque, and Dynamic Force Coefficients of Air in Oil (Wet) Annular Seal: A Computational Fluid Dynamics Analysis Anchored to Test Data

L San Andrés, J Yang, X Lu - … of Engineering for …, 2019 - asmedigitalcollection.asme.org
Subsea pumps and compressors must withstand multiphase flows whose gas volume
fraction (GVF) or liquid volume fraction (LVF) varies over a wide range. Gas or liquid content …

The interval eigenvalue problem using constraint interval analysis with an application to linear differential equations

MT Mizukoshi, WA Lodwick - Fuzzy Sets and Systems, 2021 - Elsevier
The interval eigenvalue problem using constraint interval analysis with an application to
linear differential equations - ScienceDirect Skip to main contentSkip to article Elsevier logo …

[HTML][HTML] Interval tensors and their application in solving multi-linear systems of equations

H Bozorgmanesh, M Hajarian… - Computers & Mathematics …, 2020 - Elsevier
In this paper, we introduce interval tensors and present some results about their
eigenvalues, positive definiteness and application in solving multi-linear systems. It is …

Robust interval Luenberger observer-based state feedback control: Application to a multi-DoF micropositioner

M Hammouche, A Mohand-Ousaid… - … on Control Systems …, 2018 - ieeexplore.ieee.org
Controlling multidegrees of freedom (DOF) micropositioning systems always represents a
great challenge because of the high sensitivity to the environment at this scale and the cross …

Hybrid PSO-α BB Global Optimisation for C² Box-Constrained Multimodal NLPs

Y Matanga, Y Sun, Z Wang - IEEE access, 2021 - ieeexplore.ieee.org
BB is an elegant deterministic branch and bound global optimisation that guarantees global
optimum convergence with minimal parameter tuning. However, the method suffers from a …

Real eigenvalue bounds of standard and generalized real interval eigenvalue problems

H Leng - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, we study the real eigenvalue bounds of standard and generalized real interval
eigenvalue problems. Based on some known sufficient conditions for the regularity of …

Type-2 fuzzy linear eigenvalue problems with application in dynamic structures

D Mohapatra, S Chakraverty - Soft Computing in Interdisciplinary Sciences, 2022 - Springer
In this chapter, uncertain linear eigenvalue problems are solved, where vagueness is taken
as type-2 fuzzy numbers. Triangular perfect quasi type-2 fuzzy numbers (triangular perfect …

Filtering algorithm for real eigenvalue bounds of interval and fuzzy generalized eigenvalue problems

NR Mahato, S Chakraverty - … -ASME Journal of …, 2016 - asmedigitalcollection.asme.org
This paper deals with an interval and fuzzy generalized eigenvalue problem involving
uncertain parameters. Based on a sufficient regularity condition for intervals, an interval …

On the efficient Gerschgorin inclusion usage in the global optimization method

M Hladík - Journal of Global Optimization, 2015 - Springer
In this paper, we revisit the α α BB method for solving global optimization problems. We
investigate optimality of the scaling vector used in Gerschgorin's inclusion theorem to …