A novel extended Li zeroing neural network for matrix inversion

D Gerontitis, C Mo, PS Stanimirović, P Tzekis… - Neural Computing and …, 2023 - Springer
An improved activation function, termed extended sign-bi-power (Esbp), is proposed. An
extension of the Li zeroing neural network (ELi-ZNN) based on the Esbp activation is …

Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal–Lucas numbers

D Bozkurt, TY Tam - Applied Mathematics and Computation, 2012 - Elsevier
Let n⩾ 3 and let Jn≔ circ (J1, J2,…, Jn) and jn≔ circ (j0, j1,…, jn-1) be the n× n circulant
matrices associated with the Jacobsthal numbers J1,…, Jn and the Jacobsthal–Lucas …

On methods employing auxiliary sources for 2-D electromagnetic scattering by noncircular shapes

NL Tsitsas, GP Zouros, G Fikioris… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Methods employing auxiliary sources are applied to electromagnetic scattering problems by
2-D noncircular scatterers. Specific cases are considered for which the singularities of the …

Baseline desensitizing in translation averaging

B Zhuang, LF Cheong, GH Lee - Proceedings of the IEEE …, 2018 - openaccess.thecvf.com
Many existing translation averaging algorithms are either sensitive to disparate camera
baselines and have to rely on extensive preprocessing to improve the observed Epipolar …

Matrix decomposition algorithms for elliptic boundary value problems: a survey

B Bialecki, G Fairweather, A Karageorghis - Numerical algorithms, 2011 - Springer
We provide an overview of matrix decomposition algorithms (MDAs) for the solution of
systems of linear equations arising when various discretization techniques are applied in the …

Convergence analysis of the currents and fields involved in the method of auxiliary sources applied to scattering by PEC cylinders

M Kouroublakis, NL Tsitsas… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The method of auxiliary sources (MAS) is an established technique for the numerical
solution of electromagnetic shielding and scattering problems exhibiting an increasing …

A parallel algorithm for the inversion of matrices with simultaneously diagonalizable blocks

DS Lazaridis, KA Draziotis, NL Tsitsas - Computers & Mathematics with …, 2024 - Elsevier
Block matrices with simultaneously diagonalizable blocks arise in diverse application areas,
including, eg, numerical methods for engineering based on partial differential equations as …

On block matrices associated with discrete trigonometric transforms and their use in the theory of wave propagation

NL Tsitsas - Journal of Computational Mathematics, 2010 - JSTOR
Block matrices associated with discrete Trigonometric transforms (DTT's) arise in the
mathematical modelling of several applications of wave propagation theory including …

Memory-usage advantageous block recursive matrix inverse

ICS Cosme, IF Fernandes, JL de Carvalho… - Applied Mathematics …, 2018 - Elsevier
The inversion of extremely high order matrices has been a challenging task because of the
limited processing and memory capacity of conventional computers. In a scenario in which …

Parallel boundary element solutions of block circulant linear systems for acoustic radiation problems with rotationally symmetric boundary surfaces

KD Czuprynski, JB Fahnline… - Noise Control and …, 2012 - asmedigitalcollection.asme.org
We propose a distributed parallel algorithm for the solution of block circulant linear systems
arising from acoustic radiation problems with rotationally symmetric boundary surfaces …