S. Sheikhi and H. Esmaeili Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran.Received 25 October, 2024; accepted in revised form 20 February, 2026 Abstract: In this paper, we present a novel inverse-free iterative method to compute the maximal positive definite solution for the matrix equation X + A∗X−1A = I. The proposed […]
Sandor Kristyan Research Centre for Natural Sciences (HUN-REN RCNS),H-1117 Budapest, Magyar Tudósok körútja 2, HungaryPublication Date: 20 December 2025Corresponding author: kristyan.sandor@ttk.mta.hu, kristyan.sandor@ttk.hu Abstract: The self-consistent field (SCF) part of the Hartree–Fock self-consistent field (HF-SCF) method is responsible for finding the ground state as the global minimum of the one-determinant approximation of the electronic energy, which
Pratibha Verma, Wojciech Sumelka Institute of Structural Analysis, Poznan University of Technology,Piotrowo 5 Street, Poznan 60-965, PolandReceived 18 June, 2025; accepted in revised form 30 June, 2025 Abstract: The primary purpose of this work is to study complex-order differential equations. In particular, we explore results involving Hilfer fractional derivatives of complex order. We develop existence
T.D. Le1, a), P. Konecny b), M.B. Lierenfeld c), M. Hornakova b) and P. Lehner b) a) Faculty of Civil Engineering, Saigon Technology University, 180 Cao Lo Str., Ward 4, Dist. 8, Ho Chi Minh City 73018, Vietnam; b) Faculty of Civil Engineering, VSB-Technical University of Ostrava, 708 33 Ostrava-Poruba, Czech Republic c) Valtest AG,
Ibrahim Mohammed Sulaiman1, Mustafa Mamat1* 1Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, 21300 Terengganu, Malaysia corresponding author: *must@unisza.edu.my sulaimanib@unisza.edu.my Submitted 24/07/2019, Revised 13/01/2020, 2nd revised: 11/06/2020, accepted: 09/09/2020 Abstract: The area of unconstrained optimization has been enjoying vivid growth recently, with significant progress on numerical innovative techniques. The classical technique for obtaining the
Date of Online Publication: 02/11/2010 Keywords: Existence results, beam vibration, damping, hybrid model. Abstract: We consider the solvability of a hybrid model for the vibration of a vertical slender structure mounted on an elastic seating. The slender structure is modeled as a Rayleigh beam and gravity is taken into account. The seating and foundation block
Date of Online Publication: 22/12/2006 Keywords: multivariate numerical integration, quadrature, cubature, lattice rules Authors: R. Cools, D. Nuyens Pages: 257-272 An overview is presented of the role played by structured matrices in the construction of lattice rules for numerical integration. Two methods which make use of (skew-)circulant matrices are discussed. The first method is for
V.N. Kovalnogov1,2, T.V. Karpukhina2, M.S. Boyarkin2 1Group of Numerical and Applied Mathematics on Urgent Problems of Energy and Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, Severny Venets Street 32, 432027 Ulyanovsk, Russian Federation 2Department of Heat-and-Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, Severny Venets Street 32, 432027 Ulyanovsk, Russian
R. Boonklurb1, A. Duangpan2 and T. Treeyaprasert3 1,2Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand 3Department of Mathematics and Statistics, Thammasat University, Rangsit Center, Pathumthani 12120, Thailand Received 10 January 2018; accepted in revised form 27 August 2018 Abstract: We propose a modified finite integration method (FIM) by using
Abstract: Algorithm-based computers are programmed, i.e., there must be a set of rules which, a priori, characterize the calculation that is implemented by the computer. Neural computation, based on neural networks, solve problems by learning, they absorb experience, and modify their internal structure in order to accomplish a given task. In the learning process, the