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