Results 51 to 60 of about 640 (203)
Regularization by Global DGMRES Method for Ill‐Posed Matrix Equation AXB = G
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.In this article, we deal with the solution of the linear, large‐size, and ill‐posed matrix equation AXB = G, whose matrix G is contaminated with noise. We apply Tikhonov regularization in combination with the Gl‐DGMRES method to mitigate the effect of noise.
Vahid Hosseinabadi +2 more
wiley +1 more source
A generalized Drazin inverse [PDF]
Glasgow Mathematical Journal, 1996 The main theme of this paper can be described as a study of the Drazin inverse for bounded linear operators in a Banach spaceXwhen 0 is an isolated spectral point ofthe operator. This inverse is useful for instance in the solution of differential equations formulated in a Banach spaceX.
openaire +1 more source
General Algebraic Solutions of Fuzzy Dual Number Linear Systems
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we define fuzzy dual number linear systems (FDLSs) expressed as CZ˜=W˜, where C represents a crisp dual number matrix and W˜ denotes a fuzzy dual number vector. Our study focuses on three primary objectives. First, we obtain the existence of strong fuzzy solutions to the FDLS by analyzing the CMP inverse of coefficient matrix. Second, we
Hongjie Jiang +3 more
wiley +1 more source
Journal of Applied Science and EngineeringThis study aims to investigate the realm of operator theory related to Fuzzy Soft Theory. Based on fuzzy soft Hilbert spaces, a novel formula of fuzzy soft quasi-hyponormal operator via a technique of fuzzy soft Drazin inverse named the fuzzy soft n ...
Salim Dawood Mohsen, Zaid Rajih Hamza
doaj +1 more source
The representation and approximation for Drazin inverse
, 2000 We present a unified representation theorem for Drazin inverse. Specific expression and computational procedures for Drazin inverse can be uniformly derived.
Hebing Wu +3 more
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Journal of Geophysical Research: Atmospheres, Volume 130, Issue 22, 28 November 2025.Abstract We present the long‐term trends of the Arctic stratospheric polar vortex (SPV) using the Modern Era Retrospective Research analysis for Research and Application‐2 (MERRA‐2) reanalysis data, and assess its impact on the mesosphere and lower thermosphere (MLT) using Specified Dynamics Whole Atmosphere Community Climate Model with thermosphere ...
Sunil Kumar +4 more
wiley +1 more source
On Drazin inverse of operator matrices
, 2011 In this short paper, we offer (another) formula for the Drazin inverse of an operator matrix for which certain products of the entries vanish.
Aleksandar S. Cvetković +3 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8806-8817, 30 May 2025.ABSTRACT In this paper, we propose a new parametric family of iterative schemes to compute the inverse of a complex nonsingular matrix. It is shown that the members of this family have at least a fourth order of convergence. A particular element of the class is extended to approximate the Moore–Penrose inverse of rectangular complex matrices, keeping ...
Alicia Cordero +3 more
wiley +1 more source
Block representations for the Drazin inverse of anti-triangular matrices
, 2016 The paper is devoted to the study of the Drazin inverse of some structured matrices that appear in applications. We focus mainly on deriving formulas for the Drazin inverse of an anti-triangular block matrix M in terms of its blocks.
E. Dopazo +2 more
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Spectral sets and the Drazin inverse with applications to second order differential equations [PDF]
, 2002 summary:The paper defines and studies the Drazin inverse for a closed linear operator $A$ in a Banach space $X$ in the case that $0$ belongs to a spectral set of the spectrum of $A$.
Tran, Trung Dinh
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