Results 41 to 50 of about 146 (131)

Minimal Solution of Singular LR Fuzzy Linear Systems

The Scientific World Journal, 2014
In this paper, the singular LR fuzzy linear system is introduced. Such systems are divided into two parts: singular consistent LR fuzzy linear systems and singular inconsistent LR fuzzy linear systems.
M. Nikuie, M. Z. Ahmad
doaj   +1 more source

Characteristics of Antarctic Stratospheric Variability During Winter: A Case Study of the 2024 Sudden Stratospheric Warming and Its Surface Impacts

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 1, 16 January 2026.
Abstract In mid‐winter 2024, extraordinary stratospheric warming occurred over the sub‐Antarctic region with two distinctive warming maxima in mid‐July to early August, followed by record negative anomalies in the southern annular mode (SAM) during late July to early August.
Eun‐Pa Lim, David W. J. Thompson, Amy H. Butler, Matthew C. Wheeler, Hisashi Nakamura, Martin Jucker, Julie M. Arblaster, Harry H. Hendon, Paul A. Newman, Lawrence Coy   +9 more
wiley   +1 more source

The Drazin inverse as a gradient

Linear Algebra and its Applications, 1984
If A is an invertible \(n\times n\) matrix, X an \(n\times n\) matrix variable, and \(| X| =\det X\), then \(\ell n | X|\) is differentiable near A and \(\nabla_ x\) \(\ell n | X|\) at \(X=A\) is \((A^{-1})^ T\). This paper examines various analogues and related questions for the Drazin inverse \(A^ d\).
Gabriel, Richard, Hartwig, Robert E.
openaire   +2 more sources

On the β$$ \beta $$‐effect in the baroclinic instability of a continuously stratified atmosphere

Quarterly Journal of the Royal Meteorological Society, Volume 152, Issue 774, January 2026 Part A.
We solve the quasi‐geostrophic equation numerically to analyze baroclinic instability in a continuously stratified atmosphere. On the β$$ \beta $$‐plane, deviations from classical models alter instability growth rates and modal structures, leading to the emergence of unstable lobes and a stable region at very large wavelengths.
Juan Vázquez Portillo, Antonio Segalini
wiley   +1 more source

Application Investigation of Quasi Drazin Inverse Hyponormal Operators within the Framework of Fuzzy Soft Set Theory in Hilbert Space

Journal of Applied Science and Engineering
This 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

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, Hossein Sadeghi Goughery, Mahnoor Sarfraz   +2 more
wiley   +1 more source

Applying Dual Core‐EP Inverse to Give General Strong Fuzzy Solutions of Complex Dual Fuzzy Matrix Equation

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we define the complex dual fuzzy matrix equation and solve it based on the study of the dual core‐EP inverse. First, we define the complex dual fuzzy matrix equation. Second, by characterizing some properties of the dual core‐EP inverse, we get the block structure of the dual core‐EP inverse corresponding to the coefficient matrix of the
Hongjie Jiang, Jiaying Zhu, Xianchun Meng, Le Anh Tuan   +3 more
wiley   +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, Pengcheng Xiao, Xiaoji Liu, Mohammad Rezwan Habib   +3 more
wiley   +1 more source

The Explicit Expression of the Drazin Inverse and Its Application

Journal of Applied Mathematics, 2013
We give explicit expressions of (P±Q)d of two matrices P and Q, in terms of P, Q, Pd, and Qd, (P±I)d, under the condition that PQ=P, and apply the result to finding an explicit representation for the Drazin inverse of some 2×2 block matrix.
Xiaoji Liu, Shaowu Huang, Liang Xu, Yaoming Yu   +3 more
doaj   +1 more source

Linking Long‐Term Arctic Surface Variability and Changes in the Stratosphere, Mesosphere, and Lower Thermosphere

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, Jens Oberheide, Jiarong Zhang, Nicholas M. Pedatella, Xian Lu   +4 more
wiley   +1 more source