Results 81 to 90 of about 1,444 (195)

The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin, Simon Byrne, Charles Kawczynski, Sriharsha Kandala, Gabriele Bozzola, Akshay Sridhar, Zhaoyi Shen, Anna Jaruga, Julia Sloan, Jia He, Daniel Zhengyu Huang, Valeria Barra, Ray Chew, Anudhyan Boral, Yi‐fan Chen, Oswald Knoth, Paul Ullrich, Cheikh Mbengue, Tapio Schneider   +18 more
wiley   +1 more source

The Forward Order Law for Least Squareg-Inverse of Multiple Matrix Products

Mathematics, 2019
The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws ...
Zhiping Xiong, Zhongshan Liu
doaj   +1 more source

Deep‐learning methods for contrast enhancement and artifact reduction in cryo‐electron tomography: a systematic analysis of the state of the art and proposed improvements

Acta Crystallographica Section D, Volume 82, Issue 3, Page 168-186, March 2026.
Cryo‐ET is a rapidly emerging technique that enables 3D visualization of complex biological structures, but present limits on signal‐to‐noise ratio and reconstruction quality pose challenges for downstream analysis. Here, we present a systematic analysis of state‐of‐the‐art deep‐learning methods for contrast enhancement and propose improvements in ...
Henry N. Jones, Aneesh Deshmukh, Kanupriya Pande   +2 more
wiley   +1 more source

Some inequalities on generalized Schur complements

Linear Algebra and its Applications, 1999
Let \(A=[A_{ij}]\) denote a block matrix of order two with square diagonal blocks. The generalized Schur complement \(S_1(A)\) of \(A_{11}\) is defined by \(S_1(A)=A_{22} -A_{21}A^+_{11} A_{12}\) where \(A^+_{11}\) denotes the Moore-Penrose pseudoinverse of \(A_{11}\) so that \(S_1(A)\) is defined also for singular matrices. For a Hermitian matrix \(A\)
Wang, Bo-Ying, Zhang, Xiuping, Zhang, Fuzhen   +2 more
openaire   +1 more source

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Approximate Schur Complement Preconditioners for Half-Quadratic Image Restoration With Zero Boundary Conditions

Journal of Mathematics
In this paper, the additive half-quadratic image restoration problem with zero boundary conditions is investigated. The Newton method is used to solve this problem and a structured linear system needs solving at each step.
Chaojie Wang, Shuen Sun, Jie Chen, Biling Liu   +3 more
doaj   +1 more source

What are Schur complements, anyway?

Linear Algebra and its Applications, 1986
This paper treats the Schur complement of a partitioned matrix whose use goes back more than 130 years. It shows how several modern manifestations of this concept can be viewed in a unified way. Classically, Schur complements can be used to determine the rank of partitioned matrices.
openaire   +1 more source

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

Ranks of a Constrained Hermitian Matrix Expression with Applications

Journal of Applied Mathematics, 2013
We establish the formulas of the maximal and minimal ranks of the quaternion Hermitian matrix expression C4−A4XA4∗ where X is a Hermitian solution to quaternion matrix equations A1X=C1, XB1=C2, and A3XA3*=C3.
Shao-Wen Yu
doaj   +1 more source

On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source