Results 41 to 50 of about 12,743 (154)

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

All‐sky assimilation impacts of the Tomorrow.io microwave sounder constellation on global weather forecasts

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Key Findings: An assimilation methodology is established for the Tomorrow.io microwave sounder (TMS) flying on CubeSats in sun‐synchronous and inclined orbits, and in all cloud scenes. The TMS has a significant impact on weather forecast lead times up to 3 days in the Tropics in a research‐quality numerical weather prediction setting, and yields water ...
Jonathan J. Guerrette, Ryan Honeyager, Stephen Joseph Munchak, Xiaoxu Tian   +3 more
wiley   +1 more source

Fast Algorithms for Displacement and Low-Rank Structured Matrices

, 2018
This tutorial provides an introduction to the development of fast matrix algorithms based on the notions of displacement and various low-rank ...
Chandrasekaran Shivkumar, Chandrasekaran Shivkumar, Dewilde Patrick, Sheng Zhifeng   +3 more
core   +1 more source

Generalization of the Sherman–Morrison–Woodbury formula involving the Schur complement [PDF]

Applied Mathematics and Computation, 2017
Let $X\in\mathbb{C}^{m\times m}$ and $Y\in\mathbb{C}^{n\times n}$ be nonsingular matrices, and let $N\in\mathbb{C}^{m\times n}$. Explicit expressions for the Moore-Penrose inverses of $M=XNY$ and a two-by-two block matrix, under appropriate conditions, have been established by Castro-Gonz lez et al. [Linear Algebra Appl. 471 (2015) 353-368].
openaire   +3 more sources

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

Optimization Problems of Hermitian Quadratic Matrix-Valued Functions and Applications

Axioms
In this paper, we investigate optimization problems for a Hermitian quadratic matrix-valued function involving two variable matrices. We derive algebraic formulas for the maximal and minimal ranks and partial inertias of this function based on a ...
Sihem Guerarra
doaj   +1 more source

Dynamic Resource Allocation Optimisation and Security‐Resilient Control for Bandwidth‐Limited Network Control Systems With Data Conflicts

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Networked control systems (NCSs) often suffer from performance degradation due to limited communication bandwidth, which can cause data transmission conflicts and packet loss. Existing scheduling strategies may fail to simultaneously meet the real‐time requirements and the importance of multisensor data, and they are particularly vulnerable ...
Da Chen, Kaibo Shi, Bin Guo, Kangkang Sun, Huaicheng Yan, Xiao Cai   +5 more
wiley   +1 more source

Grassmann-Gaussian integrals and generalized star products

, 2009
In quantum scattering on networks there is a non-linear composition rule for on-shell scattering matrices which serves as a replacement for the multiplicative rule of transfer matrices valid in other physical contexts.
Ara Sedrakyan, Bellazzini B, Bellazzini B, Berezin F A, Berkolaiko G, Chalker J, Datta S, de Bianchi M S, Dorokhov O N, Dorokhov O N, Exner P, Gill P E, Itzykson C, Kostrykin V, Kostrykin V Schrader R, Ragoucy E, Redheffer R, Redheffer R, Robert Schrader, Sedrakyan A, Shahane Khachatryan, Stone A D, Weinberg S   +22 more
core   +1 more source

Mitigating Disability Bias in Hiring: The Role of Inclusion‐Focused Generative AI in Complex HR Decisions

Human Resource Management Journal, EarlyView.
ABSTRACT This research investigates how inclusion‐focused generative AI (GAI), designed with diversity, fairness, and inclusion principles, mitigates disability bias in hiring—particularly under complex, cognitively demanding conditions. Drawing on Construal Level Theory, two experiments with HR professionals (N = 117; 238) compared standard, inclusion‐
Miles M. Yang
wiley   +1 more source

Some Preconditioning Techniques for Saddle Point Problems [PDF]

, 2006
Saddle point problems arise frequently in many applications in science and engineering, including constrained optimization, mixed finite element formulations of partial differential equations, circuit analysis, and so forth.
Benzi, Michele, Wathen, A. J.
core   +1 more source