Results 91 to 100 of about 615,027 (289)

A relational-theoretic approach to get solution of nonlinear matrix equations

Journal of Inequalities and Applications, 2022
In this study, we consider a nonlinear matrix equation of the form X = Q + ∑ i = 1 m A i ∗ G ( X ) A i $\mathcal{X}= \mathcal{Q} + \sum_{i=1}^{m} \mathcal{A}_{i}^{*} \mathcal{G} (\mathcal{X})\mathcal{A}_{i}$ , where Q $\mathcal{Q}$ is a Hermitian ...
Hemant Kumar Nashine, Reena Jain, Vahid Parvaneh   +2 more
doaj   +1 more source

Some inequalities for the nonlinear matrix equations [PDF]

Mathematical Inequalities & Applications, 2013
The nonlinear matrix equations X ±A∗X−1A = Q have many applications in control theory, dynamic programming and statistics. In the present work, by using some related matrix equalities and linear algebraic techniques, we propose some trace and determinant inequalities for the solution of the above nonlinear matrix equations.
openaire   +1 more source

Intermolecular Interactions as Driving Force of Increasing Multiphoton Absorption in a Perylene Diimide‐Based Coordination Polymer

Advanced Functional Materials, EarlyView.
This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger, Anna Mauri, Yang Cui, Sebastian Josef Weishäupl, Ali Deniz Özdemir, Hamad Syed, Aleksandr Ovsianikov, Wolfgang Wenzel, Alexander Pöthig, Jürgen Hauer, Mariana Kozlowska, Roland Augustinus Fischer   +11 more
wiley   +1 more source

NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

Наука. Инновации. Технологии, 2022
Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya, Olesya Borisovna Surneva   +1 more
doaj  

Density Matrix Renormalization for Model Reduction in Nonlinear Dynamics

, 2007
We present a novel approach for model reduction of nonlinear dynamical systems based on proper orthogonal decomposition (POD). Our method, derived from Density Matrix Renormalization Group (DMRG), provides a significant reduction in computational effort ...
A. C. Antoulas, C. W. Rowley, C. W. Rowley, G. Berkooz, G. H. Golub, J. D. Murray, J. M. Burgers, L. Sirovich, Thorsten Bogner, W. H. Press   +9 more
core   +1 more source

On‐Surface Indigo‐Based Bimolecular Coordination Networks with Programmable Regular or Vitreous Structure

Advanced Functional Materials, EarlyView.
A previously unreported coordination motif stabilising single Fe atoms by indigo chelation and pyridyl coordination on Au(111) has been revealed. By using planar tritopic pyridyl linkers (TPyB), extended 2D porous networks of indigo3(TPyB)2Fe6 form. These networks can be crystalline or vitreous and offer an environment where individual coordination ...
Hongxiang Xu, Ritam Chakraborty, Biao Yang, Dennis Meier, Joachim Reichert, Svetlana Klyatskaya, Mario Ruben, Shobhana Narasimhan, Johannes V. Barth, Anthoula C. Papageorgiou   +9 more
wiley   +1 more source

3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries

Advanced Functional Materials, EarlyView.
Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling, Haoran Wang, Pan Yang, Rishav Agrawal, Alex R. Neale, Laurence J. Hardwick, Tom Hasell, Esther García‐Tuñón   +7 more
wiley   +1 more source

Description of spin transport and precession in spin-orbit coupling systems and a general equation of continuity

, 2007
By generalizing the usual current density to a matrix with respect to spin variables, a general equation of continuity satisfied by the density matrix and current density matrix has been derived.
Chengshi Liu, E. I. Rahsba, E. I. Rahsba, E. I. Rashba, H. Haug, Hua-Tong Yang, L. P. Kadanoff, M. I. D’yakonov, M. I. D’yakonov, Y. Kato   +9 more
core   +1 more source

Circular‐Polarization‐Sensitive Organic Photodetectors with a Chiral Nanopatterned Electrode Inverse‐Designed by Genetic Algorithm

Advanced Functional Materials, EarlyView.
A chiral photodetector capable of selectively distinguishing left‐ and right‐handed circularly polarized light is experimentally demonstrated. The device, which features a nanopatterned electrode inverse‐designed by a genetic algorithm within a metal–dielectric–metal nanocavity that incorporates a vacuum‐deposited small‐molecule multilayer, exhibits ...
Kyung Ryoul Park, Jewoong Lee, In‐Suk Choi, Changsoon Kim   +3 more
wiley   +1 more source

Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms

Open Physics, 2015
The solutions of the reaction-diffusion system are given by method of collocation based on the exponential B-splines. Thus the reaction-diffusion systemturns into an iterative banded algebraic matrix equation.
Ersoy Ozlem, Dag Idris
doaj   +1 more source