Results 61 to 70 of about 554,064 (360)

On The Positive Definite Solutions Of Nonlinear Matrix Equation

, 2013
In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case r>-δi are discussed. An algorithm that avoids matrix inversion with the case -1<-δi<0 is proposed.
Baoguang, Tian, Chunyan, Liang, And Chen Nan   +2 more
openaire   +1 more source

Cell Calcification Models and Their Implications for Medicine and Biomaterial Research

Advanced Healthcare Materials, EarlyView.
Calcification, is the process by which the tissues containing minerals are formed, occurring during normal physiological processes, or in pathological conditions. Here, it is aimed to give a comprehensive overview of the range of cell models available, and the approaches taken by these models, highlighting when and how methodological divergences arise,
Luke Hunter, Caterina Vanelli Coralli, Robert Dzhanaev, Aaron Morgan, Willi Jahnen‐Dechent, Sergio Bertazzo   +5 more
wiley   +1 more source

Explicit solutions to correlation matrix completion problems, with an application to risk management and insurance [PDF]

Royal Society Open Science, 2018
We derive explicit solutions to the problem of completing a partially specified correlation matrix. Our results apply to several block structures for the unspecified entries that arise in insurance and risk management, where an insurance company with ...
Dan I. Georgescu, Nicholas J. Higham, Gareth W. Peters   +2 more
doaj   +1 more source

Recent Advances in Heterogeneous Frustrated Lewis Pair: Synthesis, Characterization, and Catalysis

Advanced Materials, EarlyView.
This review provides a concise analysis of heterogeneous frustrated Lewis pair (FLP) chemistry, focusing on their synthesis, characterization, and application in small‐molecule activation. It highlights current challenges in developing solid FLP systems and explores promising advancements through emerging technologies, offering critical insights into ...
Jiasi Li, Shik Chi Edman Tsang, Guangchao Li   +2 more
wiley   +1 more source

Diagonality Measures of Hermitian Positive-Definite Matrices with Application to the Approximate Joint Diagonalization Problem

, 2016
In this paper, we introduce properly-invariant diagonality measures of Hermitian positive-definite matrices. These diagonality measures are defined as distances or divergences between a given positive-definite matrix and its diagonal part.
Alyani, Khaled, Congedo, Marco, Moakher, Maher   +2 more
core   +2 more sources

Néel Tensor Torque in Polycrystalline Antiferromagnets

Advanced Materials, EarlyView.
This work introduces a Néel tensor torque based on a rank‐two symmetric tensor capturing spin correlations in a polycrystalline antiferromagnet. It shows the Néel tensor can be shaped and reshaped through the spin‐orbit torque (SOT) technique, enabling field‐free SOT switching with a specific polarity of the adjacent ferromagnet. This discovery opens a
Chao‐Yao Yang, Sheng‐Huai Chen, Chih‐Hsiang Tseng, Hsiu‐Hau Lin, Chih‐Huang Lai   +4 more
wiley   +1 more source

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Positive definite solutions of certain nonlinear matrix equations

, 2016
We investigate positive definite solutions of nonlinear matrix equations X− f (Φ(X))= Q and X −∑i=1 f (Φi(X)) = Q , where Q is a positive definite matrix, Φ and Φi (1 i m) are positive linear maps on Mn(C) and f is a nonnegative matrix monotone or matrix
Z. Mousavi, F. Mirzapour, M. Moslehian
semanticscholar   +1 more source

Unveiling the Electrolyte and Solid Electrolyte Interphase in Sodium Ion Batteries: Mechanisms, Progress, and Perspectives

Advanced Materials, EarlyView.
This review summarizes the recent advances in sodium‐ion battery electrolytes (including organic, aqueous, gel, ionic liquid, and solid‐state types) and their influence on the solid electrolyte interphase (SEI). It discusses SEI formation, aging, and optimization, as well as cases where no SEI forms, providing insights into the critical relationship ...
Meng Li, Chengzhi Sun, Ruoqi Zhang, Man Qi, Zeen Wu, Xin Zhang, Yu Zhang, Jiayin Yuan, Naiqing Zhang   +8 more
wiley   +1 more source

The common Re-nonnegative definite and Re-positive definite solutions to the matrix equations $ A_1XA_1^\ast = C_1 $ and $ A_2XA_2^\ast = C_2 $

AIMS Mathematics, 2022
In this paper, we consider the common Re-nonnegative definite (Re-nnd) and Re-positive definite (Re-pd) solutions to a pair of linear matrix equations $ A_1XA_1^\ast = C_1, \ A_2XA_2^\ast = C_2 $ and present some necessary and sufficient conditions for ...
Yinlan Chen, Lina Liu
doaj   +1 more source