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Positive definite collections of disks
Let $Q(z,w)=-\prod_{k=1}^n [(z-a_k)(\bar{w}-\bar{a}_k)-R_k^2]$. M. Putinar and B. Gustafsson proved recently that the matrix $Q(a_i,a_j)$, $1\leq i,j\leq n$, is positive definite if disks $|z-a_i|
Tkachev, Vladimir
core +1 more source
Mitochondria‐targeted silver single‐atom carbon dot (T‐AgSA‐CDs) nanozymes enable dual SOD/GPx‐like ROS scavenging, real‐time imaging, and therapeutic effects for acute kidney injury (AKI). Atomically dispersed Ag sites synergize with carbon dots to restore renal redox hemostasis, protect mitochondrial function, mitigate inflammation, facilitate post ...
Tianle Tang +10 more
wiley +1 more source
A fast, preconditioned conjugate gradient Toeplitz solver [PDF]
A simple factorization is given of an arbitrary hermitian, positive definite matrix in which the factors are well-conditioned, hermitian, and positive definite.
Pan, Victor, Schrieber, Robert
core +1 more source
A synergistic antibiofilm hydrogel platform (ZBAg@FNP) is developed by encapsulating an organic small‐molecule photothermal agent (FNP) within a silver ion‐mediated supramolecular hydrogel (ZBAg), enabling photothermal disruption of biofilm integrity and controlled Ag⁺ ion release upon irradiation.
Yinghui Wen +8 more
wiley +1 more source
Positive definiteness: from scalar to operator-valued kernels [PDF]
In this paper we present a short overview of results that provide relationships among scalar, matrix-valued and certain operator-valued positive definite kernels.
V. A. Menegatto
doaj
This graphical abstract emphasizes the working principle and the various essential factors of the direct methanol fuel cell (DMFCs). Additionally, various parameters, such as the nanoparticle's size and shape, the nature of the electrolyte, the type of support materials, and their fabrication process, also play essential roles in the functioning of the
Kirti Mishra +3 more
wiley +1 more source
Positive-Definite Matrix Processes of Finite Variation
Processes of finite variation, which take values in the positive semidefinite matrices and are representable as the sum of an integral with respect to time and one with respect to an extended Poisson random measure, are considered. For such processes we derive conditions for the square root (and the r-th power with 0 < r < 1) to be of finite ...
Barndorff-Nielsen, Ole Eiler +1 more
openaire +4 more sources
Iterative Algorithm for Solving a System of Nonlinear Matrix Equations
We discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive ...
Asmaa M. Al-Dubiban
doaj +1 more source
Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai +3 more
wiley +1 more source

