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Strictly Hermitian Positive Definite Functions
Let H be any complex inner product space with inner product . We say that f : C -->C is Hermitian positive definite on H if the matrix $$(f())_{r,s=1}^n \eqno(*)$$ is Hermitian positive definite for all choice of z^1,...,z^n in H, all n.
Pinkus, Allan
core +4 more sources
In superficial second‐degree burn wounds, Gb3 turns on genes related to papillary cells through the FGF2 signaling pathway. This increases the ability of cells to break down fibrin and decreases fibrosis, which ultimately prevents scar formation in burn injuries.
Sujie Xie +13 more
wiley +1 more source
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
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
Three‐dimensional WO3 nanosheets (3D‐NS) with exposed {001} facets are grown in situ, forming a highly interconnected 3D architecture, which is sensitized with a polymeric perylene bisimide layer and test for HBr photooxidation. The self‐assembly of a quantasome architecture—based on perylene bisimide dyes, templated around a tetra‐ruthenated ...
Jintao Liu +6 more
wiley +1 more source
On the matrix square root via geometric optimization
This paper is triggered by the preprint "\emph{Computing Matrix Squareroot via Non Convex Local Search}" by Jain et al. (\textit{\textcolor{blue}{arXiv:1507.05854}}), which analyzes gradient-descent for computing the square root of a positive definite ...
Sra, Suvrit
core +2 more sources
Through precise molar ratio control of o‐phenylenediamine and phytic acid, we prepare tricolor carbon dots with high quantum yields. Their superior optical properties enable the development of tunable LEDs (3033–5493 K), luminescent solar concentrators, and an innovative self‐powered integrated photovoltaic system.
Bin Liu +6 more
wiley +1 more source
An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation
A new iterative scheme has been constructed for finding minimal solution of a rational matrix equation of the form X+A*X-1A=I. The new method is inversion-free per computing step.
Fazlollah Soleymani +4 more
doaj +1 more source
Positive Semidefiniteness and Positive Definiteness of a Linear Parametric Interval Matrix
We consider a symmetric matrix, the entries of which depend linearly on some parameters. The domains of the parameters are compact real intervals. We investigate the problem of checking whether for each (or some) setting of the parameters, the matrix is ...
A Neumaier +30 more
core +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

