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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
Stieltjes moment sequences and positive definite matrix sequences [PDF]
For a certain constant δ > 0 \delta >0 (a little less than 1 / 4 1/4 ), every function f : N 0 → ] 0 , ∞ [ f\colon \mathbb {N}_0\to ]
openaire +2 more sources
Experimental Joint Estimation of Phase and Phase Diffusion Via Deterministic Bell Measurements
This work employs Bell measurement, a form of entangling measurement, to estimate both the phase and its fluctuations in an optical interferometer. By incorporating a novel quantum effect at the measurement stage, the proposed method achieves the ultimate precision limit and demonstrates the significant potential of entangling measurements in multi ...
Ben Wang +4 more
wiley +1 more source
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
Symmetric multisplitting of a symmetric positive definite matrix
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Cao, Zhi-Hao, Liu, Zhong-Yun
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Progressive stiffening of the hepatic extracellular matrix and free fatty acid overload activate the mechanosensor Piezo1 in steatotic hepatocytes, inducing calcium influx and nuclear translocation of Yes‐associated protein. YAP‐dependent nuclear signaling further drives inflammatory and fibrotic gene programs, lipid metabolic reprogramming, and ...
Juan Ma +15 more
wiley +1 more source
Geometrical inverse preconditioning for symmetric positive definite matrices
We focus on inverse preconditioners based on minimizing $F(X) = 1-\cos(XA,I)$, where $XA$ is the preconditioned matrix and $A$ is symmetric and positive definite.
Chehab, Jean-Paul, Raydan, Marcos
core +3 more sources
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
Remarks on the $\alpha$--permanent
We recall Vere-Jones's definition of the $\alpha$--permanent and describe the connection between the (1/2)--permanent and the hafnian. We establish expansion formulae for the $\alpha$--permanent in terms of partitions of the index set, and we use these ...
Frenkel, Péter E.
core +2 more sources
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

