Results 71 to 80 of about 429,197 (329)

Positive definite collections of disks

open access: yes, 2006
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]

open access: yesProceedings of the American Mathematical Society, 1998
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

open access: yesAdvanced Science, EarlyView.
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

open access: yes, 2004
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

open access: yesLinear Algebra and its Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Zhi-Hao, Liu, Zhong-Yun
openaire   +1 more source

Liver Stiffness Rises Early in MASLD and Drives Inflammation, Lipid Dysmetabolism, and Fibrosis via Piezo1–YAP Mechanotransduction

open access: yesAdvanced Science, EarlyView.
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

open access: yes, 2015
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

Precision‐Engineered Silver Single‐Atom Carbon Dot Nanozymes for Theranostic Management of Acute Kidney Injury

open access: yesAdvanced Science, EarlyView.
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

open access: yes, 2009
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

open access: yesThe Scientific World Journal, 2014
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

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