Results 101 to 110 of about 1,444 (195)

Using Random Butterfly Transformations in Parallel Schur Complement-Based Preconditioning [PDF]

open access: yesAnnals of computer science and information systems, 2015
Marc Baboulin   +2 more
doaj   +1 more source

What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion

open access: yesSpecial Matrices
We introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
doaj   +1 more source

A Schur Complement Cheeger Inequality

open access: yes, 2018
Cheeger's inequality shows that any undirected graph $G$ with minimum nonzero normalized Laplacian eigenvalue $ _G$ has a cut with conductance at most $O(\sqrt{ _G})$. Qualitatively, Cheeger's inequality says that if the relaxation time of a graph is high, there is a cut that certifies this.
openaire   +4 more sources

Optimization Problems of Hermitian Quadratic Matrix-Valued Functions and Applications

open access: yesAxioms
In this paper, we investigate optimization problems for a Hermitian quadratic matrix-valued function involving two variable matrices. We derive algebraic formulas for the maximal and minimal ranks and partial inertias of this function based on a ...
Sihem Guerarra
doaj   +1 more source

Use of an anatomical atlas in real-time EIT reconstructions of ventilation and pulsatile perfusion in preterm infants. [PDF]

open access: yesSci Rep
Rocheleau CJ   +7 more
europepmc   +1 more source

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