Using Random Butterfly Transformations in Parallel Schur Complement-Based Preconditioning [PDF]
Marc Baboulin +2 more
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Schur complement dominant operator matrices
46 ...
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What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion
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
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A Schur Complement Cheeger Inequality
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.
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Optimization Problems of Hermitian Quadratic Matrix-Valued Functions and Applications
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
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Mesh-free high-resolution simulation of cerebrocortical oxygen supply with fast Fourier preconditioning. [PDF]
Ventimiglia T, Linninger AA.
europepmc +1 more source
Hybrid Cramér-Rao Bound for Quantum Bayes Point Estimation with Nuisance Parameters. [PDF]
Zhang J, Suzuki J.
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Use of an anatomical atlas in real-time EIT reconstructions of ventilation and pulsatile perfusion in preterm infants. [PDF]
Rocheleau CJ +7 more
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Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]
Benková K, Pearson JW, Ptashnyk M.
europepmc +1 more source
Factorization norms and an inverse theorem for MaxCut. [PDF]
Balla I, Hambardzumyan L, Tomon I.
europepmc +1 more source

