Editorial for "MRI Diffusion Tensor Image Analysis Along the Perivascular Space: Effects of Mean Tract Orientation Divergence". [PDF]
Nakamichi R, Taoka T, Naganawa S.
europepmc +1 more source
Decoupling Size from Shape: Cellular Sheaf Laplacians as Ligand Geometry Descriptors for Binding Affinity Prediction. [PDF]
Akgüller Ö, Balcı MA, Cioca G.
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An Adaptive Detection Algorithm for Non-Uniform Sea Clutter Background Targets Based on Iterative Weighting and Sample Purification. [PDF]
Su H, Zhang L, Zhao C, Li K.
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Predicting instabilities in transient landforms and interconnected ecosystems. [PDF]
Smith T, Morr A, Bookhagen B, Boers N.
europepmc +1 more source
Compact dual-slot antenna with enhanced bandwidth for multi-band wireless and satellite systems. [PDF]
Shivakumar BR, Pallavi M.
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Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem [PDF]
To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is proposed, which removes the requirements of the positive definiteness of bilinear forms in the formulation of eigenvalue problems.
Hehu Xie, Xuefeng Liu
exaly +4 more sources
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Summary: We study optimization problems involving eigenvalues of symmetric matrices. One of the difficulties with numerical analysis of such problems is that the eigenvalues, considered as functions of a symmetric matrix, are not differentiable at those points where they coalesce. We present a general framework for a smooth (differentiable) approach to
Alexander Shapiro 0001 +1 more
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On the higher eigenvalues for the $\infty$ -eigenvalue problem
Calculus of Variations and Partial Differential Equations, 2005The authors consider a nonlinear eigenvalue problem associated with a limiting version of the \(p\)-Laplacian for \(p=\infty\). Namely, if \(\Omega\) is an open subset of \(\mathbb R^n\), \(S_{n\times n}\) is the set of \(n\times n\) real symmetric matrices with real entries, the authors consider the nonlinear problem \( F_{\Lambda}(u,Du,D^2u)=0\) in \(
Juutinen, Petri, Lindqvist, Peter
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Product Eigenvalue Problems [PDF]
Summary: Many eigenvalue problems are most naturally viewed as product eigenvalue problems. The eigenvalues of a matrix \(A\) are wanted, but \(A\) is not given explicitly. Instead it is presented as a product of several factors: \(A = A_{k}A_{k-1}\dots A_{1}\). Usually more accurate results are obtained by working with the factors rather than forming \
David S Watkins
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