Results 51 to 60 of about 1,759 (181)
A staggered eigensolver based on sparse matrix bidiagonalization
EPJ Web of Conferences, 2018 We present a method for calculating eigenvectors of the staggered Dirac operator based on the Golub-Kahan-Lanczos bidiagonalization algorithm. Instead of using orthogonalization during the bidiagonalization procedure to increase stability, we choose to ...
Osborn James C., Jin Xiao-Yong
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Optimal solution error covariance in highly nonlinear problems of variational data assimilation [PDF]
Nonlinear Processes in Geophysics, 2012 The problem of variational data assimilation (DA) for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition, boundary conditions and/or model parameters.
V. Shutyaev +3 more
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An exciting Approach to Theoretical Spectroscopy
Advanced Science, Volume 13, Issue 47, 24 August 2026.ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno +29 more
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Alzheimer's &Dementia, Volume 22, Issue 8, August 2026.Abstract INTRODUCTION Animal models demonstrated that pharmacologically‐induced lesioning of the locus coeruleus (LC), the brain's primary source of norepinephrine, triggered astrocyte reactivity, exacerbating Alzheimer's disease (AD) pathology and cognitive deficits.
Prokopis C. Prokopiou +11 more
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The methods of Vorobyev and Lanczos
Linear Algebra and its Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Human Brain Mapping, Volume 47, Issue 11, 01 August 2026.We examined the influence of denoising approaches on diagnostic differences in network topology across the Alzheimer's disease continuum. We show that the directionality of the diagnostic differences in network topology, particularly in global metrics of network segregation, can vary based upon the denoising approach employed.
Jenna K. Blujus +2 more
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Detecting When One Probe Vector is Enough for Preconditioned Log‐Determinant Approximation
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT We present randomized algorithms for estimating the log‐determinant of regularized symmetric positive semi‐definite matrices. The algorithms access the matrix only through matrix vector products, and are based on the introduction of a preconditioner and stochastic trace estimator.
Alice Cortinovis, Daniele Toni
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The Use of Restarted Krylov Methods for Large Sparse Least Squares Problems
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT The use of restarted Krylov methods for solving large sparse linear least squares problems suffers from certain inherited difficulties. One of them arises in ill‐conditioned problems, when part of the residual vector is spanned by singular vectors that correspond to small singular values.
Achiya Dax
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Error Curves for Lanczos' "Selected Points" Method [PDF]
The Computer Journal, 1966 Maximum error curves for Lanczos selected point method of polynomial solution to ordinary differential equations, using Chebyshev and Legendre ...
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Nonlinear Kinematic Depth Inversion Coupled With a Spectral Wave Model
Journal of Geophysical Research: Oceans, Volume 131, Issue 8, August 2026.Abstract We present a bidirectional coupling between a nonlinear kinematic depth inversion method and a phase‐averaged spectral wave model to evaluate the influence of wave nonlinearity over gently sloping nearshore bathymetry. Time‐resolved wave imagery provides spatially varying frequency–wavenumber fields, whereas the simulated significant wave ...
Byunguk Kim +4 more
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