Results 51 to 60 of about 23,326 (218)
Stabilized Krylov Subspace Recurrences via Randomized Sketching
Numerical Linear Algebra with Applications, Volume 32, Issue 3, June 2025.ABSTRACT Recurrences building orthonormal bases for polynomial Krylov spaces have been classically used for approximation purposes in various numerical linear algebra contexts. Variants aiming to limit memory and computational costs by using truncated recurrences often have convergence constraints.
Valeria Simoncini, YiHong Wang
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ANALYTICAL INVERSE FOR THE SYMMETRIC CIRCULANT TRIDIAGONAL MATRIX [PDF]
Far East Journal of Applied Mathematics, 2018 Finding the inverse of a matrix is an open problem especially when it comes to engineering problems due to their complexity and running time (cost) of matrix inversion algorithms. An optimum strategy to invert a matrix is, first, to reduce the matrix to a simple form, only then beginning a mathematical procedure.
Mansour Nikkhah Bahrami +3 more
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Bayesian trans‐dimensional soil behaviour type inference using conditional posterior proposals
Geophysical Prospecting, Volume 73, Issue 5, Page 1510-1533, June 2025.ABSTRACT Identification of subsurface geological profiles is indispensable to geotechnical design and construction. Subsurface stratification through Bayesian inversion of soil behaviour type index data, obtained from cone penetration tests, is achieved through the development of a novel three‐block Markov chain Monte Carlo algorithm.
Michael Conrad Koch +2 more
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Constraining Kilometer‐Scale Mountain Snow Transport and Snowshed Areas
Geophysical Research Letters, Volume 52, Issue 10, 28 May 2025.Abstract Snow transport (wind drifting and avalanches) can concentrate a large amount of water into a relatively small area, in contrast to precipitation, which is spatially smoother. I develop a framework to constrain the minimum effective seasonal transport necessary to explain observed snowpack patterns.
E. N. Boardman
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On a Discrete Inverse Problem for Two Spectra
Discrete Dynamics in Nature and Society, 2012 A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix ...
Gusein Sh. Guseinov
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Mathematics, 2019 In this paper, we study periodic tridiagonal Toeplitz matrices with perturbed corners. By using some matrix transformations, the Schur complement and matrix decompositions techniques, as well as the Sherman-Morrison-Woodbury formula, we derive explicit ...
Yunlan Wei +3 more
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A Novel Divisional Bisection Method for the Symmetric Tridiagonal Eigenvalue Problem
Mathematics, 2022 The embarrassingly parallel nature of the Bisection Algorithm makes it easy and efficient to program on a parallel computer, but with an expensive time cost when all symmetric tridiagonal eigenvalues are wanted.
Wei Chu, Yao Zhao, Hua Yuan
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Explicit spectrum of a circulant-tridiagonal matrix with applications [PDF]
AIP Conference Proceedings, 2019 We consider a circulant-tridiagonal matrix and compute its determinant by using generating function method. Then we explicitly determine its spectrum. Finally we present applications of our results for trigonometric factorizations of the generalized Fibonacci and Lucas sequences.
Kılıç, Emrah, Yalciner, Aynur
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Cospectral graphs for the normalized Laplacian
AIMS Mathematics, 2022 Let $ G(a_1, a_2, \ldots, a_k) $ be a simple graph with vertex set $ V(G) = V_1\cup V_2\cup \cdots \cup V_k $ and edge set $ E(G) = \{(u, v)|u\in V_i, v\in V_{i+1}, i = 1, 2, \ldots, k-1\} $, where $ |V_i| = a_i > 0 $ for $ 1\leq i\leq k $ and $ V_i ...
Meiling Hu , Shuli Li
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A GPU‐Based Ocean Dynamical Core for Routine Mesoscale‐Resolving Climate Simulations
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 4, April 2025.Abstract We describe an ocean hydrostatic dynamical core implemented in Oceananigans optimized for Graphical Processing Unit (GPU) architectures. On 64 A100 GPUs, equivalent to 16 computational nodes in current state‐of‐the‐art supercomputers, our dynamical core can simulate a decade of near‐global ocean dynamics per wall‐clock day at an 8‐km ...
Simone Silvestri +9 more
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