Results 31 to 40 of about 120,420 (290)
Eigenvalues and Condition Numbers of Random Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 1988 Let X be a random matrix whose entries are independent standard normal random variables. Denote by \(\kappa =\| X\| \| X^{-1}\|\) its condition number in the 2-norm. The author presents a proof that for real \(n\times n\) matrices \(E(\log \kappa)\approx \log n+1.537\) and for complex matrices \(E(\log \kappa)\approx \log n+0.982\) as \(n\to \infty ...
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Conditioning analysis of block incomplete factorization and its application to elliptic equations [PDF]
, 1997 The paper deals with eigenvalue estimates for block incomplete fac- torization methods for symmetric matrices. First, some previous results on upper bounds for the maximum eigenvalue of preconditioned matrices are generalized to each eigenvalue.
Axelsson, Owe, Lu, Hao
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Path-Wise Attention Memory Network for Visual Question Answering
Mathematics, 2022 Visual question answering (VQA) is regarded as a multi-modal fine-grained feature fusion task, which requires the construction of multi-level and omnidirectional relations between nodes.
Yingxin Xiang +5 more
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Advancing Text-to-Image Generation: A Comparative Study of StyleGAN-T and Stable Diffusion 3 under Neutrosophic Sets [PDF]
Neutrosophic Sets and SystemsRecent advances in generative models have revolutionized the technology employed for image synthesis quite significantly, and two paradigms—GANs and diffusion-based models—are leading the pack of innovation.
Mohamed G Sadek +3 more
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Chebfun Solutions to a Class of 1D Singular and Nonlinear Boundary Value Problems
Computation, 2022 The Chebyshev collocation method implemented in Chebfun is used in order to solve a class of second order one-dimensional singular and genuinely nonlinear boundary value problems.
Călin-Ioan Gheorghiu
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Advances in Difference Equations, 2021 In this article we propose a hybrid method based on a local meshless method and the Laplace transform for approximating the solution of linear one dimensional partial differential equations in the sense of the Caputo–Fabrizio fractional derivative.
Raheel Kamal +5 more
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Singular-Value-Decomposition-Based Matrix Surgery
EntropyThis paper is motivated by the need to stabilise the impact of deep learning (DL) training for medical image analysis on the conditioning of convolution filters in relation to model overfitting and robustness.
Jehan Ghafuri, Sabah Jassim
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Condition numbers of Hessenberg companion matrices
Czechoslovak Mathematical JournalThe Fiedler matrices are a large class of companion matrices that include the well-known Frobenius companion matrix. The Fiedler matrices are part of a larger class of companion matrices that can be characterized with a Hessenberg form. In this paper, we demonstrate that the Hessenberg form of the Fiedler companion matrices provides a straight-forward ...
Cox, Michael +3 more
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Spectral condition‐number estimation of large sparse matrices
Numerical Linear Algebra with Applications, 2019 SummaryWe describe a randomized Krylov‐subspace method for estimating the spectral condition number of a real matrix A or indicating that it is numerically rank deficient. The main difficulty in estimating the condition number is the estimation of the smallest singular value of A.
Haim Avron, Alex Druinsky, Sivan Toledo
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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