Results 21 to 30 of about 251 (211)
Conditions for Singular Incidence Matrices [PDF]
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Application of an RBF blending interpolation method to problems with shocks
Radial basis functions (RBF) have become an area of research in recent years, especially in the use of solving partial differential equations (PDE). Radial basis functions have an impressive capability in interpolating scattered data, even for data with
Michael Harris +2 more
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Condition Numbers of Gaussian Random Matrices [PDF]
Let $G_{m \times n}$ be an $m \times n$ real random matrix whose elements are independent and identically distributed standard normal random variables, and let $κ_2(G_{m \times n})$ be the 2-norm condition number of $G_{m \times n}$. We prove that, for any $m \geq 2$, $n \geq 2$ and $x \geq |n-m|+1$, $κ_2(G_{m \times n})$ satisfies $ \frac{1}{\sqrt{2π}
Zizhong Chen, Jack J. Dongarra
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The fractional mobile/immobile solute transport model has applications in a wide range of phenomena such as ocean acoustic propagation and heat diffusion.
Kamran +5 more
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Condition Numbers of Random Triangular Matrices [PDF]
It is shown that the 2-norm condition number of a lower triangular matrix of dimension \(n\), whose entries come from an independent normal variable of mean 0 and variance 1, grows exponentially with \(n\). This is in striking contrast to the linear growth of the condition number of random dense matrices.
D. Viswanath, Lloyd N. Trefethen
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The temperature of indoor spaces is at the core of highly relevant topics such as comfort, productivity and health. In conditioned spaces, this temperature is determined by thermostat preferences, but there is a lack of understanding of this phenomenon ...
Alfonso P. Ramallo-González +3 more
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Predisposal conditioning, treatment, and performance assessment of radioactive waste streams
Before the final disposal of radioactive wastes, various processes can be implemented to optimise the waste form. This can include different chemical and physical treatments, such as thermal treatment for waste reduction, waste conditioning for ...
Holt Erika +7 more
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On best conditioned matrices [PDF]
1. Main theorems. Let A be a positive definite Hermitian matrix of finite order, and let A and X be its maximal and minimal eigenvalue respectively. The condition number of A is the ratio P(A) =A/X introduced by Todd [1]. Let 'G be a class of regular linear transformations. Define ATT*A T. We say that A is best conditioned with respect to 'G if P(A T) >
Forsythe, G. E., Straus, E. G.
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Advancing Text-to-Image Generation: A Comparative Study of StyleGAN-T and Stable Diffusion 3 under Neutrosophic Sets [PDF]
Recent 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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Singular-Value-Decomposition-Based Matrix Surgery
This 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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