Results 11 to 20 of about 120,420 (290)
The conditioning of Toeplitz band matrices
Mathematical and Computer Modelling, 1996 When one applies boundary value methods to the solution of initial value problems, one is concerned with the behavior of the inverses of certain Toeplitz band matrices. The authors derive practical conditions to check the well-conditioning of a family of nonsingular Toeplitz band matrices.
P. AMODIO, BRUGNANO, LUIGI
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Condition Numbers of Gaussian Random Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2005 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 $ _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 $x \geq |n-m|+1$, $ _2(G_{m \times n})$ satisfies $ \frac{1}{\sqrt{2
Chen, Zizhong, Dongarra, Jack J.
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Indonesian Journal of Chemistry, 2021 Curcuminoids can be successfully extracted from Curcuma zedoaria using natural deep eutectic solvents (NADES) as extraction solvents. However, a mixture of extracted curcuminoids, NADES, and impurities from C. zedoaria was obtained as a slurry at the end
Orchidea Rachmaniah +3 more
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PLoS ONE, 2020 Several areas, such as physical and health sciences, require the use of matrices as fundamental tools for solving various problems. Matrices are used in real-life contexts, such as control, automation, and optimization, wherein results are expected to ...
Ignacio Algredo-Badillo +5 more
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Applied Sciences, 2022 Rectangular ducts used in the air-conditioning system of a high-speed train should be carefully designed to achieve optimal acoustic and flow performance.
Yanhong Sun +3 more
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Classification of structural MRI images in Alzheimer's disease from the perspective of ill-posed problems. [PDF]
PLoS ONE, 2012 BACKGROUND:Machine learning neuroimaging researchers have often relied on regularization techniques when classifying MRI images. Although these were originally introduced to deal with "ill-posed" problems it is rare to find studies that evaluate the ill ...
Ramon Casanova +3 more
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Condition number analysis and preconditioning of the finite cell method [PDF]
, 2016 The (Isogeometric) Finite Cell Method - in which a domain is immersed in a structured background mesh - suffers from conditioning problems when cells with small volume fractions occur.
de Prenter, F. +3 more
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A Research on Cross-Regional Debris Flow Susceptibility Mapping Based on Transfer Learning
Remote Sensing, 2022 Debris flow susceptibility mapping (DFSM), which has proven to be one of the most effective tools for risk management, faces a variety of problems. To realize the rational use of debris flow sample resources and improve the modeling efficiency, a unified
Ruiyuan Gao +5 more
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An efficient Dai-Kou-type method with image de-blurring application [PDF]
Iranian Journal of Numerical Analysis and OptimizationWell-conditioning of matrices has been shown to improve the numerical performance of algorithms by way of ensuring their numerical stability. In this paper, a modified Dai–Kou-type conjugate gradient method is developed for constrained nonlinear monotone
K. Ahmed +5 more
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Componentwise Condition Numbers of Random Sparse Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2009 We prove an O(log n) bound for the expected value of the logarithm of the componentwise (and, a fortiori, the mixed) condition number of a random sparse n x n matrix. As a consequence, small bounds on the average loss of accuracy for triangular linear systems follow.
Cheung, Dennis, Cucker, Felipe
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