Condition Numbers of Gaussian Random Matrices. Zizhong Chen,Jack J Dongarra. SIAM journal on matrix analysis and applications : a publication of the Society for Industrial and Applied Mathematics . 2006Z. Chen and J. Dongarra. Condition numbers of gaussian random matrices. Technical Report ut-cs-...
CONDITION NUMBERS OF GAUSSIAN RANDOM MATRICES. Let Gm× n be an m × n real random matrix whose elements are independent and identically distributed standard normal random variables, and let... Zizhong,Chen,Dongarrat,... - 《Siam Journal on Matrix Analysis & Applications》 被引量: 168发表: ...
U.S. Patent Application No. 16/947, 130. 2020. [3] Chen, Zizhong and Jack J. Dongarra. "Condition Numbers of Gaussian Random Matrices." SIAM Journal on Matrix Analysis and Applications 27, no. 3 (July 2005): 603-620. https://doi.org/10.1137/040616413....
A reasonable way to cope with this situation is to assume a probability measure on the space of n×m matrices A and to estimate the expected value of log C(A) (or that of C(A)). A standard choice of distribution is the Gaussian model. We say that a random matrix is Gaussian when...
We perform a smoothed analysis of Renegar’s condition number for linear programming by analyzing the distribution of the distance to ill-posedness of a linear program subject to a slight Gaussian perturbation. In particular, we show that for every n-by-d matrix Ā, n-vector [Math Processing...
Then we applied compressive sampling with different sampling rates (α) (0.0016, 0.003, 0.006, 0.013, 0.025, 0.05 and 0.1) with 8, 16, 32, 64, 128, 256, and 512 compressed measurements of our original vibration signal using random Gaussian matrix. The size of Gaussian matrix is m by N...
Tovo, Rainflow cycle distribution and fatigue damage in Gaussian random loadings. Internal Report No. 129, Department of Engineering, University of Ferrara, Italy, 2004. Google Scholar [53] S. Wang, A.R. Nejad, T. Moan On design, modelling, and analysis of a 10-MW medium-speed drivetrain...
Due to the differing levels of total transcription across the 12 2-hour periods, cutoffs were determined independently for each time point. A mixture model of two Gaussians was fit to the differences of each time point using expectation maximization. The point of intersection of the two Gaussian...
Without loss of generality, it is appropriate to assume that the probability distribution of a particular resonance frequency measured on several specimens is normal (Gaussian). In support of this assumption, the statistical distribution of the third resonance frequency of 16 ‘identical’ circular ...
2005. Condition numbers of gaussian random matrices. SIAM J. Matrix Anal. Appl. 27, 3, 603-620.Z. Chen and J. J. Dongarra. Condition numbers of gaussian random matrices. SIAM Journal on Matrix Analysis and Applications, 27(3):603-620, 2005. (Not cited)...