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pro vyhledávání: '"HIGHAM, NICHOLAS J."'
Autor:
Higham, Nicholas J.
Bidiagonal matrices are widespread in numerical linear algebra, not least because of their use in the standard algorithm for computing the singular value decomposition and their appearance as LU factors of tridiagonal matrices. We show that bidiagona
Externí odkaz:
http://arxiv.org/abs/2311.06609
We identify and analyse obstructions to factorisation of integer matrices into products $N^T N$ or $N^2$ of matrices with rational or integer entries. The obstructions arise as quadratic forms with integer coefficients and raise the question of the d
Externí odkaz:
http://arxiv.org/abs/2103.04149
Autor:
Abdelfattah, Ahmad, Anzt, Hartwig, Boman, Erik G., Carson, Erin, Cojean, Terry, Dongarra, Jack, Gates, Mark, Grützmacher, Thomas, Higham, Nicholas J., Li, Sherry, Lindquist, Neil, Liu, Yang, Loe, Jennifer, Luszczek, Piotr, Nayak, Pratik, Pranesh, Sri, Rajamanickam, Siva, Ribizel, Tobias, Smith, Barry, Swirydowicz, Kasia, Thomas, Stephen, Tomov, Stanimire, Tsai, Yaohung M., Yamazaki, Ichitaro, Yang, Urike Meier
Within the past years, hardware vendors have started designing low precision special function units in response to the demand of the Machine Learning community and their demand for high compute power in low precision formats. Also the server-line pro
Externí odkaz:
http://arxiv.org/abs/2007.06674
Evaluating the log-sum-exp function or the softmax function is a key step in many modern data science algorithms, notably in inference and classification. Because of the exponentials that these functions contain, the evaluation is prone to overflow a
Externí odkaz:
http://arxiv.org/abs/1909.03469
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We present Etymo (https://etymo.io), a discovery engine to facilitate artificial intelligence (AI) research and development. It aims to help readers navigate a large number of AI-related papers published every week by using a novel form of search tha
Externí odkaz:
http://arxiv.org/abs/1801.08573
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2020 Nov 01. 476(2243), 1-30.
Externí odkaz:
https://www.jstor.org/stable/27097403
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2020 Mar 01. 378(2166), 1-18.
Externí odkaz:
https://www.jstor.org/stable/26917443
Autor:
Higham, Nicholas J., Kandolf, Peter
Publikováno v:
SIAM Journal on Scientific Computing, 2017 39:2, A613-A627
We derive a new algorithm for computing the action $f(A)V$ of the cosine, sine, hyperbolic cosine, and hyperbolic sine of a matrix $A$ on a matrix $V$, without first computing $f(A)$. The algorithm can compute $\cos(A)V$ and $\sin(A)V$ simultaneously
Externí odkaz:
http://arxiv.org/abs/1607.04012