scholarly journals Sharp ULP rounding error bound for the hypotenuse function

1999 ◽  
Vol 68 (227) ◽  
pp. 1143-1149 ◽  
Author(s):  
Abraham Ziv
Keyword(s):  
Error Bound ◽  
Rounding Error

A new approach for optimal offline time-series segmentation with error bound guarantee

2021 ◽  
Vol 115 ◽  
pp. 107917
Author(s):  
Ángel Carmona-Poyato ◽  
Nicolás Luis Fernández-Garcia ◽  
Francisco José Madrid-Cuevas ◽  
Antonio Manuel Durán-Rosal
Keyword(s):  
Time Series ◽  
Error Bound ◽  
New Approach ◽  
Time Series Segmentation

scholarly journals New error bounds for linear complementarity problems of Σ-SDD matrices and SB-matrices

2019 ◽  
Vol 17 (1) ◽  
pp. 1599-1614
Author(s):  
Zhiwu Hou ◽  
Xia Jing ◽  
Lei Gao
Keyword(s):  
Linear Algebra ◽  
Error Bound ◽  
Linear Complementarity Problem ◽  
Error Bounds ◽  
Complementarity Problems ◽  
Linear Complementarity Problems ◽  
Linear Complementarity ◽  
Numerical Examples ◽  
Numer Algor ◽  
Better Than

Abstract A new error bound for the linear complementarity problem (LCP) of Σ-SDD matrices is given, which depends only on the entries of the involved matrices. Numerical examples are given to show that the new bound is better than that provided by García-Esnaola and Peña [Linear Algebra Appl., 2013, 438, 1339–1446] in some cases. Based on the obtained results, we also give an error bound for the LCP of SB-matrices. It is proved that the new bound is sharper than that provided by Dai et al. [Numer. Algor., 2012, 61, 121–139] under certain assumptions.

scholarly journals On the error bound in a combinatorial central limit theorem

Bernoulli ◽  
2015 ◽  
Vol 21 (1) ◽  
pp. 335-359 ◽  
Author(s):  
Louis H.Y. Chen ◽  
Xiao Fang
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Error Bound ◽  
Central Limit
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