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A new error bound for the linear complementarity problem when the matrix involved is a B-matrix is presented, which improves the corresponding result in [C.Q. Li et al., A new error bound for linear complementarity problems for B-matrices.…

Numerical Analysis · Mathematics 2016-10-21 Lei Gao , Chaoqian Li

In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.

Dynamical Systems · Mathematics 2019-09-12 Alejandro Donaire , Jose Guadalupe Romero , Romeo Ortega

We study in this paper the function approximation error of linear interpolation and extrapolation. Several upper bounds are presented along with the conditions under which they are sharp. All results are under the assumptions that the…

Numerical Analysis · Mathematics 2022-09-27 Liyuan Cao , Zaiwen Wen , Ya-xiang Yuan

This is a preprint of the article arXiv:2004.10242

Optimization and Control · Mathematics 2020-04-24 Anton Ryabtsev

A new error bound for the linear complementarity problem is given when the involved matrix is a B-matrix. It is shown that this bound is sharper than some previous bounds [C.Q. Li, Y.T. Li. Note on error bounds for linear complementarity…

Numerical Analysis · Mathematics 2016-03-01 Chaoqian Li , Mengting Gan , Shaorong Yang

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

We analyse the convergence of the proximal gradient algorithm for convex composite problems in the presence of gradient and proximal computational inaccuracies. We derive new tighter deterministic and probabilistic bounds that we use to…

Optimization and Control · Mathematics 2022-03-07 Anis Hamadouche , Yun Wu , Andrew M. Wallace , Joao F. C. Mota

In the paper [Hong-Shi Zong, Wei-Min Sun, Phys. Lett. B 640 (2006) 196], the authors claim that our proof of the inconsistency of the ladder approximation to QCD [Phys. Lett. B 611 (2005) 129] was incorrect. However, their claim is based on…

High Energy Physics - Phenomenology · Physics 2010-11-05 V. Gogokhia

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Functional Analysis · Mathematics 2011-09-27 G. Sankara Raju Kosuru , P. Veeramani

It has been pointed out by counterexamples in a 2013 paper in the IEEE Transactions on Computers [1], that there is an error in the previously ibid.\ in 2005 published paper [2] on the construction of valid digit selection tables for SRT…

Hardware Architecture · Computer Science 2014-11-25 Peter Kornerup

Errors were discovered in our recent calculations of HeI emissivities (Porter et al. 2012; arXiv:1206.4115). This corrigendum discusses the errors and reports corrected emissivities.

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 R. L. Porter , G. J. Ferland , P. J. Storey , M. J. Detisch

In this Reply, we respond to the above Comment. Our computation [Phys. Rev. D 91 (2015) 074512] only took into account pure QCD effects, arising from quark mass differences, so it is not surprising that there are discrepancies in isospin…

High Energy Physics - Lattice · Physics 2015-07-29 R. Horsley , J. Najjar , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

This paper is being withdrawn by the authors in order to correct some errors and also to introduce improved theoretical techniques.

Nuclear Theory · Physics 2009-06-04 Q. N. Usmani , G. Rawitscher , A. Singh

In this work we analyze the problem of linear correction of the reliability metrics (L-values) in BICM receivers. We want to find the correction factors that minimize the probability of error of a maximum likelihood decoder that uses the…

Information Theory · Computer Science 2011-12-01 Szczecinski Leszek

We correct a mistake in the paper with the mentioned title and reference: Calc. Var. Partial Differential Equations 58 (2019), no. 1, 58:21. It corresponds with the preprint arXiv:1712.04727.

Differential Geometry · Mathematics 2020-04-06 Antonio Alarcon , Ildefonso Castro-Infantes , Francisco J. Lopez

An error in the paper [J. Math. Phys. 43, 6343 (2002); math-ph/0207009] is corrected. Further explanation is given.

Mathematical Physics · Physics 2015-06-26 Ali Mostafazadeh

This paper is devoted to first-order algorithms for smooth convex optimization with inexact gradients. Unlike the majority of the literature on this topic, we consider the setting of relative rather than absolute inexactness. More…

Optimization and Control · Mathematics 2023-10-03 Nikita Kornilov , Eduard Gorbunov , Mohammad Alkousa , Fedor Stonyakin , Pavel Dvurechensky , Alexander Gasnikov

Errors in the published version of the paper are corrected, and new figures are provided.

High Energy Physics - Phenomenology · Physics 2008-11-26 E. L. Berger , M. Klasen , T. M. P. Tait

We provide a correction to the sufficient conditions under which closed-form expressions for the optimal Lagrange multiplier are provided in arXiv:2112.13138 [math.OC]. We first present a simple counterexample where the original conditions…

Optimization and Control · Mathematics 2025-03-13 Henri Lefebvre , Anirudh Subramanyam

Corrections of gradient errors in the interactions regions (IRs) of high energy colliders have traditionally been made by changing the strengths of quadrupoles that are common to both beams, such as the triplet quadrupoles. This article…

Accelerator Physics · Physics 2020-02-17 Javier Fernando Cardona , Yohany Rodríguez , Rogelio Tomás
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