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In this article we establish error bound for linear complementarity problem with $P$-matrix using plus function. We introduce a fundamental quantity associated with a $P$-matrix and show how this quantity is useful in deriving error bounds…

Optimization and Control · Mathematics 2022-09-02 Bharat Kumar , Deepmala , A. Dutta , A. K. Das

In this work we present some results that allow to improve the decoding radius in solving polynomial linear systems with errors in the scenario where errors are additive and randomly distributed over a finite field. The decoding radius…

Information Theory · Computer Science 2020-03-05 Eleonora Guerrini , Romain Lebreton , Ilaria Zappatore

We make some comments about the results we obtained in Phys. Rev. Lett. 86,3392(2001), and in Phys. Rev. Lett.87, 177206 (2001), and show that the conclusion of a recent paper [cond-mat/0409495] leveling some criticism on our results is, in…

Strongly Correlated Electrons · Physics 2009-09-29 Bogdan A. Bernevig , Domenico Giuliano , Robert B. Laughlin

In this paper we consider a sub-diffusion problem where the fractional time derivative is approximated either by the L1 scheme or by Convolution Quadrature. We propose new interpretations of the numerical schemes which lead to a posteriori…

Numerical Analysis · Mathematics 2022-03-02 Lehel Banjai , Charalambos G. Makridakis

This paper presents a method to interpolate a periodic band-limited signal from its samples lying at nonuniform positions in a regular grid, which is based on the FFT and has the same complexity order as this last algorithm. This kind of…

Information Theory · Computer Science 2016-11-17 J. Selva

The far field refractor problem with a discrete target is solved with a numerical scheme that uses and simplify ideas from Caffarelli, Kochengin and Oliker. A numerical implementation is carried out and examples are shown.

Numerical Analysis · Mathematics 2016-03-07 Roberto De Leo , Cristian E. Gutiérrez , Henok Mawi

The functional logit regression model was proposed by Escabias et al. (2004) with the objective of modeling a scalar binary response variable from a functional predictor. The model estimation proposed in that case was performed in a…

Methodology · Statistics 2024-02-08 Manuel Escabias , Ana M. Aguilera , Christian Acal

In this short paper, we show that the solution set of a combination of equilibrium problems is not necessary contained in the intersection of a finite family of solution sets of equilibrium problems. As a corollary, we deduce that…

Optimization and Control · Mathematics 2019-04-15 Nguyen Thi Thanh Ha , Tran Thi Huyen Thanh , Nguyen Ngoc Hai , Hy Duc Manh , Bui Van Dinh

In this article, we demonstrate that the claim made by Xiaoyan Li and Ni Sun \cite{bib 1} regarding the incorrectness of Theorem 7 in the paper \cite{bib 2} is wrong, and show that this Theorem is based on the integral with respect to…

Probability · Mathematics 2023-12-05 Alireza Najafi , Rahman Taleghani

This comment points out a serious flaw in the article "Gouri\'eroux, Monfort, Renne (2019): Identification and Estimation in Non-Fundamental Structural VARMA Models" with regard to mirroring complex-valued roots with Blaschke polynomial…

Econometrics · Economics 2020-10-07 Bernd Funovits

This note presents a few observations on the nonlocal nature of quantum errors and the expected performance of the recently proposed quantum error-correction codes that are based on the assumption that the errors are either bit-flip or…

Quantum Physics · Physics 2007-05-23 Subhash Kak

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 paper, we give some further comments to the counterexample and the results of R.~K. Bisht in [R.~K. Bisht. \newblock {Comment on: A new fixed point theorem in the fractal space}. \newblock {\em Indag. Math. (N.S.)}, 29(2):819--823,…

Functional Analysis · Mathematics 2019-11-05 Nguyen Van Dung , Wutiphol Sintunavarat

Given a graphical model, one essential problem is MAP inference, that is, finding the most likely configuration of states according to the model. Although this problem is NP-hard, large instances can be solved in practice. A major open…

Machine Learning · Statistics 2017-03-09 Erik M. Lindgren , Alexandros G. Dimakis , Adam Klivans

In this paper, a posteriori error estimates of functional type for a stationary diffusion problem with nonsymmetric coefficients are derived. The estimate is guaranteed and does not depend on any particular numerical method. An algorithm…

Numerical Analysis · Mathematics 2014-11-24 Olli Mali

In semidefinite programming the dual may fail to attain its optimal value and there could be a duality gap, i.e., the primal and dual optimal values may differ. In a striking paper, Ramana proposed a polynomial size extended dual that does…

Optimization and Control · Mathematics 2022-09-08 Bruno F. Lourenço , Gábor Pataki

In [I. Cardinali and L. Giuzzi. Line Hermitian Grassmann codes and their parameters. Finite Fields Appl., 51: 407-432, 2018] we introduced line Hermitian Grassmann codes and determined their parameters. The aim of this paper is to present…

Combinatorics · Mathematics 2020-05-13 Ilaria Cardinali , Luca Giuzzi

A recent letter titled "Explicit Analytical Solution for Random Close Packing in d=2 and d=3" published in Physical Review Letters proposes a first-principle computation of the random close packing (RCP) density in spatial dimensions d=2…

Statistical Mechanics · Physics 2025-09-01 Patrick Charbonneau , Peter K. Morse

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

The purpose of this note is to discuss some aspects of recently proposed fractional-order variants of complex least mean square (CLMS) and normalized least mean square (NLMS) algorithms in ``Design of Fractional-order Variants of Complex…

Optimization and Control · Mathematics 2020-07-28 Shujaat Khan , Abdul Wahab , Imran Naseem , Muhammad Moinuddin
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