Results 21 to 30 of about 7,857,635 (191)

Solving absolute value equation using complementarity and smoothing functions [PDF]

open access: yes, 2018
International audienceIn this paper, we reformulate the NP-hard problem of the absolute value equation (AVE) as a horizontal linear complementarity one and then solve it using a smoothing technique. This approach leads to a new class of methods that are
T. Migot   +9 more
core   +3 more sources

Primal-Dual Bilinear Programming Solution of the Absolute Value Equation [PDF]

open access: yes, 2011
We propose a finitely terminating primal-dual bilinear programming algorithm for the solution of the NP-hard absolute value equation (AVE): Ax ? |x| = b, where A is an n n square matrix.
Olvi L. Mangasarian, Mangasarian, Olvi
core   +1 more source

Analysis of natural gas flow reversal in integrated energy system based on dynamic simulation

open access: yesEnergy Reports, 2021
The inertial water hammer pressure propagates along the pipeline at the speed of sound wave, which makes the pressure along the pipeline rise or fall rapidly and the inertial water hammer pressure attenuate in the process of propagation.
Jiang Zhai, Xiaoxin Zhou, Yalou Li
doaj   +1 more source

Efficient Splitting Methods for Solving Tensor Absolute Value Equation

open access: yes, 2022
The tensor absolute value equation is a class of interesting structured multilinear systems. In this article, from the perspective of pure numerical algebra, we first consider a tensor-type successive over-relaxation method (SOR) (called TSOR) and tensor-
Jing Ning, Jie Yao, Yajun Xie
core   +1 more source

Method of Alternating Projection for the Absolute Value Equation

open access: yesCoRR, 2021
38 pages, 1 figure, 3 ...
Jan Harold Alcantara   +2 more
openaire   +3 more sources

The Picard-HSS-SOR iteration method for absolute value equations

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we present the Picard-HSS-SOR iteration method for finding the solution of the absolute value equation (AVE), which is more efficient than the Picard-HSS iteration method for AVE.
Lin Zheng
doaj   +1 more source

On stability of the third order partial delay differential equation with involution and Dirichlet condition

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem ...
A. Ashyralyev, S. Ibrahim, E. Hincal
doaj   +1 more source

On the unique solution of the generalized absolute value equation [PDF]

open access: yesOptimization Letters, 2020
8 pages ...
Shi-Liang Wu, Shu-Qian Shen 0001
openaire   +2 more sources

On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations

open access: yesJournal of Inequalities and Applications, 2016
In this paper, based on the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method, the nonlinear MHSS-like iteration method is presented to solve a class of the weakly absolute value equations (AVE).
Cui-Xia Li
doaj   +1 more source

Connections Between the Completion of Normed Spaces Over Non-Archimedean Fields and the Stability of the Cauchy Equation

open access: yesAnnales Mathematicae Silesianae, 2020
In [12] a close connection between stability results for the Cauchy equation and the completion of a normed space over the rationals endowed with the usual absolute value has been investigated. Here similar results are presented when the valuation of the
Schwaiger Jens
doaj   +1 more source

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