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[期刊论文]

The hybird methods of projection-splitting for solving tensor split feasibility problem

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author:

Xie, Yajun (Xie, Yajun.) [1] | Ma, Changfeng (Ma, Changfeng.) [2]

Indexed by:

SCIE

Abstract:

Projection-type methods are studied widely and deeply to solve multiples-sets split feasibility problem. From the perspective of splitting iteration, in this paper, the efficient tensor projection-splitting iteration methods are firstly investigated for solving tensor split feasibility problem, which is properly transformed into a tensor equation by taking advantage of projection operator. Then, accelerated overrelaxation method and symmetric (alternating) accelerated overrelaxation method are further generalized to solve this problem from general system of linear equations to multi-linear systems. Theoretically, the convergence is proven by the analysis of spectral radius of splitting iteration tensor. Numerical experiments demonstrate the efficiency of the presented method.

Keyword:

accelerated overrelaxation method multi-linear systems projection-splitting iteration spectral radius tensor split feasibility problem

Community:

  • [ 1 ] [Xie, Yajun]Nanchang Normal Coll Appl Technol, Nanchang 330108, Peoples R China
  • [ 2 ] [Ma, Changfeng]Fuzhou Univ, Key Lab Digital Technol & Intelligent Comp, Fuzhou 350202, Peoples R China

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Source :

AIMS MATHEMATICS

ISSN: 2473-6988

Year: 2023

Issue: 9

Volume: 8

Page: 20597-20611

1 . 8

JCR@2023

1 . 8 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:13

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

30 Days PV: 2

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