Adaptive Parameter Alternating Direction Algorithm for Centrosymmetric Solutions of a Class of Generalized Coupled Sylvester-transpose Matrix Equations

被引：0

作者：

Yan, Tongxin ^{[1
,2
,3
]}

Ke, Yifen ^{[1
,2
]}

Ma, Changfeng ^{[1
,2
]}

机构：

[1] Fujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Peoples R China

[2] Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Peoples R China

[3] Fujian Univ Technol, Sch Comp Sci & Math, Fuzhou 350118, Peoples R China

来源：

FRONTIERS OF MATHEMATICS | 2023年 / 18卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Adaptive parameter; generalized coupled Sylvester-transpose matrix equations; centrosymmetric matrices; iterative algorithm; ITERATIVE SOLUTIONS; LINEAR MATRIX; REFLEXIVE; SOLVE;

D O I：

10.1007/s11464-020-0040-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose an adaptive parameter alternating direction algorithm to solve a class of generalized coupled Sylvester-transpose matrix equations over centrosymmetric matrices. Under appropriate constraints, we prove that the algorithm is convergent. Finally, we illustrate the feasibility and effectiveness of this method through numerical experiments.

引用

页码：977 / 998

页数：22

共 50 条

[1] Adaptive Parameter Alternating Direction Algorithm for Centrosymmetric Solutions of a Class of Generalized Coupled Sylvester-transpose Matrix Equations
Tongxin Yan
Yifen Ke
Changfeng Ma
[J]. Frontiers of Mathematics, 2023, 18 : 977 - 998
[2] The iterative algorithm for solving a class of generalized coupled Sylvester-transpose equations over centrosymmetric or anti-centrosymmetric matrix
Lv, Chang-Qing
Ma, Chang-Feng
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 96 (08) : 1576 - 1594
[3] An iterative algorithm to solve the generalized coupled Sylvester-transpose matrix equations
Song, Caiqin
Feng, Jun-e
[J]. TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2016, 38 (07) : 863 - 875
[4] Iterative solutions to coupled Sylvester-transpose matrix equations
Song, Caiqin
Chen, Guoliang
Zhao, Linlin
[J]. APPLIED MATHEMATICAL MODELLING, 2011, 35 (10) : 4675 - 4683
[5] The generalized QMRCGSTAB algorithm for solving Sylvester-transpose matrix equations
Hajarian, Masoud
[J]. APPLIED MATHEMATICS LETTERS, 2013, 26 (10) : 1013 - 1017
[6] Extending the CGLS algorithm for least squares solutions of the generalized Sylvester-transpose matrix equations
Hajarian, Masoud
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (05): : 1168 - 1185
[7] Conjugate gradient algorithm for consistent generalized Sylvester-transpose matrix equations
Tansri, Kanjanaporn
Choomklang, Sarawanee
Chansangiam, Pattrawut
[J]. AIMS MATHEMATICS, 2022, 7 (04): : 5386 - 5407
[8] The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations
Huang, Na
Ma, Changfeng
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (08) : 1545 - 1558
[9] A matrix CRS iterative method for solving a class of coupled Sylvester-transpose matrix equations
Chen, Cai-Rong
Ma, Chang-Feng
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (06) : 1223 - 1231
[10] ALGORITHM FOR SOLVING THE SYSTEMS OF THE GENERALIZED SYLVESTER-TRANSPOSE MATRIX EQUATIONS USING LMI
Aliev, Fikret A.
Larin, Vladimir B.
Velieva, Naila
Gasimova, Kamila
Faradjova, Shargiyya
[J]. TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 10 (02): : 239 - 245

← 1 2 3 4 5 →