学术期刊
切换导航
首 页
文 章
期 刊
投 稿
预 印
会 议
书 籍
新 闻
合 作
我 们
按学科分类
Journals by Subject
按期刊分类
Journals by Title
核心OA期刊
Core OA Journal
数学与物理
Math & Physics
化学与材料
Chemistry & Materials
生命科学
Life Sciences
医药卫生
Medicine & Health
信息通讯
Information & Communication
工程技术
Engineering & Technology
地球与环境
Earth & Environment
经济与管理
Economics & Management
人文社科
Humanities & Social Sciences
合作期刊
Cooperation Journals
首页
数学与物理
应用数学进展
Vol. 5 No. 3 (August 2016)
期刊菜单
最新文章
历史文章
检索
领域
编委
投稿须知
文章处理费
最新文章
历史文章
检索
领域
编委
投稿须知
文章处理费
严格对角占优矩阵与Nekrasov矩阵的子直和
Subdirect Sums of Strictly Diagonally Dominant Matrices and Nekrasov Matrices
DOI:
10.12677/AAM.2016.53061
,
PDF
,
HTML
,
XML
,
被引量
下载: 2,094
浏览: 5,638
国家自然科学基金支持
作者:
赵晶
,
胡汭炎
,
李耀堂
*
:云南大学数学与统计学院,云南 昆明
关键词:
Nekrasov矩阵
;
严格对角占优
;
子直和
;
Nekrasov Matrix
;
Strictly Diagonally Dominant
;
Subdirect Sum
摘要:
给出了严格对角占优矩阵与Nekrasov矩阵的子直和为Nekrasov矩阵的充分条件,并用数值例子对所给结论进行了说明。
Abstract:
A sufficient condition ensuring that the subdirect sum of strictly diagonally dominant matrix and Nekrasov matrix is in the class of Nekrasov matrices is given. And the conclusion is illustrated by a numerical example.
文章引用:
赵晶, 胡汭炎, 李耀堂. 严格对角占优矩阵与Nekrasov矩阵的子直和[J]. 应用数学进展, 2016, 5(3): 505-515.
http://dx.doi.org/10.12677/AAM.2016.53061
参考文献
[
1
]
Fallat, S.M. and Johnson, C.R. (1999) Sub-Direct Sums and Positivity Classes of Matrices. Linear Algebra and its Applications, 288, 149-173.
http://dx.doi.org/10.1016/S0024-3795(98)10194-5
[
2
]
Bru, R., Pedroche, F. and Szyld, D.B. (2005) Subdirect Sums of Nonsingular M-Matrices and of Their Inverse. Electronic Journal of Linear Algebra, 13, 162-174.
[
3
]
Frommer, A. and Szyld, D.B. (1999) Weighted Max Norms, Splittings, and Overlapping Additive Schwarz Iterations. Numerische Mathematik, 83, 259-278.
http://dx.doi.org/10.1007/s002110050449
[
4
]
Bru, R., Pedroche, F. and Szyld, D.B. (2005) Additive Schwarz Iterations for Markov Chains. SIAM Journal on Matrix Analysis and Applications, 27, 445-458.
http://dx.doi.org/10.1137/040616541
[
5
]
Bru, R., Pedroche, F. and Szyld, D.B. (2006) Subdirect Sums of S-Strictly Diagonally Dominant Matrices. The Electronic Journal of Linear Algebra, 15, 201-209.
[
6
]
Zhu, Y. and Huang, T.Z. (2007) Subdirect Sum of Doubly Diagonally Dominant Matrices. The Electronic Journal of Linear Algebra, 16, 171-182.
[
7
]
Bru, R., Cvetkovic, L., Kostic, V. and Pedroche, F. (2010) Sums of Strictly Diagonally Dominant Matrices. Linear and Multilinear Algebra, 58, 75-78.
http://dx.doi.org/10.1080/03081080802379725
[
8
]
Li, C.Q., Liu, Q.L., Gao, L. and Li, Y.T. (2016) Subdirect Sums of Nekrasov Matrices. Linear Multilinear Algebra, 64, 208-218.
http://dx.doi.org/10.1080/03081087.2015.1032198
[
9
]
Cvetkovic, L. (2006) H-Matrix Theory vs. Eigenvalue Location. Numerical Algorithms, 42, 229-245.
http://dx.doi.org/10.1007/s11075-006-9029-3
[
10
]
Horn, R.A. and Johnson, C.R. (1985) Matrix Analysis. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9780511810817
[
11
]
Berman, A. and Plemmons, R.J. (1979) Nonnegative Matrices in the Ma-thematical Sciences. Academic Press, New York.
[
12
]
Li, W. (1998) On Nekrasov Matrices. Linear Algebra and its Applications, 281, 87-96.
http://dx.doi.org/10.1016/S0024-3795(98)10031-9
[
13
]
Cvetkovic, L., Dai, P.F., Doroslovackic, K. and Li, Y.T. (2013) Infinity Norm Bounds for the Inverse of Nekrasov Matrices. Applied Mathematics and Computation, 219, 5020-5024.
http://dx.doi.org/10.1016/j.amc.2012.11.056
投稿
为你推荐
友情链接
科研出版社
开放图书馆