An algorithm for constructing doubly stochastic matrices for the inverse eigenvalue problem

被引：18

作者：

Mourad, Bassam ^{[1
]}

Abbas, Hassan ^{[2
]}

Mourad, Ayman ^{[2
]}

Ghaddar, Ahmad ^{[2
]}

Kaddoura, Issam ^{[3
]}

机构：

[1] Lebanese Univ, Fac Sci 5, Dept Math, Nabatieh, Lebanon

[2] Lebanese Univ, Fac Sci, Dept Math, Beirut, Lebanon

[3] Lebanese Int Univ, Fac Arts & Sci, Dept Math, Saida, Lebanon

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 05期

关键词：

Doubly stochastic matrices; Inverse eigenvalue problem; LIE;

D O I：

10.1016/j.laa.2013.04.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we present an algorithm that yields a new method for constructing doubly stochastic and symmetric doubly stochastic matrices for the inverse eigenvalue problem. In addition, we introduce new open problems in this area that lay the ground for future work. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1382 / 1400

页数：19

共 50 条

[1] A recursive method for constructing doubly stochastic matrices and inverse eigenvalue problem
Adeli, Iman
Taheri, Maryam
Moghadam, Mahmoud Mohseni
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 537 : 318 - 331
[2] The inverse eigenvalue problem for symmetric doubly stochastic matrices
Hwang, SG
Pyo, SS
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 379 : 77 - 83
[3] A note on the inverse eigenvalue problem for symmetric doubly stochastic matrices
Fang, Maozhong
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (11) : 2925 - 2927
[4] Comment on "A note on the inverse eigenvalue problem for symmetric doubly stochastic matrices"
Xu, Wei-Ru
Lei, Ying-Jie
Gu, Xian-Ming
Lu, Yong
Niu, Yan-Ru
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (08) : 2256 - 2262
[5] On the Inverse Eigenvalue Problem for Irreducible Doubly Stochastic Matrices of Small Orders
Zhang, Quanbing
Xu, Changqing
Yang, Shangjun
ABSTRACT AND APPLIED ANALYSIS, 2014,
[6] On a spectral property of doubly stochastic matrices and its application to their inverse eigenvalue problem
Mourad, Bassam
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) : 3400 - 3412
[7] On the symmetric doubly stochastic inverse eigenvalue problem
Lei, Ying-Jie
Xu, Wei-Ru
Lu, Yong
Niu, Yan-Ru
Gu, Xian-Ming
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 445 : 181 - 205
[8] The Inverse Eigenvalue Problem for Symmetric Doubly Arrow Matrices
Wang, Kanming
Liu, Zhibing
Fei, Xuyun
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2, 2014, 444-445 : 625 - 627
[9] An Inverse Eigenvalue Problem for Symmetric Doubly Arrow Matrices
Xu, Chengfeng
Liu, Zhibing
Wang, Kanming
2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3, 2010, : 629 - 632
[10] Methods for constructing distance matrices and the inverse eigenvalue problem
Hayden, TL
Reams, R
Wells, J
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 295 (1-3) : 97 - 112

← 1 2 3 4 5 →