A new random perturbation interval of symmetric eigenvalue problem

被引:0
|
作者
Tang, Ling [1 ]
Xiao, Chuanfu [1 ]
Li, Hanyu [1 ]
机构
[1] Chongqing Univ, Coll Math & Stat, Chongqing, Peoples R China
来源
LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 01期
基金
中国国家自然科学基金;
关键词
Random perturbation; simple eigenvalue; confidence level; RELIABILITY ESTIMATION;
D O I
10.1080/03081087.2019.1590301
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A large interval of random perturbation is presented in this study. Under the derived interval, the probability that the simple eigenvalue of original symmetric matrix is still simple is not less than a given confidence level. Numerical examples are provided to illustrate the obtained results.
引用
收藏
页码:147 / 154
页数:8
相关论文
共 50 条
  • [1] Improved random perturbation intervals of symmetric eigenvalue problem
    Xiao, Chuanfu
    Li, Hanyu
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 541 : 1 - 12
  • [2] Interval Jacobi algorithm for symmetric eigenvalue problem
    Simic, D
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 543 - 544
  • [3] Complexity issues for the symmetric interval eigenvalue problem
    Hladik, Milan
    [J]. OPEN MATHEMATICS, 2015, 13 (01): : 157 - 164
  • [4] A new hybrid method for finding an eigenpairs of a symmetric quadratic eigenvalue problem in an interval
    Datta, Karabi
    Thapa, Mohan
    [J]. PROCEEDINGS OF THE 9TH WSEAS INTERNATIONAL CONFERENCE ON MATHEMATICAL AND COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING (MACMESE '07)/ DNCOCO '07, 2007, : 126 - 129
  • [5] The generalized eigenvalue problem for tridiagonal symmetric interval matrices
    El-Gebeily, MA
    Abu-Baker, Y
    Elgindi, MB
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (06) : 531 - 535
  • [6] Generalized eigenvalue problem for tridiagonal symmetric interval matrices
    Department of Mathematical Sciences, King Fahd Univ. Petrol. and Minerals, Dhahran 31261, Saudi Arabia
    不详
    [J]. Int J Control, 6 (531-535):
  • [7] THE INTERVAL EIGENVALUE PROBLEM
    DEIF, AS
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1991, 71 (01): : 61 - 64
  • [8] An approximate method for the standard interval eigenvalue problem of real non-symmetric interval matrices
    Qiu, ZP
    Müller, PC
    Frommer, A
    [J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2001, 17 (04): : 239 - 251
  • [9] A new adaptive algorithm for the generalized symmetric eigenvalue problem
    Abed-Meraim, Karim
    Attallah, Samir
    [J]. 2007 9TH INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND ITS APPLICATIONS, VOLS 1-3, 2007, : 1393 - +
  • [10] New Algorithm for Computing Eigenvectors of the Symmetric Eigenvalue Problem
    Haidar, Azzam
    Luszczek, Piotr
    Dongarra, Jack
    [J]. PROCEEDINGS OF 2014 IEEE INTERNATIONAL PARALLEL & DISTRIBUTED PROCESSING SYMPOSIUM WORKSHOPS (IPDPSW), 2014, : 1151 - 1160