Strong regularity of parametric interval matrices

被引:5
|
作者
Skalna, Iwona [1 ]
机构
[1] AGH Univ Sci & Technol, Dept Appl Comp Sci, Krakow, Poland
来源
LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 12期
关键词
Parametric interval matrix; preconditioning; strong regularity; verifiable sufficient and necessary conditions; LINEAR-SYSTEMS;
D O I
10.1080/03081087.2016.1277687
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Several verifiable sufficient and necessary conditions for strong regularity of parametric interval matrices are given. The conditions are formulated in terms of the spectral radius, positive definiteness and eigenvalues of certain real matrices and a scaled maximum norm.
引用
收藏
页码:2472 / 2482
页数:11
相关论文
共 50 条
  • [1] A CHARACTERIZATION OF STRONG REGULARITY OF INTERVAL MATRICES
    Rohn, Jiri
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 : 717 - 722
  • [2] AE REGULARITY OF INTERVAL MATRICES
    Hladik, Milan
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2018, 33 : 137 - 146
  • [3] Regularity of interval fuzzy matrices
    Myskova, Helena
    Plavka, Jan
    [J]. FUZZY SETS AND SYSTEMS, 2023, 463
  • [4] An algorithm for checking regularity of interval matrices
    Jansson, C
    Rohn, J
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 20 (03) : 756 - 776
  • [5] Interval matrices: Regularity generates singularity
    Rohn, Jiri
    Shary, Sergey P.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 540 : 149 - 159
  • [6] STRONG REGULARITY OF MATRICES - A SURVEY OF RESULTS
    BUTKOVIC, P
    [J]. DISCRETE APPLIED MATHEMATICS, 1994, 48 (01) : 45 - 68
  • [7] Formally Verified Conditions for Regularity of Interval Matrices
    Pasca, Ioana
    [J]. INTELLIGENT COMPUTER MATHEMATICS, 2010, 6167 : 219 - 233
  • [8] Regularity of interval max-plus matrices
    Myskova, Helena
    Plavka, Jan
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 680 : 28 - 44
  • [9] A note on regularity and positive definiteness of interval matrices
    Farhadsefat, Raena
    Lotfi, Taher
    Rohn, Jiri
    [J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (01): : 322 - 328
  • [10] Sufficient conditions for regularity and singularity of interval matrices
    Rex, G
    Rohn, J
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1998, 20 (02) : 437 - 445