View in EDS PDF Full Text

Estimation of Matrix Numerical Characteristics.

Saved in:
Bibliographic Details
Title: Estimation of Matrix Numerical Characteristics.
Authors: Hu, Xingkai1 huxingkai84@163.com, Xue, Jianming2 xuejianming104@163.com
Source: IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2536-2540. 5p.
Subjects: Eigenvalues, Mathematical bounds, Numerical functions
Abstract: The purpose of this paper is to investigate the estimation of matrix numerical characteristics. We derive two upper bounds for the sum of the moduli of matrix eigenvalues. Meanwhile, we show estimations for the matrix spread. New bounds for the eigenvalue modulus, determinant, rank, as well as the real and imaginary parts of matrix eigenvalues are given. Furthermore, we propose four criteria for determining whether a matrix is non-singular. Finally, four numerical examples are provided to demonstrate the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 195026885
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Estimation of Matrix Numerical Characteristics.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Hu%2C+Xingkai%22">Hu, Xingkai</searchLink><relatesTo>1</relatesTo><i> huxingkai84@163.com</i><br /><searchLink fieldCode="AR" term="%22Xue%2C+Jianming%22">Xue, Jianming</searchLink><relatesTo>2</relatesTo><i> xuejianming104@163.com</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jul2026, Vol. 56 Issue 7, p2536-2540. 5p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+bounds%22">Mathematical bounds</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+functions%22">Numerical functions</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The purpose of this paper is to investigate the estimation of matrix numerical characteristics. We derive two upper bounds for the sum of the moduli of matrix eigenvalues. Meanwhile, we show estimations for the matrix spread. New bounds for the eigenvalue modulus, determinant, rank, as well as the real and imaginary parts of matrix eigenvalues are given. Furthermore, we propose four criteria for determining whether a matrix is non-singular. Finally, four numerical examples are provided to demonstrate the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=195026885
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 5
        StartPage: 2536
    Subjects:
      – SubjectFull: Eigenvalues
        Type: general
      – SubjectFull: Mathematical bounds
        Type: general
      – SubjectFull: Numerical functions
        Type: general
    Titles:
      – TitleFull: Estimation of Matrix Numerical Characteristics.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Hu, Xingkai
      – PersonEntity:
          Name:
            NameFull: Xue, Jianming
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 19929978
          Numbering:
            – Type: volume
              Value: 56
            – Type: issue
              Value: 7
          Titles:
            – TitleFull: IAENG International Journal of Applied Mathematics
              Type: main
ResultId 1