The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices

Feng Wang; Deshu Sun

Open Mathematics (2015)

  • Volume: 13, Issue: 1
  • ISSN: 2391-5455

Abstract

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The theory of Schur complement plays an important role in many fields, such as matrix theory and control theory. In this paper, applying the properties of Schur complement, some new estimates of diagonally dominant degree on the Schur complement of I(II)-block strictly diagonally dominant matrices and I(II)-block strictly doubly diagonally dominant matrices are obtained, which improve some relative results in Liu [Linear Algebra Appl. 435(2011) 3085-3100]. As an application, we present several new eigenvalue inclusion regions for the Schur complement of matrices. Finally, we give a numerical example to illustrate the advantages of our derived results.

How to cite

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Feng Wang, and Deshu Sun. "The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/275998>.

@article{FengWang2015,
abstract = {The theory of Schur complement plays an important role in many fields, such as matrix theory and control theory. In this paper, applying the properties of Schur complement, some new estimates of diagonally dominant degree on the Schur complement of I(II)-block strictly diagonally dominant matrices and I(II)-block strictly doubly diagonally dominant matrices are obtained, which improve some relative results in Liu [Linear Algebra Appl. 435(2011) 3085-3100]. As an application, we present several new eigenvalue inclusion regions for the Schur complement of matrices. Finally, we give a numerical example to illustrate the advantages of our derived results.},
author = {Feng Wang, Deshu Sun},
journal = {Open Mathematics},
keywords = {I(II)-Block strictly diagonally dominant matrix; I(II)-Block strictly doubly diagonally dominant matrix; Diagonally dominant degree; Eigenvalue},
language = {eng},
number = {1},
pages = {null},
title = {The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices},
url = {http://eudml.org/doc/275998},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Feng Wang
AU - Deshu Sun
TI - The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - The theory of Schur complement plays an important role in many fields, such as matrix theory and control theory. In this paper, applying the properties of Schur complement, some new estimates of diagonally dominant degree on the Schur complement of I(II)-block strictly diagonally dominant matrices and I(II)-block strictly doubly diagonally dominant matrices are obtained, which improve some relative results in Liu [Linear Algebra Appl. 435(2011) 3085-3100]. As an application, we present several new eigenvalue inclusion regions for the Schur complement of matrices. Finally, we give a numerical example to illustrate the advantages of our derived results.
LA - eng
KW - I(II)-Block strictly diagonally dominant matrix; I(II)-Block strictly doubly diagonally dominant matrix; Diagonally dominant degree; Eigenvalue
UR - http://eudml.org/doc/275998
ER -

References

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