full
search.png

Search

close.png

Cancel

arrow
Volume 5, Issue 2
Some Refined Eigenvalue Perturbation Bounds for Two-by-Two Block Hermitian Matrices

Xianping Wu, Wen Li & Xiaofei Peng

DOI: 10.4208/eajam.201114.150315a

East Asian J. Appl. Math., 5 (2015), pp. 126-137.

Published online: 2018-02

Preview Purchase PDF 2416 30257

Cited by

google scholar semantic scholar
Export citation
  • Abstract

We consider eigenvalue perturbation bounds for Hermitian matrices, which are associated with problems arising in various computational science and engineering applications. New bounds are discussed that are sharper than some existing ones, including the well-known Weyl bound. Two numerical examples are investigated, to illustrate our theoretical presentation.

  • Keywords

Eigenvalue perturbation, Hermitian block matrix, Weyl bound.

  • AMS Subject Headings

65F10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{EAJAM-5-126, author = {Xianping Wu, Wen Li and Xiaofei Peng}, title = {Some Refined Eigenvalue Perturbation Bounds for Two-by-Two Block Hermitian Matrices}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {5}, number = {2}, pages = {126--137}, abstract = {

We consider eigenvalue perturbation bounds for Hermitian matrices, which are associated with problems arising in various computational science and engineering applications. New bounds are discussed that are sharper than some existing ones, including the well-known Weyl bound. Two numerical examples are investigated, to illustrate our theoretical presentation.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.201114.150315a}, url = {http://global-sci.org/intro/article_detail/eajam/10784.html} }
TY - JOUR T1 - Some Refined Eigenvalue Perturbation Bounds for Two-by-Two Block Hermitian Matrices AU - Xianping Wu, Wen Li & Xiaofei Peng JO - East Asian Journal on Applied Mathematics VL - 2 SP - 126 EP - 137 PY - 2018 DA - 2018/02 SN - 5 DO - http://doi.org/10.4208/eajam.201114.150315a UR - https://global-sci.org/intro/article_detail/eajam/10784.html KW - Eigenvalue perturbation, Hermitian block matrix, Weyl bound. AB -

We consider eigenvalue perturbation bounds for Hermitian matrices, which are associated with problems arising in various computational science and engineering applications. New bounds are discussed that are sharper than some existing ones, including the well-known Weyl bound. Two numerical examples are investigated, to illustrate our theoretical presentation.

Xianping Wu, Wen Li and Xiaofei Peng. (2018). Some Refined Eigenvalue Perturbation Bounds for Two-by-Two Block Hermitian Matrices. East Asian Journal on Applied Mathematics. 5 (2). 126-137. doi:10.4208/eajam.201114.150315a
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard