TY - JOUR T1 - Some Refined Eigenvalue Perturbation Bounds for Two-by-Two Block Hermitian Matrices 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.