The nearest de®nite pair for the Hermitian generalized eigenvalue problem

اسناد مشابه

• Perturbation of Partitioned Hermitian Generalized Eigenvalue Problem

  سند علمی۲۰۱۰Ninoslav Truhar

  We are concerned with the perturbation of a multiple eigenvalue μ of the Hermitian matrix A = diag(μI,A22) when it undergoes an off-diagonal perturbation E whose columns have widely varying magnitudes. When some of E’s columns are much smaller than the others, some copies of μ ar

• The nearest definite pair for the Hermitian generalized eigenvalue problem

  مقاله‌ی دسترسی آزاد۱۹۹۹Linear Algebra and its ApplicationsSheung HunCheng, Nicholas J.Higham

• Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems

  سند علمی۲۰۱۱SIAM J. Matrix Analysis ApplicationsRen-Cang Li, Yuji Nakatsukasa, Ninoslav Truhar, Shufang Xu

  This paper is concerned with the Hermitian definite generalized eigenvalue problem A− λB for block diagonal matrices A 1⁄4 diagðA11; A22Þ and B 1⁄4 diagðB11; B22Þ. Both A and B are Hermitian, and B is positive definite. Bounds on how its eigenvalues vary when A and B are perturbe

• Convergence analysis of a locally accelerated preconditioned steepest descent method for Hermitian-definite generalized eigenvalue problems

  سند علمی۲۰۱۶Yunfeng Cai, Zhaojun Bai, John E. Pask, N. Sukumar

  By extending the classical analysis techniques due to Samokish, Faddeev and Faddeeva, and Longsine and McCormick among others, we prove the convergence of preconditioned steepest descent with implicit deflation (PSD-id) method for solving Hermitian-definite generalized eigenvalue

• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry

  مقاله‌ی دسترسی آزاد۲۰۲۱Physical review['Takuma Isobe', 'Tsuneya Yoshida', 'Yasuhiro Hatsugai', '']

  So far, topological band theory is discussed mainly for systems described by eigenvalue problems. Here, we develop a generalized problem (GEVP). Our analysis elucidates that non-Hermitian structures may emerge GEVP with Hermitian matrices. The above result verified analyzing two-

• Solving the real eigenvalues of hermitian quadratic eigenvalue problems via bisection

  سند علمی۲۰۱۷Hao Li, Yunfeng Cai, HAO LI, YUNFENG CAI

  This paper considers solving the real eigenvalues of the Quadratic Eigenvalue Problem (QEP) Q(λ)x ≡ (λM+λC+K)x = 0 in a given interval (a, b), where the coefficient matrices M , C, K are Hermitian and M is nonsingular. First, an inertia theorem for the QEP is proven, which charac