For a -matrix =+–, diagonal, Hermitian, is a candidate for being a closest normal matrix to . The additional, second-order optimality condition is reformu... L. LASZLO - 《Bit Numerical Mathematics》 被引量: 1发表: 2003年 On Eigenvalue Optimization In that framework we discuss first- ...
Another two main results are the presentation of all problem solutions, and a necessary and sufficient condition for constant inertia on the EIA or in a given frequency region, for a class of para-hermitian RMs, in terms of linear matrix inequalities. The latter result can be regarded as a ...
Using the existence condition of Hermitian matrix P=P∗ for a complex Lyapunov inequality, we proved that a fractional-order interval linear system is robust stable if and only if there exist Acknowledgment The reviewers’ comments, which have improved the quality of this paper, are greatly ...
linear matrix equationsbackward perturbation boundThis paper deals with the normwise perturbation theory for linear (Hermitian) matrix equations. The definition of condition number for the linear (Hermitian) matrix equations is presented. The lower and upper bounds for the condition number are derived....
In other words, the existence of a quadratic common Lyapunov function for the family of linear systems (2) guarantees global uniform exponential stability of Eq. (1). Lemma 4 All leading principal minors of a Hermitian matrix are real. A Hermitian matrix H is positive definite (i.e., x...
When is a matrix unitary or Hermitian plus low rank? Hermitian and unitary matrices are two representatives of the class of normal matrices whose full eigenvalue decomposition can be stably computed in quadra... Del Corso, Gianna M.Poloni, FedericoRobol, LeonardoVandebril, Raf - 《Numerical Line...
Convergence of waveform relaxation methods for Hermitian positive definite linear systems This paper studies the multi-splitting algorithm and the two-stage iterative method for waveform relaxation (WR) method, solving the initial value problems... S Zhou,TZ Huang - 《Applied Mathematics & Computation...
A necessary and sufficient condition for the derivation to be a Hermitian operator 来自 ResearchGate 喜欢 0 阅读量: 21 作者: T Lei 摘要: Author's summary: "For A∈ n×n , the orthogonal numerical range of the k-th order derivation δ n (k) (A) of n A means W ⊥ (δ n (...
On the choice of preconditioner for minimum residual methods for non-Hermitian matrices We consider the solution of left preconditioned linear systems P − 1 C x = P − 1 c , where P , C ∈ C n × n are non-Hermitian, c ∈ C n , and C , P ... Jennifer,Pestana,and,... ...
In other words, the existence of a quadratic common Lyapunov function for the family of linear systems (2) guarantees global uniform exponential stability of (1). are positive. Lemma 4 All leading principal minors of a Hermitian matrix are real. A Hermitian matrix H is positive de nite (i....