Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation | Zendy

Zhigang Jia | Zendy; Meixiang Zhao | Zendy; Minghui Wang | Zendy; Sitao Ling | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation

Author(s) -

Zhigang Jia,

Meixiang Zhao,

Minghui Wang,

Sitao Ling

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/681605

Subject(s) - mathematics , matrix polynomial , hermitian matrix , boundary value problem , self adjoint operator , algebraic number , iterative method , algebraic equation , perturbation (astronomy) , matrix (chemical analysis) , mathematical analysis , positive definite matrix , polynomial , pure mathematics , mathematical optimization , eigenvalues and eigenvectors , physics , materials science , hilbert space , nonlinear system , quantum mechanics , composite material

The solvability theory of an important self-adjoint polynomial matrix equation is presented, including the boundary of its Hermitian positive definite (HPD) solution and some sufficient conditions under which the (unique or maximal) HPD solution exists. The algebraic perturbation analysis is also given with respect to the perturbation of coefficient matrices. An efficient general iterative algorithm for the maximal orunique HPD solution is designed and tested by numerical experiments

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research