CONSTRUCTION OF FULL H-MATRICES WITH THE GIVEN EIGENVALUES BASED ON THE GIVENS MATRICES | Zendy

Jicheng Li | Zendy; Guiling Zhang | Zendy; Nana Wang | Zendy; Li Guo | Zendy; Chengyi Zhang | Zendy

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CONSTRUCTION OF FULL H-MATRICES WITH THE GIVEN EIGENVALUES BASED ON THE GIVENS MATRICES

Author(s) -

Jicheng Li,

Guiling Zhang,

Nana Wang,

Li Guo,

Chengyi Zhang

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.81

Subject(s) - diagonally dominant matrix , mathematics , eigenvalues and eigenvectors , diagonal , matrix (chemical analysis) , inverse , combinatorics , square matrix , pure mathematics , symmetric matrix , invertible matrix , geometry , physics , quantum mechanics , materials science , composite material

The inverse eigenvalue problem is about how to construct a desired matrix whose spectrum is the given number set. In this paper, in view of the Givens matrices, we prove that there exist three classes of full H-matrices which include strictly diagonally dominant full matrix, α-strictly diagonally dominant full matrix and α-double strictly diagonally dominant full matrix, and their spectrum are all the given number set. In addition, we design some numerical algorithms to explain how to construct the above-mentioned full H-matrices.

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