Open AccessThe Inverse Eigenvalue Problem for Paw Form Matrices with Functional Relationship
Author(s) -
Zhibin Li,
Yunfei Wang
Publication year - 2017
Publication title -
destech transactions on engineering and technology research
Language(s) - English
Resource type - Journals
ISSN - 2475-885X
DOI - 10.12783/dtetr/sste2016/6494
Subject(s) - eigenvalues and eigenvectors , mathematics , inverse , column (typography) , diagonal , inverse iteration , divide and conquer eigenvalue algorithm , diagonal matrix , inverse problem , mathematical analysis , geometry , physics , connection (principal bundle) , quantum mechanics
This paper researches the inverse eigenvalue problem for paw form matrices. Paw form matrices with all non-zeros laying in the diagonal, the first and last column and last row, the first column for last column with functional relationship. The inverse eigenvalue problem with two eigenvalue of paw form matrices is discussed. Using the method for solving equation systems, the conditions of the exist of its unique solution and the expressions of the solution are obtained. The numerical algorithm and examples are given.
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