On the Solvability Condition and Numerical Algorithm for the Parameterized Generalized Inverse Eigenvalue Problem

2015 ◽  
Vol 36 (2) ◽  
pp. 707-726 ◽  
Author(s):  
Hua Dai ◽  
Zhong-Zhi Bai ◽  
Ying Wei
Keyword(s):  
Eigenvalue Problem ◽  
Numerical Algorithm ◽  
Generalized Inverse ◽  
Solvability Condition ◽  
Inverse Eigenvalue Problem ◽  
Generalized Inverse Eigenvalue Problem ◽  
Inverse Eigenvalue

scholarly journals Explicit solution for an infinite dimensional generalized inverse eigenvalue problem

2001 ◽  
Vol 26 (9) ◽  
pp. 513-523 ◽  
Author(s):  
Kazem Ghanbari
Keyword(s):  
Eigenvalue Problem ◽  
Spectral Function ◽  
Spectral Data ◽  
Explicit Solution ◽  
Generalized Inverse ◽  
Jacobi Matrix ◽  
Inverse Eigenvalue Problem ◽  
Infinite Dimensional ◽  
Generalized Inverse Eigenvalue Problem ◽  
Inverse Eigenvalue

We study a generalized inverse eigenvalue problem (GIEP),Ax=λBx, in whichAis a semi-infinite Jacobi matrix with positive off-diagonal entriesci>0, andB= diag (b0,b1,…), wherebi≠0fori=0,1,…. We give an explicit solution by establishing an appropriate spectral function with respect to a given set of spectral data.

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