scholarly journals An extension of the Cayley transform method for a parameterized generalized inverse eigenvalue problem

2020 ◽  
Vol 27 (6) ◽  
Author(s):  
Zeynab Dalvand ◽  
Masoud Hajarian ◽  
Jose E. Roman
Keyword(s):  
Eigenvalue Problem ◽  
Generalized Inverse ◽  
Inverse Eigenvalue Problem ◽  
Cayley Transform ◽  
Transform Method ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document