scholarly journals A backward error for the symmetric generalized inverse eigenvalue problem

2015 ◽  
Vol 464 ◽  
pp. 90-99 ◽  
Author(s):  
Wei Ma
Keyword(s):  
Eigenvalue Problem ◽  
Generalized Inverse ◽  
Inverse Eigenvalue Problem ◽  
Backward Error ◽  
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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