Title
An efficient algorithm based on Lanczos type of BCR to solve constrained quadratic inverse eigenvalue problems.
Abstract
This paper proposes the Lanczos type of biconjugate residual (BCR) algorithm for solving the quadratic inverse eigenvalue problem L2XΛ2+L1XΛ+L0X=0 where L2, L1 and L0 should be partially bisymmetric under a prescribed submatrix constraint. An analysis reveals that the algorithm obtains the solutions of the constrained quadratic inverse eigenvalue problem in finitely many steps in the absence of round-off errors. Finally numerical results are performed to confirm the analysis and to illustrate the efficiency of the proposed algorithm.
Year
DOI
Venue
2019
10.1016/j.cam.2018.07.025
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
15A29,65J22,65F18,65F10
Residual,Inverse,Lanczos resampling,Mathematical analysis,Quadratic equation,Algorithm,Eigenvalues and eigenvectors,Mathematics
Journal
Volume
ISSN
Citations 
346
0377-0427
0
PageRank 
References 
Authors
0.34
18
1
Name
Order
Citations
PageRank
Masoud Hajarian134524.18