A comparative study between some non-iterative methods for the inverse scattering

Author(s):  
Gen Nakamura ◽  
Roland Potthast ◽  
Mourad Sini
Author(s):  
Charilaos C. Zarakovitis ◽  
Ilias G. Nikolaros ◽  
Dionysios Skordoulis ◽  
Marios G. Hadjinicolaou ◽  
Qiang Ni

2010 ◽  
Vol 10 (02) ◽  
pp. 165-186 ◽  
Author(s):  
Y. B. YANG ◽  
Y. J. CHEN

A comparative study is performed for the direct and iterative methods for updating the structural matrices based on measured data. The former was derived from the orthogonality constraints by replacing the modal vector of concern by the modal matrix in computing the correction matrices.1The iterative method used is the improved inverse eigensenstivity method.2Through the numerical studies, it was demonstrated that both methods yield good results. However, the direct updating method is found to be more suitable for engineering applications due to its ease in treating multi-modes and higher efficiency, especially for complicated structures.


2003 ◽  
Vol 02 (04) ◽  
pp. 563-571 ◽  
Author(s):  
HONG ZHANG ◽  
SEAN C. SMITH

We have recently developed a scaleable Artificial Boundary Inhomogeneity (ABI) method [Chem. Phys. Lett.366, 390–397 (2002)] based on the utilization of the Lanczos algorithm, and in this work explore an alternative iterative implementation based on the Chebyshev algorithm. Detailed comparisons between the two iterative methods have been made in terms of efficiency as well as convergence behavior. The Lanczos subspace ABI method was also further improved by the use of a simpler three-term backward recursion algorithm to solve the subspace linear system. The two different iterative methods are tested on the model collinear H+H 2 reactive state-to-state scattering.


2006 ◽  
Vol 187 (1) ◽  
pp. 7-37 ◽  
Author(s):  
Naofumi Honda ◽  
Gen Nakamura ◽  
Roland Potthast ◽  
Mourad Sini

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