Singular-value decomposition method in atomic scattering

2003 ◽  
Vol 81 (10) ◽  
pp. 1215-1221 ◽  
Author(s):  
E Zerrad ◽  
A -S Khan ◽  
K Zerrad ◽  
G Rawitscher
Keyword(s):  
Wave Function ◽  
Phase Shift ◽  
Singular Value Decomposition ◽  
Differential Equations ◽  
Decomposition Method ◽  
Integral Kernel ◽  
Singular Value ◽  
Singular Value Decomposition Method ◽  
Atomic Scattering ◽  
Value Decomposition

A new numerical method for solving the integro-differential equations that appear in the theory of atomic scattering is devised. It consists of decomposing the kernel into separable terms via the method of singular-value decomposition. A set of integro-differential equations involving the residual integral kernel are then solved to obtain the wave function and from this the phase shift is evaluated. PACS Nos.: 23.23.+x, 56.65.DY

scholarly journals A modified truncation singular value decomposition method for solving ill-posed problems

2018 ◽  
Vol 13 ◽  
pp. 174830181881360 ◽  
Author(s):  
Zhenyu Zhao ◽  
Riguang Lin ◽  
Zehong Meng ◽  
Guoqiang He ◽  
Lei You ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Decomposition Method ◽  
Singular Value ◽  
Numerical Results ◽  
New Method ◽  
Truncated Singular Value Decomposition ◽  
Singular Value Decomposition Method ◽  
Ill Posed ◽  
Value Decomposition

A modified truncated singular value decomposition method for solving ill-posed problems is presented in this paper, in which the solution has a slightly different form. Both theoretical and numerical results show that the limitations of the classical TSVD method have been overcome by the new method and very few additive computations are needed.

scholarly journals A constrained singular value decomposition method that integrates sparsity and orthogonality

PLoS ONE ◽  
2019 ◽  
Vol 14 (3) ◽  
pp. e0211463 ◽  
Author(s):  
Vincent Guillemot ◽  
Derek Beaton ◽  
Arnaud Gloaguen ◽  
Tommy Löfstedt ◽  
Brian Levine ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Decomposition Method ◽  
Singular Value ◽  
Singular Value Decomposition Method ◽  
Value Decomposition
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