HyBR
swMATH ID:  29132 
Software Authors:  
Description:  Hybrid Bidiagonalization Regularization (HyBR). Hybrid regularization methods have been proposed as effective approaches for solving largescale illposed inverse problems. These methods restrict the solution to lie in a Krylov subspace, but they are hindered by semiconvergence behavior, in that the quality of the solution first increases and then decreases. Hybrid methods apply a standard regularization technique, such as Tikhonov regularization, to the projected problem at each iteration. Thus, regularization in hybrid methods is achieved both by Krylov filtering and by appropriate choice of a regularization parameter at each iteration. 
Homepage:  http://www.math.vt.edu/people/jmchung/hybr.html 
Source Code:  https://github.com/juliannechung/genHyBR 
Dependencies:  Matlab 
Related Software:  Regularization tools; IR Tools; AIR tools; GKBFP; RestoreTools; CRAIG; LSQR; ForWaRD; LSMR; NETT; UTV; Matlab 
Cited in:  8 Documents 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Generalized hybrid iterative methods for largescale Bayesian inverse problems. Zbl 1422.65065 Chung, Julianne; Saibaba, Arvind K. 
2017

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top 5
Cited by 13 Authors
Cited in 5 Serials
3  SIAM Journal on Scientific Computing 
2  Inverse Problems 
1  Journal of Computational and Applied Mathematics 
1  Applied Numerical Mathematics 
1  Numerical Algorithms 
Cited in 5 Fields
8  Numerical analysis (65XX) 
3  Linear and multilinear algebra; matrix theory (15XX) 
1  Statistics (62XX) 
1  Computer science (68XX) 
1  Biology and other natural sciences (92XX) 