Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography

@article{OConnell2017ComputingRO,
  title={Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography},
  author={Meghan O'Connell and Misha Elena Kilmer and Eric de Sturler and Serkan Gugercin},
  journal={SIAM J. Sci. Comput.},
  year={2017},
  volume={39}
}
In nonlinear imaging problems whose forward model is described by a partial differential equation (PDE), the main computational bottleneck in solving the inverse problem is the need to solve many large-scale discretized PDEs at each step of the optimization process. In the context of absorption imaging in diffuse optical tomography, one approach to addressing this bottleneck proposed recently (de Sturler, et al, 2015) reformulates the viewing of the forward problem as a differential algebraic… 
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