Linear and nonlinear inverse problems with practical applications / Jennifer Mueller, Colorado State University, Fort Collins, Colorado, Samuli Siltanen, University of Helsinki, Helsinki, Finland.

Includes bibliographical references (pages 311-347) and index.

Na�ive reconstruction and inverse crimes -- Ill-posedness in inverse problems -- Truncated singular value decomposition -- Tikhonov regularization -- Total variation regularization -- Besov space regularization using wavelets -- Discretization-invariance -- Practical X-ray tomography with limited data -- Projects -- Nonlinear inverse problems -- Nonlinear inversion -- Electrical impedance tomography -- Simulation of noisy EIT data -- Complex geometrical optics solutions -- A regularized D-bar method for direct EIT -- Other direct solution methods for EIT -- Projects -- Banach spaces and Hilbert spaces -- Mappings and compact operators -- Fourier transform and Sobolev spaces -- Iterative solution of linear equations.