Linear Algebra and Inverse Problems

Inverse problems arise in many important applications, including medical imaging, microscopy, geophysics, and astrophysics. Because they often involve large scale, extremely ill-conditioned linear systems, linear algebra problems associated with inverse problems are extremely challenging to solve, both mathematically and computationally. Solution schemes require enforcing regularization, using for example prior information and/or by imposing constraints on the solution. In addition, matrix approximations and fast algorithms for structured matrices must be employed. The speakers in this minisymposium will report on recent research developments involving linear algebra aspects of inverse problems, including algorithms and other computational issues.