Iterative Solution Methods for Large Linear Discrete Ill-Posed Problems

摘要: This chapter discusses iterative methods for the solution of very large severely ill-conditioned linear systems equations that arise from discretization ill-posed problems. The right-hand side vector represents given data and is assumed to be contaminated by errors. Solution proposed in literature employ some form filtering reduce influence error on computed approximate solution. amount determined a parameter often referred as regularization parameter. We discuss how affects consider selection Methods which suitable value during computation without user intervention are emphasized. New based expanding explicitly chosen filter functions terms Chebyshev polynomials presented. properties these illustrated with applications image restoration.