This is a very complex, ill-posed problem
with numerous sources of noise and signal contamination.
indeed, the SVD of A is commonly considered the most useful tool for the analysis of discrete ill-posed problem
Stanculescu, Iuliana, University of Pittsburgh, Turbulence modeling as an ill-posed problem
This is an ill-posed problem
, and there are several difficulties connected with the solution of these problems (1,2).
n] approaches an operator A of an infinite-dimensional ill-posed problem
This is extremely useful because it allows us to link severely ill-posed inverse problems for the heat equation to similar but mildly ill-posed problem
for the wave equation.
, inverse problem, solution constraint, Lanczos methods, Gauss quadrature.
Some of the regularized solutions of a discrete ill-posed problem
are less sensitive than others to the perturbations in the right-hand side vector.
, regularization, L-curve, Gauss quadrature.
Hanke deals solely with linear inverse problems, and his treatment differs from the many others by giving comparable weight to the general theory of ill-posed problems
and to details of a variety of applications.
Scherzer, "A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
," Numerische Mathematik, vol.
For solving ill-posed problems
regularizing algorithms containing several variable parameters may be fruitful, because a proper selection of parameters involved sometimes improves the convergence properties, reduces the amount of computation, and provides a wider choice of initial guesses.