ill-posed problem

ill-posed problem

[′il ¦pōzd ′präb·ləm]
(mathematics)
A problem which may have more than one solution, or in which the solutions depend discontinuously upon the initial data. Also known as improperly posed problem.
References in periodicals archive ?
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 (see, e.
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).
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.
ill-posed problem, 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.
Ill-posed problem, 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.