Note on a splitting approach to ill-conditioned least squares problems
نویسندگان
چکیده
منابع مشابه
Regularization of Large-scale Ill-conditioned Least Squares Problems Regularization of Large{scale Ill{conditioned Least Squares Problems
Ill{conditioned problems arise in important areas like geophysics, medical imaging and signal processing. The fact that the ill{cond-itioning is an intrinsic feature of these problems makes it necessary to develop special numerical methods to treat them. Regularization methods belong to this class. The lack of robust regularization methods for large{scale ill{cond-itioned problems motivated thi...
متن کاملRank-deficient and Ill-conditioned Nonlinear Least Squares Problems
In this paper we review classical results by Ben-Israel, Boggs, and Tanabe on algorithms for rank-deficient nonlinear least squares problems and compare them to our recent perturbation theory results for such problems. Using a simple example, we show how sufficiently large perturbations can lead to poor convergence or even incorrect results, and how the application of subset selection can solve...
متن کاملA Least Squares Approach to Estimating the Average Reservoir Pressure
Least squares method (LSM) is an accurate and rapid method for solving some analytical and numerical problems. This method can be used to estimate the average reservoir pressure in well test analysis. In fact, it may be employed to estimate parameters such as permeability (k) and pore volume (Vp). Regarding this point, buildup, drawdown, late transient test data, modified Muskat method, interfe...
متن کاملLeast-squares Polynomial Lters for Ill-conditioned Linear Systems
An important problem which arises in several applications is to nd the solution of an ill-conditioned Symmetric Semi-Positive Deenite linear system whose right-hand side is perturbed by noise. In this situation, it is desirable for the solution to be accurate in the directions of eigenvectors associated with large eigenvalues, and to have small components in the space associated with smallest e...
متن کاملchain least squares method and ill-posed problems
the main purpose of this article is to increase the efficiency of the least squares method in numerical solution of ill-posed functional and physical equations. determining the least squares of a given function in an arbitrary set is often an ill-posed problem. in this article, by defining artificial constraint and using lagrange multipliers method, the attempt is to turn -dimensional least squ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1975
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1975.101349