Indefinite least-squares problems and pseudo-regularity
نویسندگان
چکیده
منابع مشابه
Pseudo-spectral Least-squares Method for Elliptic Interface Problems
This paper develops least-squares pseudo-spectral collocation methods for elliptic boundary value problems having interface conditions given by discontinuous coefficients and singular source term. From the discontinuities of coefficients and singular source term, we derive the interface conditions and then we impose such interface conditions to solution spaces. We define two types of discrete l...
متن کاملLinear Least Squares Problems
A fundamental task in scientific computing is to estimate parameters in a mathematical model from collected data which are subject to errors. The influence of the errors can be reduced by using a greater number of data than the number of unknowns. If the model is linear, the resulting problem is then to “solve” an in general inconsistent linear system Ax = b, where A ∈ Rm×n and m ≥ n. In other ...
متن کاملLeast Squares Problems
Here we solve linear systems Ax = b that do not have a solution. If b is not in the column space of A, there is no x such that Ax = b. The best we can do is to find a vector y that brings left and right hand side of the linear system as close as possible, in other words y is chosen to make the distance between Ay and b as small as possible. That is, we want to minimize the distance ‖Ax − b‖2 ov...
متن کاملThe Equality Constrained Indefinite Least Squares Problem : Theory and Algorithms ∗ †
We present theory and algorithms for the equality constrained indefinite least squares problem, which requires minimization of an indefinite quadratic form subject to a linear equality constraint. A generalized hyperbolic QR factorization is introduced and used in the derivation of perturbation bounds and to construct a numerical method. An alternative method is obtained by employing a generali...
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: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.05.015