Journal ArticleDOI
On computing the best least squares solutions in Hilbers space
Reads0
Chats0
TLDR
In this paper, an iterative method for computing the best least squares solution ofAx = b, for a bounded linear operator A with closed range, is formulated and studied in Hilbert space.Abstract:
An iterative method for computing the best least squares solution ofAx=b, for a bounded linear operatorA with closed range, is formulated and studied in Hilbert space. Convergence of the method is characterized in terms ofKU-positive definite operators. A discretization theory for the best least squares problems is presented.read more
Citations
More filters
Journal ArticleDOI
Calculating the best approximate solution of an operator equation
Henry Wolkowicz,S. Zlobec +1 more
TL;DR: In this paper, two classes of methods for calculating the best approximate solution of an operator equation in Banach spaces, where the operator is bounded, linear and has closed range, are presented.
References
More filters
Book
Matrix iterative analysis
TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.
Book
Introduction to functional analysis
Angus E. Taylor,P. J. Davis +1 more
TL;DR: The second edition of the paper this paper incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analytically oriented courses in this paper.
Journal ArticleDOI
Numerical methods for solving linear least squares problems
TL;DR: This paper considers stable numerical methods for handling linear least squares problems that frequently involve large quantities of data, and they are ill-conditioned by their very nature.