Results 251 to 260 of about 471,877 (274)
Some of the next articles are maybe not open access.
Regularization in Banach spaces — convergence rates by approximative source conditions
Journal of Inverse and Ill-posed Problems, 2009The author considers the linear ill-posed equation \(Ax=y^\delta\), where \(A:X\rightarrow Y\) is a bounded linear operator between two reflexive Banach spaces, and the data \(y\) is unknown, with only the estimate \(\|y-y^\delta\|< \delta\) available.
openaire +2 more sources
Tikhonov regularization in Banach spaces—improved convergence rates results
Inverse Problems, 2009In this paper, we deal with convergence rates for a Tikhonov-like regularization approach for linear ill-posed problems in Banach spaces. Here, we deal with the so-called distance functions which quantify the violation of an introduced reference source condition.
openaire +1 more source
Regularization and convergence for ill-posed backward evolution equations in Banach spaces
Journal of Differential Equations, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, De-Han, Hofmann, Bernd, Zou, Jun
openaire +1 more source
Regular Convergence In A Paracompact Space.
1961PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/185342/2/6106435 ...
openaire +2 more sources
Acta Mathematicae Applicatae Sinica, English Series, 2006
The paper is concerned with approximate methods for solving the linear operator equation \(Wr=d_n\), where \(r\) belongs to an input Hilbert space \(R\) and \(d_n=d_{true}+n\) belongs to an output Hilbert space \(D\), and \(n\) is a random vector containing a noise or an error.
Wang, Yanfei, Ma, Qinghua
openaire +2 more sources
The paper is concerned with approximate methods for solving the linear operator equation \(Wr=d_n\), where \(r\) belongs to an input Hilbert space \(R\) and \(d_n=d_{true}+n\) belongs to an output Hilbert space \(D\), and \(n\) is a random vector containing a noise or an error.
Wang, Yanfei, Ma, Qinghua
openaire +2 more sources
On Tikhonov regularization in Banach spaces – optimal convergence rates results
Applicable Analysis, 2009In the present article, we deal with convergence rates for a Tikhonov-like regularization approach for linear and non-linear ill-posed problems in Banach spaces. Under validity of a source condition, we derive convergence rates which are well known as optimal in a Hilbert space situation.
openaire +1 more source
Regularization of ill-posed problems in Banach spaces: convergence rates
Inverse Problems, 2005Given a (not necessarily reflexive) Banach space \(X\), a Hilbert space \(H\) and a linear bounded compact operator \(A: X\to H\), the author considers regularization methods for solving the equation \(Ax= y\); estimates between the regularized solutions and the true solutions of \(Ax= y\), using a priori information on the solutions (also called ...
openaire +1 more source
Convex Tikhonov regularization in Banach spaces: New results on convergence rates
Journal of Inverse and Ill-posed Problems, 2015Abstract Tikhonov regularization in Banach spaces with convex penalty and convex fidelity term for linear ill-posed operator equations is studied. As a main result, convergence rates in terms of the Bregman distance of the regularized solution to the exact solution is proven by imposing a generalization of the established variational ...
openaire +1 more source
T-Regular-Closed Convergence Spaces
Proceedings of the American Mathematical Society, 1975Kent, Darrell C. +2 more
openaire +1 more source