We generalise recent results of M. Hovey and N. Strickland on comodule categories for Landweber exact algebras using the formalism of algebraic stacks.

We investigate Hopf algebroids in the category of L-complete modules over a commutative Noetherian regular complete local ring. The main examples of interest in algebraic topology are the Hopf algebroids associated to Lubin-Tate spectra in the K(n)-local stable homotopy category, and we show that these have Landweber filtrations for all finitely generated discrete modules. Along the way we inve...

This paper investigates the modified Landweber iteration for nonlinear inverse problems, and a projected variant of this method for problems with convex constraints. Optimal convergence rates are derived for different kinds of source conditions and under mild nonlinearity conditions on the operator. The theoretical results are illustrated by numerical results.

PURPOSE The goal of this paper is to extend our recently developed FBP (filtered backprojection) algorithm, which has the same characteristics of an iterative Landweber algorithm, to an FBP algorithm with the same characteristics of an iterative MAP (maximum a posteriori) algorithm. The newly developed FBP algorithm also works when the angular sampling interval is not uniform. The projection no...

In a previous paper [5], the authors investigated extensively the Landweber-Araki Real cobordism spectrum MR ([1, 7]), and its stable summand at p = 2 called BPR. An Adams-like spectral sequence based on BPR was constructed, and homotopy groups of many spectra related to BPR were calculated. The goal of the present note is to begin investigating the question as to how BPR-theory contributes to ...

The projected Landweber method is an iterative method for solving constrained least-squares problems when the constraints are expressed in terms of a convex and closed set C. The convergence properties of the method have been recently investigated. Moreover, it has important applications to many problems of signal processing and image restoration. The practical difficulty is that the convergenc...