By Henryk Gzyl

ISBN-10: 981433877X

ISBN-13: 9789814338776

The ebook describes a useful gizmo for fixing linear inverse difficulties topic to convex constraints. the tactic of utmost entropy within the suggest immediately looks after the limitations. It comprises a method for reworking a wide dimensional inverse challenge right into a small dimensional non-linear variational challenge. numerous mathematical points of the utmost entropy process are explored in addition.

Show description

Read or Download Linear Inverse Problems: The Maximum Entropy Connection PDF

Similar linear programming books

Download PDF by R. Tyrrell Rockafellar, Roger J.-B. Wets, Maria Wets: Variational analysis

From its origins within the minimization of vital functionals, the inspiration of 'variations' has advanced enormously in reference to functions in optimization, equilibrium, and keep an eye on. It refers not just to restricted circulation clear of some extent, but in addition to modes of perturbation and approximation which are most sensible describable via 'set convergence', variational convergence of capabilities' and so on.

Get The SIAM 100-Digit Challenge: A Study in High-Accuracy PDF

It is a stable publication containing much approximately excessive accuracy computation. Ten difficulties are mentioned with info concerning many parts of arithmetic. loads of codes of many arithmetic software program are proven with a beneficial appendix. an online web page of this publication can be a spotlight. it's also possible to perform with it exhaustingly and enjoyably.

New PDF release: Multivalued Analysis and Nonlinear Programming Problems with

From the reviews:"The objective of this publication is to review endless dimensional areas, multivalued mappings and the linked marginal features … . the cloth is gifted in a transparent, rigorous demeanour. along with the bibliographical reviews … references to the literature are given in the textual content. … the unified method of the directional differentiability of multifunctions and their linked marginal features is a impressive function of the booklet … .

Vladimir Tsurkov's Hierarchical Optimization and Mathematical Physics PDF

This booklet can be regarded as an advent to a unique dass of hierarchical structures of optimum regulate, the place subsystems are defined by means of partial differential equations of varied kinds. Optimization is performed by way of a two-level scheme, the place the guts optimizes coordination for the higher point and subsystems locate the optimum options for autonomous neighborhood difficulties.

Extra info for Linear Inverse Problems: The Maximum Entropy Connection

Example text

L. “Flying Buttresses, Entropy and O. Rings”. Harvard Univ. Press, Cambridge, 1991. [10] Shepp, L. A. and Kruskal, J. B. “Computerized Tomography: the new medical X-ray technology”. Ann. Math. Monthly, Vol. 85 (1978) pp. 420-439. [11] Panton, D. “Mathematical reconstruction techniques in computer axial tomography”. Math. Scientist, Vol. 6 (1981), pp. 87-102. , Hermann, A. and Lackner, K. “Two-dimensional reconstruction of the radiation power density in ASDEX upgrade”. 21st. S. Conf. on Controlled Fusion and Plasma Physics.

9. Given a regularization scheme Rα for an operator A, a choice of regularization parameter α = α(ε) depending on the error level ε is called regular if for any y ∈ A(V ) and any y(ε) with y(ε) − y ≤ ε we have Rα(ε) y(ε) → A−1 y as ε ↓ 0. Comment: In other words, for a regular scheme, the approximate solution is near the true solution when the approximate data is near the true data. 7, and we do not demand that A−1 be continuous (if it exists). 10. , if x1 , x2 ∈ V1 and Ax1 = Ax2 = y, then x1 = x2 .

This happens when for example, f (t) is the response of a linear system. As started above, the problem belongs to the class of generalized moment problems. , f˜(sn ). First approach: Just solve for f (t) given the finite data. , n; then invert the Laplace transform assuming that f˜l (s) is the right Laplace transform of the unknown f. A collection of linear inverse problems 11 We shall have more to say about both approaches. , n. 5 Fourier reconstruction from partial data Let f (t) be a real-valued, function defined on an interval [0, T ].

Download PDF sample

Linear Inverse Problems: The Maximum Entropy Connection by Henryk Gzyl

by Robert

Rated 4.99 of 5 – based on 17 votes