ill-posed problem
A New Regularized Solution to Ill Posed Problem in Coordinate Transformation
... an ill-condi- tioned coefficient matrix depends on the type of ill-con- dition of ...of ill-posed ...discrete ill-posed problem that all of the singular values of A, on ...
7
Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations
... initial-boundary-value problem for the linear heat equation in a two-dimensional spatial domain Ω with the boundary ∂Ω by single-layer techniques leads to a mixed system of Volterra–Fredholm in- tegral ...the ...
25
Regularization of Ill-Posed Point Neuron Models
... and the purpose of this paper is to analyze the limit process β → ∞. This inves- tigation is motivated by the fact that the stable numerical solution of an ill-posed problem is very difficult, if not ...
23
Ill-Posed Problems
... If, alternatively, s is a small positive number, then the exponent 2 + 5 is large and the solution y1(t) at t = 1 will be a very large number; this number will be the larger the smaller is s. For s → 0 (i.e., for m → 3), ...
9
No-Regret Optimal Control Characterization for an Ill-Posed Wave Equation
... problem) without requiring Slater hypothesis i.e. the set of admissible controls has a non-empty interior (see [1] and [9]), which is a strong hypothesis for this we’ll try to avoid this condition by making ...
5
On the control of ill-posed distributed parameter systems
... Abstract. We show that the so-called low-regret (or least-regret) control by J. L. Lions [8] fits on the control of ill-posed problems. At each time, we give the characterization of the so-called no-regret ...
17
Expanding the applicability of Lavrentiev regularization methods for ill-posed problems
... the problem of approximating a solution of an ill-posed problem in a Hilbert space setting using the Lavrentiev regularization method and, in particular, expanding the applicability of this ...
15
Surface temperature determination from Borehole measurements: Regularization and error estimates
... As is well-known, this is an ill-posed problem Using the Tikhonov method, the authors give a regularized solution, and assuming the unknown exact solution is in HR,a > 0 They give an err[r] ...
5
Sensitivity of test of significance problem posed
... We wish to decide from the sample, using the test c, whether in the population the value of /x could plausibly be taken as zero hypothesis H„ or whether /x has probably some value greate[r] ...
10
An iterative regularization method for an abstract ill-posed biparabolic problem
... the problem of approximating a solution of an ill-posed biparabolic problem in the abstract ...original problem, we propose a regularizing strategy based on the Kozlov-Maz’ya iteration ...
17
A discrete model for an ill-posed nonlinear parabolic PDE
... ÒQÙQËtÏ<áNÛhËtÏ×[Ï×0ÎSÚ0Ë^è,ÎDÓBã,ÎDÙQÖ`ÎSÉGÝrÊ%ÏÓ%Î`Ê%Ê`àIVXWAY Z ÔoÞ É6ÚQÎ`Í^Ë/ÙQã;Ê¢ÏÓ%Î`ÊBÊ>Ìá[Ï×QÎèGÎ`ÖDÏBÉ,Ó[Y Z E]\^VDC`_abVcCa àQË^Ù. Ûh×QË^Ö×\ Ë/Ê4ÏB×QÎ=émÐ(ÏÓBËâcÓBÎ`È0ÓB[r] ...
40
Logarithm of a Function, a Well Posed Inverse Problem
... inverse problem that consists in finding the logarithm of a ...inverse problem exists and is unique if a branch of the logarithm is ...the problem exists and is unique if a branch of the logarithm is ...
5
Regularization of nonlinear Ill-posed equations with accretive operators
... [2] , Metric and generalized projection operators in Banach spaces: Properties and applica- tions, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type (A. Karts[r] ...
23
The Significance of Solutions Obtained from Ill Posed Systems of Linear Equations Constituted by Synchrotron Radiation Based Anomalous Small Angle X Ray Scattering
... of ill-posed linear equations via condition numbers, but the condition numbers are different in the two publications due to their different ...of ill-posed SLEs thereby providing a powerful ...
23
V-Matrix Method of Solving Statistical Inference Problems
... In the next subsections, we describe the conditions under which it is possible to solve equation (28), where both the right-hand side and the operator are defined approximately. We first discuss the general theory for ...
48
Unfolding in particle physics: a window on solving inverse problems
... the problem of unfolding can be approached in a variety of manners that involve the evolution of old ideas and their merging with new ...the problem at hand and unfolding schemes are used in science beyond ...
32
3 D EIT Image Reconstruction Using a Block Based Compressed Sensing Approach
... In this paper, we presented a time and memory efficient method for solving a large scale 3D EIT image recon- struction problem and the ill-posed linear inverse problem. For a 72-electrode EIT ...
7
OPTIMAL CONTROL FOR A CONTROLLED ILL-POSED WAVE EQUATION WITHOUT REQUIRING THE SLATER HYPOTHESIS
... an ill-posed wave equation [4, 5], to reach our goal, we start by assuming that when taking the control in some dense space of L 2 (Q), the problem becomes ...the ill-posed equation. ...
11
Regularization of ill posed mixed variational inequalities with non monotone perturbations
... In this paper, we study a regularization method for ill-posed mixed variational inequalities with non-monotone perturbations in Banach spaces. The convergence and convergence rates of regularized solutions ...
11
Average case complexity without the black swans
... relevant, problem would be to study the ratio of singular values for a stochastic model of sparse and structured matrices, such as those that might arise in the discretisation of partial differential equations ...
20