Well and Ill-Posed Problems
Ill-Posed Problems
... studying ill-posed problems stems from one of the main problems in applied mathematics, gaining reliable computing results with due allowance for errors that inevitably occur in setting ...
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Cascadic multilevel methods for ill-posed problems
... of well-posed problems, such as certain boundary value problems for partial differential equations and Fredholm integral equations of the second ...linear ill-posed ...
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Iterative regularization methods for ill-posed problems
... In the past decade of research, in the area of inverse and ill-posed problems, a great deal of attention has been devoted to the regularization in the Banach space setting. The research on ...
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A new method for solving linear ill-posed problems
... Linear Ill-posed Problems Jianjun Zhang ∗ Musa Mammadov † Abstract In this paper, we propose a new method for solving large-scale ill-posed problems based on the ...
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Expanding the applicability of Lavrentiev regularization methods for ill-posed problems
... 2. Engl, HW, Hanke, M, Neubauer, A: Regularization of Inverse Problems. Kluwer, Dordrecht (1993) 3. Engl, HW, Kunisch, K, Neubauer, A: Convergence rates for Tikhonov regularization of nonlinear ...
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Fractional regularization matrices for linear discrete ill-posed problems
... severely ill-conditioned and may be singular. This kind of least-squares problems often are referred to as discrete ill-posed ...linear ill-posed problems, such as ...
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The adaptive augmented GMRES method for solving ill-posed problems
... discrete ill-posed problems C656 and in computations of sharp images from blurred ...of ill-determined rank are referred to as linear discrete ill-posed problems and are ...
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Regularization matrices for discrete ill-posed problems in several space-dimensions
... PROBLEMS IN SEVERAL SPACE-DIMENSIONS LAURA DYKES ∗ , GUANGXIN HUANG † , SILVIA NOSCHESE ‡ , AND LOTHAR REICHEL § ...discrete ill-posed problems that are obtained by the discretization of a ...
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A new highly anti-interference regularization method for ill-posed problems
... of ill-posed problems, in this paper we propose a new regularization method and prove its rationality from the view of ...the ill-posed problems with big ...of ...
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An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure
... discrete ill-posed problems, whose matrix is a Kro- necker ...product. Problems of this kind arise, for instance, from the discretization of Fredholm integral equations of the first kind in two ...
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Comparing Different Types of Approximators for Choosing the Parameters in the Regularization of Ill-Posed Problems
... Reynolds, Cross-referencing different regularized families of approximate solutions to ill-posed problems for solving the parameter choice problem in generalized CLS, [r] ...
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Risk estimators for choosing regularization parameters in ill-posed problems - properties and limitations
... in ill-posed ...for ill-posed problems, since the properties in the data space do not tell much about the quality of the ...processing problems with a very low degree of ...
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Risk estimators for choosing regularization parameters in ill-posed problems - Properties and limitations
... in ill-posed problems, in particular for sparsity ...for ill-posed problems, since the properties in the data space do not tell much about the quality of the ...processing ...
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The residual method for regularizing ill-posed problems
... We provide three examples that show the applicability of our theory. The first example is the regularized solution of linear operator equations on L p -spaces, where we show that the results of Tikhonov regularization ...
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Lagrangian methods for the regularization of discrete ill-posed problems
... large problems these criteria are computationally very expensive and therefore they are difficult to use for practical ...pro- posed in the literature, the selection of a suitable regularization parameter λ ...
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Solution of Linear Ill-posed Problems Using Overcomplete Dictionaries
... ing a probability distribution. The random matrices have wide applications in various branches of science and technology, out of which in this dissertation, we have only considered its application in Compressed sensing. ...
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Manage Inverse Heat Conduction: Ill-Posed Problems - Chapter 4
... mket ci{} ci{} kp |gtm tknzkvet{vkp nkep{vkd gbpgdk kp |gtm tknzkvet{vkp nkep{vkd gbpgdk pgn{ietkd tgpp pgn{ietkd tgpp {k8& {k8& gbtkvgav gbtkvgav. tknzkvet{vkp -b[r] ...
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Manage Inverse Heat Conduction: Ill-Posed Problems - Chapter 3
... sk`vnha ylb hkh`nhbd} y}dhsnbhy lbdy ckhircynkh btrdynkh d}b ylb fnhnyb inffb}bhcb. sk`vnha ylb hkh`nhbd} y}dhsnbhy lbdy ckhircynkh btrdynkh d}b ylb fnhnyb inffb}bhcb[r] ...
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Manage Inverse Heat Conduction: Ill-Posed Problems - Chapter 8
... estimation problems. Another concept is is that that the use the use of of a sequential procedure a sequential procedure can be advantageous in terms can be advantageous in terms of of computation speed ...
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Ill-Posed and Linear Inverse Problems
... As we have seen in the previous section, the primary difficulty with ill- posed problems is that they are practically underdetermined due to the cluster of small singular values of K. Hence, it is ...
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