Theory and the methods of solution of ill-posed problems
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Publication:1077881
DOI10.1007/BF01262408zbMath0595.65056MaRDI QIDQ1077881
Publication date: 1986
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
General theory of numerical analysis in abstract spaces (65J05) Numerical methods for integral equations (65R20) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Equations and inequalities involving linear operators, with vector unknowns (47A50)
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Cites Work
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- The finite element method for ill-posed problems
- Digital Removal of Random Media Image Degradations by Solving the Diffusion Equation Backwards in Time
- Numerical Solution of Integral Equations of the First Kind with Nonsmooth Kernels
- ON OPTIMAL ALGORITHMS FOR OPERATOR EQUATIONS OF THE FIRST KIND WITH A PERTURBED OPERATOR
- Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data
- Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
- A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems
- An estimate of the error of the approximate solution obtained by a non-linear regularizing algorithm
- Solution of convolution-type integral equations of the first kind in the multidimensional case
- Generalized Inverses in Reproducing Kernel Spaces: An Approach to Regularization of Linear Operator Equations
- On Error Bounds for Generalized Inverses
- Statistical Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind
- On the Approximate Minimization of Functionals
- Perturbation theory for pseudo-inverses
- Solution of some lexicographic problems of interpretation
- On spline functions and statistical regularization of ill-posed problems
- Difference approximation and regularization of optimal control problems for Goursat-Darboux systems
- Measurability and regularizability of mappings inverse to continuous linear operators
- An optimal method for approximating the values of nonlinear operators
- Optimal methods of computing the values of the operator Ux if x is given with an error. Differentiation of functions defined with an error
- Stable solution of operator equations of the first kind by the steepest- descent method
- A problem of reconstructing a Riemannian metric
- Multipurpose systems for comprehensive mathematical processing of spectrometric observations
- On the solution of nonlinear equations with monotone operators in a Banach space
- A finite element method for some integral equations of the first kind
- A certain approach to the problem of regularization on the basis of the perturbation of linear operators
- Regularisierung schlecht gestellter Probleme durch Projektionsverfahren
- Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
- Some aspects of the behavior of regularized solutions as the amount of smoothing is varied
- Nonconvergence results for the application of least-squares estimation to ill-posed problems
- Method of monotonicity and approximate computation of the value of an unbounded nonlinear operator
- Relationship of several variational methods for the approximate solution of ill-posed problems
- A fast quadratic programming method for solving ill-conditioned systems of equations
- Zur Regularisierung einer Klasse nichtkorrekter Probleme bei Evolutionsgleichungen. (On the regularization of a certain class of improperly posed problems for evolution equations)
- On some problems of integral geometry
- Numerical differentiation procedures for non-exact data
- Best accessible estimation: Convergence properties and limiting forms of the direct and reduced versions
- On the L\(_2\) improperly posed problems
- On the Tikhonov-stable summation of Fourier series with perturbed coefficients by some regular methods
- The construction of solutions to the heat equation backward in time
- On uniqueness, stability and pointwise estimates in the Cauchy problem for coupled elliptic equations
- A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
- Adaptive Numerical Differentiation
- Dimensionality Reduction Methods for Efficient Numerical Solution, Backward in Time, of Parabolic Equations with Variable Coefficients
- Minimum Principles for Ill-Posed Problems
- Construction of a normal solution of non-linear ill-posed problems by the method of regularization
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- The axisymmetric cauchy problem for Laplace's equation
- Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind
- On the stable differentiation of functions
- The choice of the constant in a. a. tikhonov's rule for specifying the regularization parameter in the solution of linear conditionally well-posed problems
- Convex lexicographic problems
- Approximations to Generalized Inverses of Linear Operators
- On Fredholm Integral Equations of the First Kind with Convex Constraints
- On Tikhonov's Method for Ill-Posed Problems
- On the Equivalence of Regularization and Certain Reproducing Kernel Hilbert Space Approaches for Solving First Kind Problems
- THE DEVELOPMENTS OF MATHEMATICAL METHODS FOR THE STUDY OF DIRECT AND INVERSE PROBLEMS IN ELECTRODYNAMICS
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