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The method of quasi-solutions by Ivanov is the effective method of solving ill-posed problems
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V. V. Vasin
Published/Copyright:
September 30, 2008
Abstract
The brief survey of Ivanov's results concerning quasi-solution is given. Recent effective algorithms for iterative approximation of quasi-solutions to ill-posed problems are described. A general scheme of discrete approximation and examples of its applications to quasi-solution method are presented.
Key words.: Method of quasi-solutions; equations with a priori information; iterative methods; discrete approximation
Received: 2008-03-13
Published Online: 2008-09-30
Published in Print: 2008-October
© de Gruyter 2008
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Articles in the same Issue
- Valentin Konstantinovich Ivanov (1908–1992)
- The method of quasi-solutions by Ivanov is the effective method of solving ill-posed problems
- On error estimates of difference solution methods for ill-posed Cauchy problems in a Hilbert space
- Modulus of continuity for conditionally stable ill-posed problems in Hilbert space
- On rough inversion of a dynamical system with a disturbance
- Convergence results for the Bayesian inversion theory
- A stability estimate for the solution to the ill-posed Cauchy problem for elasticity equations
- Error estimation for ill-posed problems on piecewise convex functions and sourcewise represented sets
Keywords for this article
Method of quasi-solutions;
equations with a priori information;
iterative methods;
discrete approximation
Articles in the same Issue
- Valentin Konstantinovich Ivanov (1908–1992)
- The method of quasi-solutions by Ivanov is the effective method of solving ill-posed problems
- On error estimates of difference solution methods for ill-posed Cauchy problems in a Hilbert space
- Modulus of continuity for conditionally stable ill-posed problems in Hilbert space
- On rough inversion of a dynamical system with a disturbance
- Convergence results for the Bayesian inversion theory
- A stability estimate for the solution to the ill-posed Cauchy problem for elasticity equations
- Error estimation for ill-posed problems on piecewise convex functions and sourcewise represented sets
