Methods for solution of nonlinear operator equations / V.P. Tanana.
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| Online Access: |
Full Text (via ProQuest) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Utrecht, The Netherlands :
VSP,
1997.
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| Series: | Inverse and ill-posed problems series.
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| Subjects: |
Table of Contents:
- Introduction
- 1 Regularization of nonlinear operator equations
- Â 1.1 The basic definitions
- Â 1.2 Setting of the problem and the regularization method
- Â 1.3 The residual method
- Â 1.4 Approximation of the regularized solution
- 2 Regularization of systems of nonlinear operator equations
- Â 2.1 The basic definitions
- Â 2.2 Setting of the problem and the regularization method
- Â 2.3 The residual method
- Â 2.4 Approximation of the regularized solution
- Â 2.5 Regularization of the inverse filtration problem.
- 3 T-regularization of nonlinear operator equations 3.1 The basic definitions
- Â 3.2 The T-regularization method
- Â 3.3 The T-residual method
- Â 3.4 Approximation of the T-regularized solution
- 4 Generalized regularization of nonlinear equations
- Â 4.1 Convergence of the generalized regularization method when solving the equation with a. weakly-strongly closed operator
- Â 4.2 The convergence of the residual method for equations with the weakly-strongly closed operator.
- Â 4.3 Approximation of the regularized solution. (The case of a weakly-strongly closed operator)Â 4.4 The criterion of convergence of the generalized regularization method for solving nonlinear operator equations
- Â 4.5 The convergence of the residual method for solving nonlinear equations
- Â 4.6 The approximation of the regularized solution to an equation with an operator satisfying the condition (C)
- 5 The approximate regularization of nonlinear operator equations
- Â 5.1 The basic definitions
- Â 5.2 The convergence of the approximate regularization method.