Screen LibraryRegularization methods in Banach spaces
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| Group Author: | |
|---|---|
| Published: |
De Gruyter,
|
| Publisher Address: | Berlin Boston |
| Publication Dates: | c2012. |
| Literature type: | Book |
| Language: | English |
| Series: |
Radon series on computational and applied mathematics, ; 10 |
| Subjects: | |
| Carrier Form: | xi, 283 p.: ill. ; 25 cm. |
| ISBN: |
9783110255249 (print : alk. paper) 3110255243 (print : alk. paper) |
| Index Number: | O177 |
| CLC: | O177.2 |
| Call Number: | O177.2/R344 |
| Contents: |
Includes bibliographical references (p. [265]-279) and index. Why to use Banach spaces in regularization theory? -- Geometry and mathematical tools of Banach spaces -- Tikhonov-type regularization -- Iterative regularization -- The method of approximate inverse. "Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial need for stable and efficient solvers for this kind of problems as well as for a rigorous convergence analysis of these methods ... |