Theory of Linear Ill-Posed Problems and its Applications / / Valentin K. Ivanov, Vladimir V. Vasin, Vitalii P. Tanana.
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the...
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2013] ©2002 |
| Year of Publication: | 2013 |
| Edition: | Reprint 2013 |
| Language: | English |
| Series: | Inverse and Ill-Posed Problems Series ,
36 |
| Online Access: | |
| Physical Description: | 1 online resource (281 p.) |
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| LEADER | 04840nam a22009015i 4500 | ||
|---|---|---|---|
| 001 | 9783110944822 | ||
| 003 | DE-B1597 | ||
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| 019 | |a (OCoLC)1013961424 | ||
| 020 | |a 9783110944822 | ||
| 024 | 7 | |a 10.1515/9783110944822 |2 doi | |
| 035 | |a (DE-B1597)57163 | ||
| 035 | |a (OCoLC)853265844 | ||
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| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 082 | 0 | 4 | |a 295 |
| 100 | 1 | |a Ivanov, Valentin K., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Theory of Linear Ill-Posed Problems and its Applications / |c Valentin K. Ivanov, Vladimir V. Vasin, Vitalii P. Tanana. |
| 250 | |a Reprint 2013 | ||
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2013] | |
| 264 | 4 | |c ©2002 | |
| 300 | |a 1 online resource (281 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Inverse and Ill-Posed Problems Series , |x 1381-4524 ; |v 36 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface to the Second Edition -- |t Preface -- |t Contents -- |t Introduction -- |t Chapter 1. Well-posedness of problems -- |t Chapter 2. Regularizing family of operators and sets of uniform regularization -- |t Chapter 3. Basic techniques for constructing regularizing algorithms -- |t Chapter 4. Optimality and stability of methods for solving ill-posed problems. Error estimation -- |t Chapter 5. Determination of values of unbounded operators -- |t Chapter 6. Finite-dimensional approximation of regulirizing algorithms -- |t Bibliography -- |t Additional Bibliography to the Second Edition -- |t Comments to Additional Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the book considers ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been made in the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
| 650 | 0 | |a Numerical analysis |x Improperly posed problems. | |
| 650 | 4 | |a Funktionalanalysis. | |
| 650 | 4 | |a Inkorrekt gestelltes Problem. | |
| 650 | 4 | |a Inverses Problem. | |
| 650 | 4 | |a Operatortheorie. | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis. |2 bisacsh | |
| 653 | |a Banach spaces. | ||
| 653 | |a Error Estimation. | ||
| 653 | |a Hilbert Spaces. | ||
| 653 | |a Linear Ill-posed Problems. | ||
| 653 | |a Optimality Method. | ||
| 653 | |a Sets of Uniform Regularization. | ||
| 700 | 1 | |a Tanana, Vitalii P., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Vasin, Vladimir V., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
| 776 | 0 | |c print |z 9789067643672 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110944822 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110944822 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110944822/original |
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