Eintrag weiter verarbeiten
Buchumschlag von Variational source conditions, quadratic inverse problems, sparsity promoting regularization: new results in modern theory of inverse problems and an application in laser optics
Verfügbar über lokaler Bestand

Variational source conditions, quadratic inverse problems, sparsity promoting regularization: new results in modern theory of inverse problems and an application in laser optics

Gespeichert in:

Personen und Körperschaften: Flemming, Jens (VerfasserIn)
Titel: Variational source conditions, quadratic inverse problems, sparsity promoting regularization: new results in modern theory of inverse problems and an application in laser optics/ Jens Flemming
Hochschulschriftenvermerk: Habilitationsschrift, Technische Universität Chemnitz, 2018
Medientyp: Buch Hochschulschrift
Sprache: Englisch
veröffentlicht:
Cham, Switzerland Birkhäuser [2018]
Gesamtaufnahme: Frontiers in mathematics
Schlagwörter:
Erscheint auch als: Flemming, Jens, Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization, Cham : Springer International Publishing, 2018, Online-Ressource (XI, 182 p. 35 illus, online resource)
Weitere Ausgaben: Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization: New Results in Modern Theory of Inverse Problems and an Application in Laser Optics
Quelle: Verbunddaten SWB
LEADER 04214cam a2200769 4500
001 0-1644329638
003 DE-627
005 20210705225240.0
007 tu
008 181114s2018 sz ||||| m 00| ||eng c
020 |a 3319952633  |9 3-319-95263-3 
020 |a 9783319952635  |9 978-3-319-95263-5 
024 7 |a 10.1007/978-3-319-95264-2  |2 doi 
035 |a (DE-627)1644329638 
035 |a (DE-576)513707751 
035 |a (DE-599)BSZ513707751 
035 |a (OCoLC)1077717042 
035 |a (OCoLC)1077717042 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
044 |c XA-CH 
050 0 |a QA371 
084 |a 65J22  |2 MSC 
084 |a 65J20  |2 MSC 
084 |a 47A52  |2 MSC 
084 |a 47J06  |2 MSC 
084 |a 31.48  |2 bkl 
084 |a 31.47  |2 bkl 
084 |a 31.76  |2 bkl 
100 1 |a Flemming, Jens  |d 1985-  |e VerfasserIn  |0 (DE-588)1020883472  |0 (DE-627)69139105X  |0 (DE-576)352513926  |4 aut 
245 1 0 |a Variational source conditions, quadratic inverse problems, sparsity promoting regularization  |b new results in modern theory of inverse problems and an application in laser optics  |c Jens Flemming 
264 1 |a Cham, Switzerland  |b Birkhäuser  |c [2018] 
300 |a xi, 182 Seiten  |b Illustrationen  |c 24 cm 
336 |a Text  |b txt  |2 rdacontent 
337 |a ohne Hilfsmittel zu benutzen  |b n  |2 rdamedia 
338 |a Band  |b nc  |2 rdacarrier 
490 0 |a Frontiers in mathematics 
500 |a Includes bibliographical references and index 
502 |b Habilitationsschrift  |c Technische Universität Chemnitz  |d 2018 
520 |a The book collects and contributes new results on the theory and practice of ill-posed inverse problems. Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are discussed not only in standard settings but also in situations up to now not covered by the literature. Especially, ill-posedness of linear operators with uncomplemented null spaces is examined. Tools for convergence rate analysis of regularization methods are extended to a wider field of applicability. It is shown that the tool known as variational source condition always yields convergence rate results. A theory for nonlinear inverse problems with quadratic structure is developed as well as corresponding regularization methods. The new methods are applied to a difficult inverse problem from laser optics. Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensive convergence analysis reveals new insights into the behavior of Tikhonov-type regularization with sparsity enforcing penalty.-- 
650 0 |a MATHEMATICS / Calculus 
650 0 |a MATHEMATICS / Mathematical Analysis 
650 0 |a Functional analysis & transforms 
650 0 |a Numerical analysis 
650 0 |a Inverse problems (Differential equations) 
655 7 |a Hochschulschrift  |0 (DE-588)4113937-9  |0 (DE-627)105825778  |0 (DE-576)209480580  |2 gnd-content 
689 0 0 |D s  |0 (DE-588)4186951-5  |0 (DE-627)105275743  |0 (DE-576)210042613  |a Inkorrekt gestelltes Problem  |2 gnd 
689 0 |5 (DE-627) 
776 1 |z 9783319952642 
776 0 8 |i Erscheint auch als  |n Online-Ausgabe  |a Flemming, Jens  |t Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization  |d Cham : Springer International Publishing, 2018  |h Online-Ressource (XI, 182 p. 35 illus, online resource)  |w (DE-627)1031840001  |w (DE-576)511571402  |z 9783319952642 
856 4 2 |u https://www.gbv.de/dms/tib-ub-hannover/1644329638.pdf  |m V:DE-601  |m B:DE-89  |q pdf/application  |3 Inhaltsverzeichnis 
936 b k |a 31.48  |j Variationsrechnung  |0 (DE-627)106408143 
936 b k |a 31.47  |j Operatortheorie  |0 (DE-627)181569965 
936 b k |a 31.76  |j Numerische Mathematik  |0 (DE-627)106408194 
951 |a BO 
950 |a Unsachgemässes Problem 
950 |a Falsch gestelltes Problem 
950 |a Schlecht gestelltes Problem 
950 |a Ill posed problem 
950 |a Ill-posed problem 
950 |a Mal-posed problem 
950 |a Improperly posed problem 
950 |a Mathematisches Problem 
950 |a Korrekt gestelltes Problem 
951 |b XA-DE 
852 |a DE-Ch1  |x epn:3310767809  |z 2019-02-28T11:48:34Z 
980 |a 1644329638  |b 0  |k 1644329638  |o 513707751 
openURL url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=Variational+source+conditions%2C+quadratic+inverse+problems%2C+sparsity+promoting+regularization%3A+new+results+in+modern+theory+of+inverse+problems+and+an+application+in+laser+optics&rft.date=%5B2018%5D&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Variational+source+conditions%2C+quadratic+inverse+problems%2C+sparsity+promoting+regularization%3A+new+results+in+modern+theory+of+inverse+problems+and+an+application+in+laser+optics&rft.series=Frontiers+in+mathematics&rft.au=Flemming%2C+Jens&rft.pub=Birkh%C3%A4user&rft.edition=&rft.isbn=3319952633
SOLR
_version_ 1792254459998371840
access_facet Local Holdings
author Flemming, Jens
author_facet Flemming, Jens
author_role aut
author_sort Flemming, Jens 1985-
author_variant j f jf
barcode (DE-Ch1)000000312706
barcode_dech1 000000312706
building (DE-Ch1)UB
callnumber-first Q - Science
callnumber-label QA371
callnumber-raw QA371
callnumber-search QA371
callnumber-sort QA 3371
callnumber-subject QA - Mathematics
callnumber_dech1 SA 2017 fle, 1033161
collcode_dech1 Freihand
contents The book collects and contributes new results on the theory and practice of ill-posed inverse problems. Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are discussed not only in standard settings but also in situations up to now not covered by the literature. Especially, ill-posedness of linear operators with uncomplemented null spaces is examined. Tools for convergence rate analysis of regularization methods are extended to a wider field of applicability. It is shown that the tool known as variational source condition always yields convergence rate results. A theory for nonlinear inverse problems with quadratic structure is developed as well as corresponding regularization methods. The new methods are applied to a difficult inverse problem from laser optics. Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensive convergence analysis reveals new insights into the behavior of Tikhonov-type regularization with sparsity enforcing penalty.--
ctrlnum (DE-627)1644329638, (DE-576)513707751, (DE-599)BSZ513707751, (OCoLC)1077717042
dech1_date 2019-02-28T11:48:34Z
doi_str_mv 10.1007/978-3-319-95264-2
facet_avail Local
facet_local_del330 Inkorrekt gestelltes Problem
finc_class_facet Mathematik
fincclass_txtF_mv science-mathematics
footnote Includes bibliographical references and index
format Book, Thesis
format_access_txtF_mv Thesis
format_de14 Book, E-Book
format_de15 Book, E-Book
format_del152 Buch
format_detail_txtF_mv text-print-monograph-independent-thesis
format_dezi4 e-Book
format_finc Book, E-Book, Thesis
format_legacy Book
format_legacy_nrw Book, E-Book
format_nrw Book, E-Book
format_strict_txtF_mv Thesis
genre Hochschulschrift (DE-588)4113937-9 (DE-627)105825778 (DE-576)209480580 gnd-content
genre_facet Hochschulschrift
geogr_code not assigned
geogr_code_person Germany
id 0-1644329638
illustrated Not Illustrated
imprint Cham, Switzerland, Birkhäuser, [2018]
imprint_str_mv Cham, Switzerland: Birkhäuser, [2018]
institution DE-Ch1
is_hierarchy_id
is_hierarchy_title
isbn 3319952633, 9783319952635
isbn_isn_mv 9783319952642
kxp_id_str 1644329638
language English
last_indexed 2024-02-29T17:17:25.267Z
local_heading_facet_dezwi2 MATHEMATICS / Calculus, MATHEMATICS / Mathematical Analysis, Functional analysis & transforms, Numerical analysis, Inverse problems (Differential equations), Inkorrekt gestelltes Problem
marc024a_ct_mv 10.1007/978-3-319-95264-2
match_str flemming2018variationalsourceconditionsquadraticinverseproblemssparsitypromotingregularizationnewresultsinmoderntheoryofinverseproblemsandanapplicationinlaseroptics
mega_collection Verbunddaten SWB
names_id_str_mv (DE-588)1020883472, (DE-627)69139105X, (DE-576)352513926
oclc_num 1077717042
physical xi, 182 Seiten; Illustrationen; 24 cm
publishDate [2018]
publishDateSort 2018
publishPlace Cham, Switzerland
publisher Birkhäuser
record_format marcfinc
record_id 513707751
recordtype marcfinc
rvk_facet No subject assigned
series2 Frontiers in mathematics
signatur (DE-Ch1)SA 2017 fle, (DE-Ch1)1033161
source_id 0
spelling Flemming, Jens 1985- VerfasserIn (DE-588)1020883472 (DE-627)69139105X (DE-576)352513926 aut, Variational source conditions, quadratic inverse problems, sparsity promoting regularization new results in modern theory of inverse problems and an application in laser optics Jens Flemming, Cham, Switzerland Birkhäuser [2018], xi, 182 Seiten Illustrationen 24 cm, Text txt rdacontent, ohne Hilfsmittel zu benutzen n rdamedia, Band nc rdacarrier, Frontiers in mathematics, Includes bibliographical references and index, Habilitationsschrift Technische Universität Chemnitz 2018, The book collects and contributes new results on the theory and practice of ill-posed inverse problems. Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are discussed not only in standard settings but also in situations up to now not covered by the literature. Especially, ill-posedness of linear operators with uncomplemented null spaces is examined. Tools for convergence rate analysis of regularization methods are extended to a wider field of applicability. It is shown that the tool known as variational source condition always yields convergence rate results. A theory for nonlinear inverse problems with quadratic structure is developed as well as corresponding regularization methods. The new methods are applied to a difficult inverse problem from laser optics. Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensive convergence analysis reveals new insights into the behavior of Tikhonov-type regularization with sparsity enforcing penalty.--, MATHEMATICS / Calculus, MATHEMATICS / Mathematical Analysis, Functional analysis & transforms, Numerical analysis, Inverse problems (Differential equations), Hochschulschrift (DE-588)4113937-9 (DE-627)105825778 (DE-576)209480580 gnd-content, s (DE-588)4186951-5 (DE-627)105275743 (DE-576)210042613 Inkorrekt gestelltes Problem gnd, (DE-627), 9783319952642, Erscheint auch als Online-Ausgabe Flemming, Jens Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization Cham : Springer International Publishing, 2018 Online-Ressource (XI, 182 p. 35 illus, online resource) (DE-627)1031840001 (DE-576)511571402 9783319952642, https://www.gbv.de/dms/tib-ub-hannover/1644329638.pdf V:DE-601 B:DE-89 pdf/application Inhaltsverzeichnis, DE-Ch1 epn:3310767809 2019-02-28T11:48:34Z
spellingShingle Flemming, Jens, Variational source conditions, quadratic inverse problems, sparsity promoting regularization: new results in modern theory of inverse problems and an application in laser optics, The book collects and contributes new results on the theory and practice of ill-posed inverse problems. Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are discussed not only in standard settings but also in situations up to now not covered by the literature. Especially, ill-posedness of linear operators with uncomplemented null spaces is examined. Tools for convergence rate analysis of regularization methods are extended to a wider field of applicability. It is shown that the tool known as variational source condition always yields convergence rate results. A theory for nonlinear inverse problems with quadratic structure is developed as well as corresponding regularization methods. The new methods are applied to a difficult inverse problem from laser optics. Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensive convergence analysis reveals new insights into the behavior of Tikhonov-type regularization with sparsity enforcing penalty.--, MATHEMATICS / Calculus, MATHEMATICS / Mathematical Analysis, Functional analysis & transforms, Numerical analysis, Inverse problems (Differential equations), Hochschulschrift, Inkorrekt gestelltes Problem
swb_id_str 513707751
title Variational source conditions, quadratic inverse problems, sparsity promoting regularization: new results in modern theory of inverse problems and an application in laser optics
title_auth Variational source conditions, quadratic inverse problems, sparsity promoting regularization new results in modern theory of inverse problems and an application in laser optics
title_full Variational source conditions, quadratic inverse problems, sparsity promoting regularization new results in modern theory of inverse problems and an application in laser optics Jens Flemming
title_fullStr Variational source conditions, quadratic inverse problems, sparsity promoting regularization new results in modern theory of inverse problems and an application in laser optics Jens Flemming
title_full_unstemmed Variational source conditions, quadratic inverse problems, sparsity promoting regularization new results in modern theory of inverse problems and an application in laser optics Jens Flemming
title_short Variational source conditions, quadratic inverse problems, sparsity promoting regularization
title_sort variational source conditions quadratic inverse problems sparsity promoting regularization new results in modern theory of inverse problems and an application in laser optics
title_sub new results in modern theory of inverse problems and an application in laser optics
title_unstemmed Variational source conditions, quadratic inverse problems, sparsity promoting regularization: new results in modern theory of inverse problems and an application in laser optics
topic MATHEMATICS / Calculus, MATHEMATICS / Mathematical Analysis, Functional analysis & transforms, Numerical analysis, Inverse problems (Differential equations), Hochschulschrift, Inkorrekt gestelltes Problem
topic_facet MATHEMATICS / Calculus, MATHEMATICS / Mathematical Analysis, Functional analysis & transforms, Numerical analysis, Inverse problems (Differential equations), Hochschulschrift, Inkorrekt gestelltes Problem
url https://www.gbv.de/dms/tib-ub-hannover/1644329638.pdf