Numerical regularization for atmospheric inverse problems:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
Chichester, UK Praxis Publ. |
| Schriftenreihe: | Springer Praxis books in environmental sciences
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIII, 426 S. graph. Darst. 25 cm |
| ISBN: | 9783642054389 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV036779198 | ||
| 003 | DE-604 | ||
| 005 | 20101215 | ||
| 007 | t | ||
| 008 | 101116s2010 gw d||| |||| 00||| eng d | ||
| 015 | |a 09,N42,0844 |2 dnb | ||
| 015 | |a 10,A44 |2 dnb | ||
| 016 | 7 | |a 99711276X |2 DE-101 | |
| 020 | |a 9783642054389 |c Pp. : EUR 139.05 (freier Pr.), ca. sfr 233.00 (freier Pr.) |9 978-3-642-05438-9 | ||
| 024 | 3 | |a 9783642054389 | |
| 028 | 5 | 2 | |a 12740949 |
| 035 | |a (OCoLC)724094701 | ||
| 035 | |a (DE-599)BVBBV036779198 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-19 | ||
| 082 | 0 | |a 551.501515357 |2 22/ger | |
| 084 | |a UT 8100 |0 (DE-625)146845: |2 rvk | ||
| 084 | |a 550 |2 sdnb | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Doicu, Adrian |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical regularization for atmospheric inverse problems |c Adrian Doicu ; Thomas Trautmann ; Franz Schreier |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2010 | |
| 264 | 1 | |a Chichester, UK |b Praxis Publ. | |
| 300 | |a XIII, 426 S. |b graph. Darst. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer Praxis books in environmental sciences | |
| 500 | |a Literaturangaben | ||
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Regularisierungsverfahren |0 (DE-588)4846428-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Satellitenfernerkundung |0 (DE-588)4224344-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Atmosphäre |0 (DE-588)4003397-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Atmosphäre |0 (DE-588)4003397-1 |D s |
| 689 | 0 | 1 | |a Satellitenfernerkundung |0 (DE-588)4224344-0 |D s |
| 689 | 0 | 2 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 0 | 3 | |a Regularisierungsverfahren |0 (DE-588)4846428-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Trautmann, Thomas |e Verfasser |4 aut | |
| 700 | 1 | |a Schreier, Franz |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020695896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020695896 | ||
Datensatz im Suchindex
| _version_ | 1804143453723951104 |
|---|---|
| adam_text | TABLE OF CONTENTS PREFACE XI 1 REMOTE SENSING OF THE ATMOSPHERE 1 1 . 1
THE ATMOSPHERE - FACTS AND PROBLEMS 1 1.1.1 GREENHOUSE GASES 3 1.1.2 AIR
POLLUTION 4 1.1.3 TROPOSPHERIC OZONE 4 1.1.4 STRATOSPHERIC OZONE 4 1.2
ATMOSPHERIC REMOTE SENSING 4 1.3 RADIATIVE TRANSFER 8 1.3.1 DEFINITIONS
9 1.3.2 EQUATION OF RADIATIVE TRANSFER 9 1.3.3 RADIATIVE TRANSFER IN THE
UV 10 1.3.4 RADIATIVE TRANSFER IN THE IR AND MICROWAVE 14 1.3.5
INSTRUMENT ASPECTS 17 1.3.6 DERIVATIVES 17 1.4 INVERSE PROBLEMS 18 2
IH-POSEDNESS OF LINEAR PROBLEMS 23 2.1 AN ILLUSTRATIVE EXAMPLE 23 2.2
CONCEPT OF ILL-POSEDNESS 27 2.3 ANALYSIS OF LINEAR DISCRETE EQUATIONS 28
2.3.1 SINGULAR VALUE DECOMPOSITION 28 2.3.2 SOLVABILITY AND
ILL-POSEDNESS 29 2.3.3 NUMERICAL EXAMPLE 32 3 TIKHONOV REGULARIZATION
FOR LINEAR PROBLEMS 39 3.1 FORMULATION 39 3.2 REGULARIZATION MATRICES 41
3.3 GENERALIZED SINGULAR VALUE DECOMPOSITION AND REGULARIZED SOLUTION
... 45 3.4 ITERATED TIKHONOV REGULARIZATION 49 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/99711276X DIGITALISIERT DURCH VIII TABLE
OF CONTENTS 3.5 ANALYSIS TOOLS 50 3.5.1 FILTER FACTORS 50 3.5.2 ERROR
CHARACTERIZATION 51 3.5.3 MEAN SQUARE ERROR MATRIX 56 3.5.4 RESOLUTION
MATRIX AND AVERAGING KERNELS 57 3.5.5 DISCRETE PICARD CONDITION 58 3.5.6
GRAPHICAL TOOLS 61 3.6 REGULARIZATION PARAMETER CHOICE METHODS 66 3.6.1
A PRIORI PARAMETER CHOICE METHODS 67 3.6.2 A POSTERIORI PARAMETER CHOICE
METHODS 68 3.6.3 ERROR-FREE PARAMETER CHOICE METHODS 74 3.7 NUMERICAL
ANALYSIS OF REGULARIZATION PARAMETER CHOICE METHODS 83 3.8
MULTI-PARAMETER REGULARIZATION METHODS 93 3.8.1 COMPLETE MULTI-PARAMETER
REGULARIZATION METHODS 94 3.8.2 INCOMPLETE MULTI-PARAMETER
REGULARIZATION METHODS 98 3.9 MATHEMATICAL RESULTS AND FURTHER READING
103 STATISTICAL INVERSION THEORY 107 4.1 BAYES THEOREM AND ESTIMATORS
107 4.2 GAUSSIAN DENSITIES 109 4.2.1 ESTIMATORS 110 4.2.2 ERROR
CHARACTERIZATION 112 4.2.3 DEGREES OF FREEDOM 113 4.2.4 INFORMATION
CONTENT 118 4.3 REGULARIZATION PARAMETER CHOICE METHODS 121 4.3.1
EXPECTED ERROR ESTIMATION METHOD 121 4.3.2 DISCREPANCY PRINCIPLE 124
4.3.3 HIERARCHICAL MODELS 125 4.3.4 MAXIMUM LIKELIHOOD ESTIMATION 126
4.3.5 EXPECTATION MINIMIZATION 128 4.3.6 A GENERAL REGULARIZATION
PARAMETER CHOICE METHOD 130 4.3.7 NOISE VARIANCE ESTIMATORS 135 4.4
MARGINALIZING METHOD 137 ITERATIVE REGULARIZATION METHODS FOR LINEAR
PROBLEMS 14 TABLE OF CONTENTS IX TIKHONOV REGULARIZATION FOR NONLINEAR
PROBLEMS 1 63 6.1 FOUR RETRIEVAL TEST PROBLEMS 164 6.1.1 FORWARD MODELS
AND DEGREE OF NONLINEARITY 164 6.1.2 SENSITIVITY ANALYSIS 169 6.1.3
PREWHITENING 171 6.2 OPTIMIZATION METHODS FOR THE TIKHONOV FUNCTION 173
6.2.1 STEP-LENGTH METHODS 174 6.2.2 TRUST-REGION METHODS 178 6.2.3
TERMINATION CRITERIA 179 6.2.4 SOFTWARE PACKAGES 183 6.3 PRACTICAL
METHODS FOR COMPUTING THE NEW ITERATE 183 6.4 ERROR CHARACTERIZATION 190
6.4.1 GAUSS-NEWTON METHOD 191 6.4.2 NEWTON METHOD 196 6.5 REGULARIZATION
PARAMETER CHOICE METHODS 199 6.5.1 A PRIORI PARAMETER CHOICE METHODS 200
6.5.2 SELECTION CRITERIA WITH VARIABLE REGULARIZATION PARAMETERS 203
6.5.3 SELECTION CRITERIA WITH CONSTANT REGULARIZATION PARAMETERS 206 6.6
ITERATED TIKHONOV REGULARIZATION 209 6.7 CONSTRAINED TIKHONOV
REGULARIZATION 212 6.8 MATHEMATICAL RESULTS AND FURTHER READING 217
ITERATIVE REGULARIZATION METHODS FOR NONLINEAR PROBLEMS 22 1 7.1
NONLINEAR LANDWEBER ITERATION 222 7.2 NEWTON-TYPE METHODS 222 7.2.1
ITERATIVELY REGULARIZED GAUSS-NEWTON METHOD 223 7.2.2 REGULARIZING
LEVENBERG-MARQUARDT METHOD 232 7.2.3 NEWTON-CG METHOD 237 7.3 ASYMPTOTIC
REGULARIZATION 239 7.4 MATHEMATICAL RESULTS AND FURTHER READING 246
TOTAL LEAST SQUARES 25 X TABLE OF CONTENTS B STANDARD-FORM
TRANSFORMATION FOR RECTANGULAR REGULARIZATION MATRICES 295 B.I EXPLICIT
TRANSFORMATIONS 295 B.2 IMPLICIT TRANSFORMATIONS 299 C A GENERAL DIRECT
REGULARIZATION METHOD FOR LINEAR PROBLEMS 303 C. 1 BASIC ASSUMPTIONS 303
C.2 SOURCE CONDITION 305 C.3 ERROR ESTIMATES 306 C.4 A PRIORI PARAMETER
CHOICE METHOD 306 C.5 DISCREPANCY PRINCIPLE 307 C.6 GENERALIZED
DISCREPANCY PRINCIPLE 310 C.7 ERROR-FREE PARAMETER CHOICE METHODS 313 D
CHI-SQUARE DISTRIBUTION 319 E A GENERAL ITERATIVE REGULARIZATION METHOD
FOR LINEAR PROBLEMS 323 E. 1 LINEAR REGULARIZATION METHODS 323 E.2
CONJUGATE GRADIENT METHOD 327 E.2.1 CG-POLYNOMIALS 328 E.2.2 DISCREPANCY
PRINCIPLE 332 F RESIDUAL POLYNOMIALS OF THE LSQR METHOD 343 G A GENERAL
DIRECT REGULARIZATION METHOD FOR NONLINEAR PROBLEMS 349 G.I ERROR
ESTIMATES 350 G.2 A PRIORI PARAMETER CHOICE METHOD 353 G.3 DISCREPANCY
PRINCIPLE 354 H A GENERAL ITERATIVE REGULARIZATION METHOD FOR NONLINEAR
PROBLEMS 365 H. 1 NEWTON-TYPE METHODS WITH A PRIORI INFORMATION 365
H.I.I ERROR ESTIMATES 368 H. 1.2 A PRIORI STOPPING RULE 368 H.I.
|
| any_adam_object | 1 |
| author | Doicu, Adrian Trautmann, Thomas Schreier, Franz |
| author_facet | Doicu, Adrian Trautmann, Thomas Schreier, Franz |
| author_role | aut aut aut |
| author_sort | Doicu, Adrian |
| author_variant | a d ad t t tt f s fs |
| building | Verbundindex |
| bvnumber | BV036779198 |
| classification_rvk | UT 8100 |
| ctrlnum | (OCoLC)724094701 (DE-599)BVBBV036779198 |
| dewey-full | 551.501515357 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551.501515357 |
| dewey-search | 551.501515357 |
| dewey-sort | 3551.501515357 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Physik Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02168nam a2200553 c 4500</leader><controlfield tag="001">BV036779198</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20101215 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">101116s2010 gw d||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">09,N42,0844</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">10,A44</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">99711276X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642054389</subfield><subfield code="c">Pp. : EUR 139.05 (freier Pr.), ca. sfr 233.00 (freier Pr.)</subfield><subfield code="9">978-3-642-05438-9</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783642054389</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">12740949</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)724094701</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV036779198</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">551.501515357</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UT 8100</subfield><subfield code="0">(DE-625)146845:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">550</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Doicu, Adrian</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Numerical regularization for atmospheric inverse problems</subfield><subfield code="c">Adrian Doicu ; Thomas Trautmann ; Franz Schreier</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2010</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Chichester, UK</subfield><subfield code="b">Praxis Publ.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 426 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">25 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Springer Praxis books in environmental sciences</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturangaben</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Regularisierungsverfahren</subfield><subfield code="0">(DE-588)4846428-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Satellitenfernerkundung</subfield><subfield code="0">(DE-588)4224344-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Atmosphäre</subfield><subfield code="0">(DE-588)4003397-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Atmosphäre</subfield><subfield code="0">(DE-588)4003397-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Satellitenfernerkundung</subfield><subfield code="0">(DE-588)4224344-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Regularisierungsverfahren</subfield><subfield code="0">(DE-588)4846428-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Trautmann, Thomas</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schreier, Franz</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020695896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-020695896</subfield></datafield></record></collection> |
| id | DE-604.BV036779198 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:47:54Z |
| institution | BVB |
| isbn | 9783642054389 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020695896 |
| oclc_num | 724094701 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM |
| owner_facet | DE-19 DE-BY-UBM |
| physical | XIII, 426 S. graph. Darst. 25 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer Praxis Publ. |
| record_format | marc |
| series2 | Springer Praxis books in environmental sciences |
| spelling | Doicu, Adrian Verfasser aut Numerical regularization for atmospheric inverse problems Adrian Doicu ; Thomas Trautmann ; Franz Schreier Berlin [u.a.] Springer 2010 Chichester, UK Praxis Publ. XIII, 426 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Springer Praxis books in environmental sciences Literaturangaben Inverses Problem (DE-588)4125161-1 gnd rswk-swf Regularisierungsverfahren (DE-588)4846428-4 gnd rswk-swf Satellitenfernerkundung (DE-588)4224344-0 gnd rswk-swf Atmosphäre (DE-588)4003397-1 gnd rswk-swf Atmosphäre (DE-588)4003397-1 s Satellitenfernerkundung (DE-588)4224344-0 s Inverses Problem (DE-588)4125161-1 s Regularisierungsverfahren (DE-588)4846428-4 s DE-604 Trautmann, Thomas Verfasser aut Schreier, Franz Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020695896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Doicu, Adrian Trautmann, Thomas Schreier, Franz Numerical regularization for atmospheric inverse problems Inverses Problem (DE-588)4125161-1 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd Satellitenfernerkundung (DE-588)4224344-0 gnd Atmosphäre (DE-588)4003397-1 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4846428-4 (DE-588)4224344-0 (DE-588)4003397-1 |
| title | Numerical regularization for atmospheric inverse problems |
| title_auth | Numerical regularization for atmospheric inverse problems |
| title_exact_search | Numerical regularization for atmospheric inverse problems |
| title_full | Numerical regularization for atmospheric inverse problems Adrian Doicu ; Thomas Trautmann ; Franz Schreier |
| title_fullStr | Numerical regularization for atmospheric inverse problems Adrian Doicu ; Thomas Trautmann ; Franz Schreier |
| title_full_unstemmed | Numerical regularization for atmospheric inverse problems Adrian Doicu ; Thomas Trautmann ; Franz Schreier |
| title_short | Numerical regularization for atmospheric inverse problems |
| title_sort | numerical regularization for atmospheric inverse problems |
| topic | Inverses Problem (DE-588)4125161-1 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd Satellitenfernerkundung (DE-588)4224344-0 gnd Atmosphäre (DE-588)4003397-1 gnd |
| topic_facet | Inverses Problem Regularisierungsverfahren Satellitenfernerkundung Atmosphäre |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020695896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT doicuadrian numericalregularizationforatmosphericinverseproblems AT trautmannthomas numericalregularizationforatmosphericinverseproblems AT schreierfranz numericalregularizationforatmosphericinverseproblems |