Geophysical inverse theory:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
1994
|
| Schriftenreihe: | Princeton series in geophysics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006498991&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 386 S. |
| ISBN: | 9780691036342 0691036349 |
Internformat
MARC
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| 100 | 1 | |a Parker, Robert L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geophysical inverse theory |c Robert L. Parker |
| 264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 1994 | |
| 300 | |a XI, 386 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Princeton series in geophysics | |
| 650 | 7 | |a Analyse fonctionnelle |2 ram | |
| 650 | 7 | |a Geofisica |2 larpcal | |
| 650 | 7 | |a Géophysique - Mesures |2 ram | |
| 650 | 7 | |a Inversions (Géophysique) |2 ram | |
| 650 | 7 | |a Optimisation mathématique |2 ram | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Geophysics |x Measurement | |
| 650 | 4 | |a Inversion (Geophysics) | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 0 | 7 | |a Geophysik |0 (DE-588)4020252-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inversionstheorie |0 (DE-588)4162240-6 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Inversionstheorie |0 (DE-588)4162240-6 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006498991 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0545 PARK |
|---|---|
| DE-BY-TUM_katkey | 778423 |
| DE-BY-TUM_location | LSB |
| DE-BY-TUM_media_number | TEMP2894433 |
| _version_ | 1821931429644206081 |
| adam_text | CONTENTS
Preface
vii
Chapter
1:
Mathematical Precursor
1.01
Linear Vector Spaces
3
1.02
Subspaces, Linear Combinations,
and Linear Independence
7
1.03
Bases and Dimension
8
1.04
Functional
10
1.05
Norms
12
1.06
Some Norms on Finite-Dimensional Spaces
13
1.07
Some Norms on Infinite-Dimensional Spaces
18
1.08
Convergence, Cauchy Sequences,
and Completeness
20
1.09
Completion
25
1.10
Inner Products
27
1.11
Hubert Space
31
1.12
Two Simple Minimization Problems
34
1.13
Numerical Aspects of Hubert Space
38
1.14 Lagrange
Multipliers
46
1.15
Convexity
51
Chapter
2:
Linear Problems with Exact Data
2.01
An Example
55
2.02
Linear Inverse Problems
58
2.03
Existence of a Solution
62
2.04
Uniqueness and Stability
65
2.05
Some Special Solutions
72
2.06
The Magnetic Anomaly Profile
79
2.07
Interpolation
88
2.08
Seismic Dissipation in the Mantle
104
Chapter
3:
Linear Problems with Uncertain Data
3.01
Tolerance and Misfit
119
3.02
Fitting within the Tolerance
131
3.03
The Spectral Approach
144
3.04
The Magnetic Anomaly Problem Revisited
153
3.05
The Theory in Numerical Dress
163
3.06
Return to the Seismic Dissipation Problem
174
3.07
Large Numbers of Observations
186
Chapter
4:
Resolution and Inference
4.01
The Central Question
199
4.02
Resolution
201
vi
CONTENTS
4.03
Bounding Linear Functionals in Hubert Space
214
4.04
Bounding Functionals in Practice
226
4.05
Ideal Bodies
241
4.06
Linear and Quadratic Programming
253
4.07
Examples using LP and QP
268
4.08
A Statistical Theory
278
Chapter
5:
Nonlinear Problems
5.01
Some Familiar Questions
293
5.02
Two Examples
295
5.03
Functional Differentiation
304
5.04
Constructing Models
308
5.05
The Gravity Profile
319
5.06
The Magnetotelluric Problem I
333
5.07
Resolution in Nonlinear Problems
345
5.08
The Magnetotelluric Problem II
351
5.09
Coda
368
Appendix A: The Dilogarithm Function
371
Appendix B: Table for 1-norm Misfits
373
References
375
Index
381
|
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| discipline | Geologie / Paläontologie Physik Geographie |
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| id | DE-604.BV009817415 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:42:44Z |
| institution | BVB |
| isbn | 9780691036342 0691036349 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006498991 |
| oclc_num | 29563750 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-703 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-188 |
| physical | XI, 386 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series2 | Princeton series in geophysics |
| spellingShingle | Parker, Robert L. Geophysical inverse theory Analyse fonctionnelle ram Geofisica larpcal Géophysique - Mesures ram Inversions (Géophysique) ram Optimisation mathématique ram Functional analysis Geophysics Measurement Inversion (Geophysics) Mathematical optimization Geophysik (DE-588)4020252-5 gnd Inversionstheorie (DE-588)4162240-6 gnd |
| subject_GND | (DE-588)4020252-5 (DE-588)4162240-6 |
| title | Geophysical inverse theory |
| title_auth | Geophysical inverse theory |
| title_exact_search | Geophysical inverse theory |
| title_full | Geophysical inverse theory Robert L. Parker |
| title_fullStr | Geophysical inverse theory Robert L. Parker |
| title_full_unstemmed | Geophysical inverse theory Robert L. Parker |
| title_short | Geophysical inverse theory |
| title_sort | geophysical inverse theory |
| topic | Analyse fonctionnelle ram Geofisica larpcal Géophysique - Mesures ram Inversions (Géophysique) ram Optimisation mathématique ram Functional analysis Geophysics Measurement Inversion (Geophysics) Mathematical optimization Geophysik (DE-588)4020252-5 gnd Inversionstheorie (DE-588)4162240-6 gnd |
| topic_facet | Analyse fonctionnelle Geofisica Géophysique - Mesures Inversions (Géophysique) Optimisation mathématique Functional analysis Geophysics Measurement Inversion (Geophysics) Mathematical optimization Geophysik Inversionstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006498991&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT parkerrobertl geophysicalinversetheory |
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