Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms: adjustment of nonlinear GPS LPS observations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Stuttgart
IAGB <<[u.a.]>>
2002
|
| Schriftenreihe: | Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik
2002,1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 121 S. graph. Darst. : 30 cm |
| ISBN: | 3000089063 |
Internformat
MARC
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| 100 | 1 | |a Awange, Joseph L. |d 1969- |e Verfasser |0 (DE-588)123537959 |4 aut | |
| 245 | 1 | 0 | |a Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms |b adjustment of nonlinear GPS LPS observations |c vorgelegt von Joseph L. Awange. Geodätisches Inst. der Universität Stuttgart. [Universität Stuttgart, IAGB ...] |
| 264 | 1 | |a Stuttgart |b IAGB <<[u.a.]>> |c 2002 | |
| 300 | |a X, 121 S. |b graph. Darst. : 30 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik |v 2002,1 | |
| 502 | |a Zugl.: Stuttgart, Univ, Diss., 2001 | ||
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009746908 | |
Datensatz im Suchindex
| _version_ | 1807504132218552320 |
|---|---|
| adam_text |
CONTENTS
ABSTRACT
.
.
.
.
,
.
III
ACKNOWLEDGEMENTS
.
IV
1
INTRODUCTION
1
1-1
STATEMENT
OF
THE
PROBLEM
.
1
1-2
SOLUTION
OF
THE
PROBLEM
.
3
2
NONLINEAR
ADJUSTMENT
7
2-1
LINEAR
AND
NONLINEAR
GAUSS-MARKOV
MODELS
.
7
2-2
THE
GAUSS-JACOBI
COMBINATORIAL
ALGORITHM
.
9
2-3
SOLUTION
OF
NONLINEAR
GAUSS-MARKOV
MODEL
.
12
2-31
CONSTRUCTION
OF
THE
MINIMAL
COMBINATORIAL
SUBSETS
.
13
2-32
CLOSED
FORM
SOLUTION
OF
THE
MINIMAL
COMBINATORIAL
SUBSETS
.
13
2-321
CLOSED
FORM
SOLUTION
OF
NONLINEAR
EQUATIONS
BY
GROBNER
BASES
.
13
2-322
CLOSED
FORM
SOLUTION
OF
NONLINEAR
EQUATIONS
BY
MULTIPOLYNOMIAL
RESULTANTS
.
19
2-33
ADJUSTMENT
OF
THE
COMBINATORIAL
MINIMAL
SUBSETS
SOLUTIONS
.
23
2-4
CONCLUDING
REMARKS
.
26
3
SOLUTION
OF
SELECTED
GEODETIC
PROBLEMS
27
3-1
LPS
AND
GPS
POSITIONING
SYSTEMS
.
27
3-11
GPS
POSITIONING
.
27
3-12
LPS
POSITIONING
.
27
3-121
LOCAL
POSITIONING
SYSTEMS
(LPS)
.
27
3-122
LOCAL
DATUM
CHOICE
IN
AN
LPS
3-D
NETWORK
.
28
3-13
RELATIONSHIP
BETWEEN
GLOBAL
AND
LOCAL
LEVEL
REFERENCE
FRAMES
.
29
3-14
OBSERVATION
EQUATIONS
.
30
3-2
SELECTED
GEODETIC
PROBLEMS
.
31
3-21
THREEDIMENSIONAL
RESECTION
PROBLEM
.
31
3-22
THE
MINIMUM
DISTANCE
MAPPING
PROBLEM
.
48
3-23
GPS
POSITIONING
WITH
OBSERVATIONS
OF
TYPE
PSEUDO-RANGES
.
51
3-231
THE
PSEUDO-RANGING
FOUR-POINT
PROBLEM
IN
GPS
POSITIONING
.
51
3-232
OVERDETERMINED
GPS
POSITIONING
WITH
OBSERVATIONS
OF
TYPE
PSEUDO-RANGES
.
57
3-233
LINEARIZED
LEAST
SQUARES
VERSUS
GAUSS-JACOBI
COMBINATORIAL
ALGORITHM
.
59
3-234
OUTLIER
DIAGNOSIS
.
60
VI
CONTENTS
4
TEST
NETWORK
STUTTGART
CENTRAL
63
4-1
OBSERVATIONS
.
64
4-2
CLOSED
FORM
SOLUTION
.
67
4-21
EXPERIMENT
.
;
.
67
4-3
OVERDETERMINED
SOLUTION
.
70
4-31
EXPERIMENT
.
70
4-4
RESULTS
.
73
4-41
DISTANCES
.
73
4-42
POSITION
.
73
5
CASE
STUDIES
83
5-1
GEOCENTRIC
CARTESIAN
TO
GAUSS
ELLIPSOIDAL
COORDINATES
.
83
5-2
7-PARAMETER
DATUM
TRANSFORMATION
.
87
6
SUMMARY
AND
CONCLUSIONS
95
APPENDICES
97
APPENDIX
A
1:
DEFINITIONS
.
97
APPENDIX
A-2:
SIMPLEXES
FOR
"
STUTTGART
CENTRAL
"
.
104
APPENDIX
A-3:
ERROR
PROPAGATION
.
108
APPENDIX
A-4:
C.
F.
GAUSS
COMBINATORIAL
APPROACH
.
110
REFERENCES
113 |
| any_adam_object | 1 |
| author | Awange, Joseph L. 1969- |
| author_GND | (DE-588)123537959 |
| author_facet | Awange, Joseph L. 1969- |
| author_role | aut |
| author_sort | Awange, Joseph L. 1969- |
| author_variant | j l a jl jla |
| building | Verbundindex |
| bvnumber | BV014216019 |
| classification_tum | MAT 659d GEO 936d |
| ctrlnum | (OCoLC)174889301 (DE-599)BVBBV014216019 |
| discipline | Geowissenschaften Mathematik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV014216019 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T01:04:26Z |
| institution | BVB |
| isbn | 3000089063 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009746908 |
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| physical | X, 121 S. graph. Darst. : 30 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | IAGB <<[u.a.]>> |
| record_format | marc |
| series | Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik |
| series2 | Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik |
| spelling | Awange, Joseph L. 1969- Verfasser (DE-588)123537959 aut Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms adjustment of nonlinear GPS LPS observations vorgelegt von Joseph L. Awange. Geodätisches Inst. der Universität Stuttgart. [Universität Stuttgart, IAGB ...] Stuttgart IAGB <<[u.a.]>> 2002 X, 121 S. graph. Darst. : 30 cm txt rdacontent n rdamedia nc rdacarrier Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik 2002,1 Zugl.: Stuttgart, Univ, Diss., 2001 GPS (DE-588)4216824-7 gnd rswk-swf Gröbner-Basis (DE-588)4276378-2 gnd rswk-swf Polynomring (DE-588)4175268-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Polynomring (DE-588)4175268-5 s Gröbner-Basis (DE-588)4276378-2 s GPS (DE-588)4216824-7 s DE-604 Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik 2002,1 (DE-604)BV013042572 2002,1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009746908&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Awange, Joseph L. 1969- Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms adjustment of nonlinear GPS LPS observations Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik GPS (DE-588)4216824-7 gnd Gröbner-Basis (DE-588)4276378-2 gnd Polynomring (DE-588)4175268-5 gnd |
| subject_GND | (DE-588)4216824-7 (DE-588)4276378-2 (DE-588)4175268-5 (DE-588)4113937-9 |
| title | Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms adjustment of nonlinear GPS LPS observations |
| title_auth | Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms adjustment of nonlinear GPS LPS observations |
| title_exact_search | Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms adjustment of nonlinear GPS LPS observations |
| title_full | Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms adjustment of nonlinear GPS LPS observations vorgelegt von Joseph L. Awange. Geodätisches Inst. der Universität Stuttgart. [Universität Stuttgart, IAGB ...] |
| title_fullStr | Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms adjustment of nonlinear GPS LPS observations vorgelegt von Joseph L. Awange. Geodätisches Inst. der Universität Stuttgart. [Universität Stuttgart, IAGB ...] |
| title_full_unstemmed | Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms adjustment of nonlinear GPS LPS observations vorgelegt von Joseph L. Awange. Geodätisches Inst. der Universität Stuttgart. [Universität Stuttgart, IAGB ...] |
| title_short | Gröbner bases, multipolynomial resultants and the Gauss-Jacobi combinatorial algorithms |
| title_sort | grobner bases multipolynomial resultants and the gauss jacobi combinatorial algorithms adjustment of nonlinear gps lps observations |
| title_sub | adjustment of nonlinear GPS LPS observations |
| topic | GPS (DE-588)4216824-7 gnd Gröbner-Basis (DE-588)4276378-2 gnd Polynomring (DE-588)4175268-5 gnd |
| topic_facet | GPS Gröbner-Basis Polynomring Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009746908&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013042572 |
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