Simplical algorithms on the simplotope:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo
Springer
1988
|
| Schriftenreihe: | Lecture notes in economics and mathematical systems
318 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 255 - 262 |
| Beschreibung: | VIII, 262 S. graph. Darst. |
| ISBN: | 3540502335 0387502335 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1808588559935864832 |
|---|---|
| adam_text |
CONTENTS
PARTI
INTRODUCTION AND DEFINITIONS
CHARTER 1. INTRODUCTION
1.1. INTRODUCTION 3
1.2. HISTORICAL PERSPECTIVE 5
1.3. OUTLINE OF THE MONOGRAPH 13
CHARTER 2. DEFINITIONS AND EXISTENCE TOEOREHS
2.1. INTRODUCTION
15
2.2. BASIC CONCEPTS AND NOTATIONS 16
2.3. EXISTENCE THEOREMS 22
2.4. LABELLING FUNCTIONS AND ACCURACY 27
2.5. PURE EXCHANGE ECONOMLES 37
2.6. QUADRATICALLY CONSTRAINED QUADRATIC PROGRAMMING 38
2.7. ECONOMIES WITH A BLOCK DIAGONAL SUPPLY-DEMAND PATTERN 40
2.8. NONCOOPERATIVE N-PERSON GAMES 42
CHARTER 3. TRIANGULATIONS OF S" AND S
3-1. INTRODUCTION 45
3.2. THE Q-TRIANGULATION OF S" AND S 45
3-3- THE Q'-TRIANGULATION OF S 50
3.4. THE V-TRIANGULATION OF SN 51
3.5. THE V'- AND THE V-TRIANGULATION OF S 54
3.6. VARIANTS OF THE V-TRIANGULATION 6L
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/890225206
VI
PART II
ALGORITHMS ON THE UNIT SIMPLEX
CHAPTER 4. AN INTRODUCTION TO SIMPLICIAL ALGORITHMS ON THE UNIT SIMPLEX
4.1. INTRODUCTION ^
4.2. THE VARIABLE DIMENSLON RESTART ALGORITHM ON SN FOR PROPER
INTEGER LABELLING RULES
4.3. VARIABLE DIMENSION RESTART ALGORITHMS ON S" FOR ARBITRARY
INTEGER LABELLING RULES
4.4. VARIABLE DIMENSION RESTART ALGORITHMS ON S" FOR VECTOR
LABELLING ^
4.5. A PATH FOLLOWING INTERPRETATION OF THE VARIABLE DIMENSION
RESTART ALGORITHM FOR THE V-TRIANGULATION C
CHAPTER 5. THE (2N"-2)-RAY ALGORITHM
5-1. INTRODUCTION
5.2. THE PATH OF THE ALGORITHM
5-3- THE SUBDIVISION OF SN
5-4. THE STEPS OF THE ALGORITHM
CHAPTER
6
. THE 2-RAY ALGORITHM
95
96
99
105
6
.
1
. INTRODUCTION
6.2. THE PATH OF THE ALGORITHM
6
.
3
. THE SUBDIVISION OF SN
6.4. THE STEPS OF THE ALGORITHM
CHAPTER
7
. COMPARISONS AND COMPUTATIONAL RESULTS
111
112
113
120
7.1. INTRODUCTION
7.2. A COMPARISON OF THE VARIABLE DIMENSION RESTART ALGORITHMS ON SN
7.3. COMPUTATIONAL RESULTS
127
127
130
VII
PART III
ALGORITHMS ON THE SIMPLOTOPE
CHAPTER
8
. AN INTRODUCTION TO SIMPLICIAL ALGORITHMS ON THE SIMPLOTOPE
8.1. INTRODUCTION
137
8.2.
THE AUM-RAY ALGORITHM ON
S
FOR PROPER INTEGER LABELLING RULES
138
8.3.
VARIABLE DIAENSION REATART ALGORITHNA ON
S
FOR ARBITRARY
INTEGER LABELLING RULEA 142
8.4. THE AUM-RAY ALGORITHM ON S FOR VECTOR LABELLING 149
8.5. A
PATH FOLLOWING INTERPRETATION OF THE AUM-RAY ALGORITHM FOR
THE V'-TRIANGULATION
156
CHAPTER
9
. THE PRODUCT-RAY ALGORITHM
9.1. INTRODUCTION
159
9.2. THE PATH OF THE ALGORITHM 159
9-3. THE AUBDIVIAION OF S 162
9.4. THE STEPA OF THE ALGORITHM 166
CHAPTER 10. THE EXPONENT-RAY ALGORITHM
10.1. INTRODUCTION
173
10.2. THE PATH OF THE ALGORITHM 174
10.3. THE AUBDIVIAION OF S
177
10.4. THE
STEPS
OF THE ALGORITHM 186
CHAPTER 11. COMPARISONS AND COMPUTATIONAL RESULTS
11.1. INTRODUCTION
197
11.2. A COMPARISON OF THE VARIABLE DIMENSION RESTART ALGORITHMS ON S 197
11.3. COMPUTATIONAL RESULTS 200
VIII
PART IV
CONTINUOUS DEFORMATION
ON THE SIMPLOTOPE
CHAPTER 12. THE CONTINUOUS DEFORMATION ALGORITHM ON THE SIMPLOTOPE
12.1. INTRODUCTION 207
12.2. THE PATH OF THE ALGORITHM 208
12.3. TRIANGULATION OF S X [1,) 212
12.4. TRIANGULATION OF THE BOUNDARY OF S * [1,*) 226
12.5. THE STEPS OF THE CONTINUOUS DEFORMATION ALGORITHM ON S 239
REFERENCES 255 |
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| id | DE-604.BV024832799 |
| illustrated | Illustrated |
| indexdate | 2024-08-28T00:20:58Z |
| institution | BVB |
| isbn | 3540502335 0387502335 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019510666 |
| oclc_num | 613293198 |
| open_access_boolean | |
| owner | DE-11 DE-188 |
| owner_facet | DE-11 DE-188 |
| physical | VIII, 262 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Doup, Timothy 1957- Verfasser (DE-588)122197321 aut Simplical algorithms on the simplotope Timothy Doup Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo Springer 1988 VIII, 262 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 318 Literaturverz. S. 255 - 262 Quadratische Optimierung (DE-588)4130555-3 gnd rswk-swf Simplotop (DE-588)4204378-5 gnd rswk-swf Simplizialer Algorithmus (DE-588)4204382-7 gnd rswk-swf Simplexverfahren (DE-588)4181488-5 gnd rswk-swf Simplexverfahren (DE-588)4181488-5 s DE-604 Quadratische Optimierung (DE-588)4130555-3 s Simplotop (DE-588)4204378-5 s Simplizialer Algorithmus (DE-588)4204382-7 s Lecture notes in economics and mathematical systems 318 (DE-604)BV000000036 318 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019510666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Doup, Timothy 1957- Simplical algorithms on the simplotope Lecture notes in economics and mathematical systems Quadratische Optimierung (DE-588)4130555-3 gnd Simplotop (DE-588)4204378-5 gnd Simplizialer Algorithmus (DE-588)4204382-7 gnd Simplexverfahren (DE-588)4181488-5 gnd |
| subject_GND | (DE-588)4130555-3 (DE-588)4204378-5 (DE-588)4204382-7 (DE-588)4181488-5 |
| title | Simplical algorithms on the simplotope |
| title_auth | Simplical algorithms on the simplotope |
| title_exact_search | Simplical algorithms on the simplotope |
| title_full | Simplical algorithms on the simplotope Timothy Doup |
| title_fullStr | Simplical algorithms on the simplotope Timothy Doup |
| title_full_unstemmed | Simplical algorithms on the simplotope Timothy Doup |
| title_short | Simplical algorithms on the simplotope |
| title_sort | simplical algorithms on the simplotope |
| topic | Quadratische Optimierung (DE-588)4130555-3 gnd Simplotop (DE-588)4204378-5 gnd Simplizialer Algorithmus (DE-588)4204382-7 gnd Simplexverfahren (DE-588)4181488-5 gnd |
| topic_facet | Quadratische Optimierung Simplotop Simplizialer Algorithmus Simplexverfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019510666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT douptimothy simplicalalgorithmsonthesimplotope |