Holdings: Convex analysis :: THWS Bibkatalog

Convex analysis:

Saved in:

Bibliographic Details
Main Author:	Rockafellar, R. Tyrrell 1935- (Author)
Format:	Electronic eBook
Language:	English
Published:	Princeton, N.J. Princeton University Press 1997, ©1970
Series:	Princeton landmarks in mathematics and physics
Subjects:	Convex domains Convex functions Mathematical analysis Konvexe Analysis MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis MATHEMATICS / Optimization Mathematics Mathematik Konvexität
Online Access:	FAW01 FAW02 Volltext
Item Description:	"First published in the Princeton Mathematical Series in 1970"--Title page verso Print version record
Physical Description:	1 online resource (xviii, 451 pages)
ISBN:	0691015864 0691080690 1400873177 9780691015866 9780691080697 9781400873173

Staff View

MARC


LEADER	00000nmm a2200000zc 4500
001	BV043028177
003	DE-604
005	00000000000000.0
007	cr\|uuu---uuuuu
008	151120s1997 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d
020			\|a 0691015864 \|9 0-691-01586-4
020			\|a 0691080690 \|9 0-691-08069-0
020			\|a 1400873177 \|9 1-4008-7317-7
020			\|a 9780691015866 \|9 978-0-691-01586-6
020			\|a 9780691080697 \|9 978-0-691-08069-7
020			\|a 9781400873173 \|9 978-1-4008-7317-3
035			\|a (OCoLC)905969889
035			\|a (DE-599)BVBBV043028177
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
049			\|a DE-1046 \|a DE-1047
082	0		\|a 515.64 \|2 22
100	1		\|a Rockafellar, R. Tyrrell \|d 1935- \|e Verfasser \|4 aut
245	1	0	\|a Convex analysis \|c by R. Tyrrell Rockafellar
264		1	\|a Princeton, N.J. \|b Princeton University Press \|c 1997, ©1970
300			\|a 1 online resource (xviii, 451 pages)
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
490	0		\|a Princeton landmarks in mathematics and physics
500			\|a "First published in the Princeton Mathematical Series in 1970"--Title page verso
500			\|a Print version record
505	8		\|a Cover; Title; Copright; Dedication; Preface; Contents; Introductory Remarks: a Guide for the Reader ; PART I: BASIC CONCEPTS; 1. Affine Sets; 2. Convex Sets and Cones ; 3. The Algebra of Convex Sets; 4. Convex Functions; 5. Functional Operations; PART II: TOPOLOGICAL PROPERTIES; 6. Relative Interiors of Convex Sets; 7. Closures of Convex Functions; 8. Recession Cones and Unboundedness; 9. Some Closedness Criteria; 10. Continuity of Convex Functions; PART III: DUALITY CORRESPONDENCES; 11. Separation Theorems; 12. Conjugates of Convex Functions; 13. Support Functions
505	8		\|a 14. Polars of Convex Sets15. Polars of Convex Functions; 16. DualOperations; PART IV: REPRESENTATION AND INEQUALITIES; 17. Caratheodory's Theorem; 18. Extreme Points and Faces of Convex Sets; 19. Polyhedral Convex Sets and Functions; 20. Some Applications of Polyhedral Convexity; 21. Helly's Theorem and Systems of Inequalities; 22. Linear Inequalities; PART V: DIFFERENTIAL THEORY; 23. Directional Derivatives and Subgradients ; 24. Differential Continuity and Monotonicity.; 25. Differentiability of Convex Functions; 26. The Legendre Transformation
505	8		\|a PART VI: CONSTRAINED EXTREMUM PROBLEMS27. The Minimum of a Convex Function; 28. Ordinary Convex Programs and Lagrange Multipliers; 29. Bifunctions and Generalized Convex Programs; 30. Adjoint Bifunctions and Dual Programs; 31. Fenchel's Duality Theorem; 32. The Maximum of a Convex Function ; PART VII: SADDLE-FUNCTIONS AND MINIMAX THEORY; 33. Saddle-Functions; 34. Closures and Equivalence Classes; 35. Continuity and Differentiability of Saddle-functions; 36. Minimax Problems; 37. Conjugate Saddle-functions and Minimax Theorems; PART VIII: CONVEX ALGEBRA
505	8		\|a 38. The Algebra of Bifunctions39. Convex Processes; Comments and References ; Bibliography; Index
505	8		\|a Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and
650		7	\|a Convex domains \|2 fast
650		7	\|a Convex functions \|2 fast
650		7	\|a Mathematical analysis \|2 fast
650		7	\|a Konvexe Analysis \|2 swd
650		7	\|a MATHEMATICS / Calculus \|2 bisacsh
650		7	\|a MATHEMATICS / Mathematical Analysis \|2 bisacsh
650		7	\|a MATHEMATICS / Optimization \|2 bisacsh
650		4	\|a Convex domains
650		4	\|a Mathematical analysis
650		4	\|a Mathematics
650		4	\|a Mathematik
650		4	\|a Convex domains
650		4	\|a Convex functions
650		4	\|a Mathematical analysis
650	0	7	\|a Konvexität \|0 (DE-588)4114284-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Konvexe Analysis \|0 (DE-588)4138566-4 \|2 gnd \|9 rswk-swf
689	0	0	\|a Konvexe Analysis \|0 (DE-588)4138566-4 \|D s
689	0		\|8 1\p \|5 DE-604
689	1	0	\|a Konvexität \|0 (DE-588)4114284-6 \|D s
689	1		\|8 2\p \|5 DE-604
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe \|a Rockafellar, R \|t Tyrrell, 1935-. Convex analysis
856	4	0	\|u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=969057 \|x Aggregator \|3 Volltext
912			\|a ZDB-4-EBA
999			\|a oai:aleph.bib-bvb.de:BVB01-028452829
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 2\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
966	e		\|u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=969057 \|l FAW01 \|p ZDB-4-EBA \|q FAW_PDA_EBA \|x Aggregator \|3 Volltext
966	e		\|u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=969057 \|l FAW02 \|p ZDB-4-EBA \|q FAW_PDA_EBA \|x Aggregator \|3 Volltext

Record in the Search Index

_version_	1804175382683844608
any_adam_object
author	Rockafellar, R. Tyrrell 1935-
author_facet	Rockafellar, R. Tyrrell 1935-
author_role	aut
author_sort	Rockafellar, R. Tyrrell 1935-
author_variant	r t r rt rtr
building	Verbundindex
bvnumber	BV043028177
collection	ZDB-4-EBA
contents	Cover; Title; Copright; Dedication; Preface; Contents; Introductory Remarks: a Guide for the Reader ; PART I: BASIC CONCEPTS; 1. Affine Sets; 2. Convex Sets and Cones ; 3. The Algebra of Convex Sets; 4. Convex Functions; 5. Functional Operations; PART II: TOPOLOGICAL PROPERTIES; 6. Relative Interiors of Convex Sets; 7. Closures of Convex Functions; 8. Recession Cones and Unboundedness; 9. Some Closedness Criteria; 10. Continuity of Convex Functions; PART III: DUALITY CORRESPONDENCES; 11. Separation Theorems; 12. Conjugates of Convex Functions; 13. Support Functions 14. Polars of Convex Sets15. Polars of Convex Functions; 16. DualOperations; PART IV: REPRESENTATION AND INEQUALITIES; 17. Caratheodory's Theorem; 18. Extreme Points and Faces of Convex Sets; 19. Polyhedral Convex Sets and Functions; 20. Some Applications of Polyhedral Convexity; 21. Helly's Theorem and Systems of Inequalities; 22. Linear Inequalities; PART V: DIFFERENTIAL THEORY; 23. Directional Derivatives and Subgradients ; 24. Differential Continuity and Monotonicity.; 25. Differentiability of Convex Functions; 26. The Legendre Transformation PART VI: CONSTRAINED EXTREMUM PROBLEMS27. The Minimum of a Convex Function; 28. Ordinary Convex Programs and Lagrange Multipliers; 29. Bifunctions and Generalized Convex Programs; 30. Adjoint Bifunctions and Dual Programs; 31. Fenchel's Duality Theorem; 32. The Maximum of a Convex Function ; PART VII: SADDLE-FUNCTIONS AND MINIMAX THEORY; 33. Saddle-Functions; 34. Closures and Equivalence Classes; 35. Continuity and Differentiability of Saddle-functions; 36. Minimax Problems; 37. Conjugate Saddle-functions and Minimax Theorems; PART VIII: CONVEX ALGEBRA 38. The Algebra of Bifunctions39. Convex Processes; Comments and References ; Bibliography; Index Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and
ctrlnum	(OCoLC)905969889 (DE-599)BVBBV043028177
dewey-full	515.64
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.64
dewey-search	515.64
dewey-sort	3515.64
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05265nmm a2200745zc 4500</leader><controlfield tag="001">BV043028177</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">151120s1997 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691015864</subfield><subfield code="9">0-691-01586-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691080690</subfield><subfield code="9">0-691-08069-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1400873177</subfield><subfield code="9">1-4008-7317-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691015866</subfield><subfield code="9">978-0-691-01586-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691080697</subfield><subfield code="9">978-0-691-08069-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400873173</subfield><subfield code="9">978-1-4008-7317-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)905969889</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043028177</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.64</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rockafellar, R. Tyrrell</subfield><subfield code="d">1935-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Convex analysis</subfield><subfield code="c">by R. Tyrrell Rockafellar</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, N.J.</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">1997, ©1970</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xviii, 451 pages)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Princeton landmarks in mathematics and physics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"First published in the Princeton Mathematical Series in 1970"--Title page verso</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Print version record</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Cover; Title; Copright; Dedication; Preface; Contents; Introductory Remarks: a Guide for the Reader ; PART I: BASIC CONCEPTS; 1. Affine Sets; 2. Convex Sets and Cones ; 3. The Algebra of Convex Sets; 4. Convex Functions; 5. Functional Operations; PART II: TOPOLOGICAL PROPERTIES; 6. Relative Interiors of Convex Sets; 7. Closures of Convex Functions; 8. Recession Cones and Unboundedness; 9. Some Closedness Criteria; 10. Continuity of Convex Functions; PART III: DUALITY CORRESPONDENCES; 11. Separation Theorems; 12. Conjugates of Convex Functions; 13. Support Functions</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">14. Polars of Convex Sets15. Polars of Convex Functions; 16. DualOperations; PART IV: REPRESENTATION AND INEQUALITIES; 17. Caratheodory's Theorem; 18. Extreme Points and Faces of Convex Sets; 19. Polyhedral Convex Sets and Functions; 20. Some Applications of Polyhedral Convexity; 21. Helly's Theorem and Systems of Inequalities; 22. Linear Inequalities; PART V: DIFFERENTIAL THEORY; 23. Directional Derivatives and Subgradients ; 24. Differential Continuity and Monotonicity.; 25. Differentiability of Convex Functions; 26. The Legendre Transformation</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">PART VI: CONSTRAINED EXTREMUM PROBLEMS27. The Minimum of a Convex Function; 28. Ordinary Convex Programs and Lagrange Multipliers; 29. Bifunctions and Generalized Convex Programs; 30. Adjoint Bifunctions and Dual Programs; 31. Fenchel's Duality Theorem; 32. The Maximum of a Convex Function ; PART VII: SADDLE-FUNCTIONS AND MINIMAX THEORY; 33. Saddle-Functions; 34. Closures and Equivalence Classes; 35. Continuity and Differentiability of Saddle-functions; 36. Minimax Problems; 37. Conjugate Saddle-functions and Minimax Theorems; PART VIII: CONVEX ALGEBRA</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">38. The Algebra of Bifunctions39. Convex Processes; Comments and References ; Bibliography; Index</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Convex domains</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Convex functions</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematical analysis</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Konvexe Analysis</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Calculus</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Mathematical Analysis</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Optimization</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex domains</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex domains</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexität</subfield><subfield code="0">(DE-588)4114284-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexe Analysis</subfield><subfield code="0">(DE-588)4138566-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Konvexe Analysis</subfield><subfield code="0">(DE-588)4138566-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Konvexität</subfield><subfield code="0">(DE-588)4114284-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="a">Rockafellar, R</subfield><subfield code="t">Tyrrell, 1935-. Convex analysis</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=969057</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028452829</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=969057</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=969057</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection>
id	DE-604.BV043028177
illustrated	Not Illustrated
indexdate	2024-07-10T07:15:24Z
institution	BVB
isbn	0691015864 0691080690 1400873177 9780691015866 9780691080697 9781400873173
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-028452829
oclc_num	905969889
open_access_boolean
owner	DE-1046 DE-1047
owner_facet	DE-1046 DE-1047
physical	1 online resource (xviii, 451 pages)
psigel	ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA
publishDate	1997
publishDateSearch	1997
publishDateSort	1997
publisher	Princeton University Press
record_format	marc
series2	Princeton landmarks in mathematics and physics
spelling	Rockafellar, R. Tyrrell 1935- Verfasser aut Convex analysis by R. Tyrrell Rockafellar Princeton, N.J. Princeton University Press 1997, ©1970 1 online resource (xviii, 451 pages) txt rdacontent c rdamedia cr rdacarrier Princeton landmarks in mathematics and physics "First published in the Princeton Mathematical Series in 1970"--Title page verso Print version record Cover; Title; Copright; Dedication; Preface; Contents; Introductory Remarks: a Guide for the Reader ; PART I: BASIC CONCEPTS; 1. Affine Sets; 2. Convex Sets and Cones ; 3. The Algebra of Convex Sets; 4. Convex Functions; 5. Functional Operations; PART II: TOPOLOGICAL PROPERTIES; 6. Relative Interiors of Convex Sets; 7. Closures of Convex Functions; 8. Recession Cones and Unboundedness; 9. Some Closedness Criteria; 10. Continuity of Convex Functions; PART III: DUALITY CORRESPONDENCES; 11. Separation Theorems; 12. Conjugates of Convex Functions; 13. Support Functions 14. Polars of Convex Sets15. Polars of Convex Functions; 16. DualOperations; PART IV: REPRESENTATION AND INEQUALITIES; 17. Caratheodory's Theorem; 18. Extreme Points and Faces of Convex Sets; 19. Polyhedral Convex Sets and Functions; 20. Some Applications of Polyhedral Convexity; 21. Helly's Theorem and Systems of Inequalities; 22. Linear Inequalities; PART V: DIFFERENTIAL THEORY; 23. Directional Derivatives and Subgradients ; 24. Differential Continuity and Monotonicity.; 25. Differentiability of Convex Functions; 26. The Legendre Transformation PART VI: CONSTRAINED EXTREMUM PROBLEMS27. The Minimum of a Convex Function; 28. Ordinary Convex Programs and Lagrange Multipliers; 29. Bifunctions and Generalized Convex Programs; 30. Adjoint Bifunctions and Dual Programs; 31. Fenchel's Duality Theorem; 32. The Maximum of a Convex Function ; PART VII: SADDLE-FUNCTIONS AND MINIMAX THEORY; 33. Saddle-Functions; 34. Closures and Equivalence Classes; 35. Continuity and Differentiability of Saddle-functions; 36. Minimax Problems; 37. Conjugate Saddle-functions and Minimax Theorems; PART VIII: CONVEX ALGEBRA 38. The Algebra of Bifunctions39. Convex Processes; Comments and References ; Bibliography; Index Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and Convex domains fast Convex functions fast Mathematical analysis fast Konvexe Analysis swd MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Optimization bisacsh Convex domains Mathematical analysis Mathematics Mathematik Convex functions Konvexität (DE-588)4114284-6 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 s 1\p DE-604 Konvexität (DE-588)4114284-6 s 2\p DE-604 Erscheint auch als Druck-Ausgabe Rockafellar, R Tyrrell, 1935-. Convex analysis http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=969057 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Rockafellar, R. Tyrrell 1935- Convex analysis Cover; Title; Copright; Dedication; Preface; Contents; Introductory Remarks: a Guide for the Reader ; PART I: BASIC CONCEPTS; 1. Affine Sets; 2. Convex Sets and Cones ; 3. The Algebra of Convex Sets; 4. Convex Functions; 5. Functional Operations; PART II: TOPOLOGICAL PROPERTIES; 6. Relative Interiors of Convex Sets; 7. Closures of Convex Functions; 8. Recession Cones and Unboundedness; 9. Some Closedness Criteria; 10. Continuity of Convex Functions; PART III: DUALITY CORRESPONDENCES; 11. Separation Theorems; 12. Conjugates of Convex Functions; 13. Support Functions 14. Polars of Convex Sets15. Polars of Convex Functions; 16. DualOperations; PART IV: REPRESENTATION AND INEQUALITIES; 17. Caratheodory's Theorem; 18. Extreme Points and Faces of Convex Sets; 19. Polyhedral Convex Sets and Functions; 20. Some Applications of Polyhedral Convexity; 21. Helly's Theorem and Systems of Inequalities; 22. Linear Inequalities; PART V: DIFFERENTIAL THEORY; 23. Directional Derivatives and Subgradients ; 24. Differential Continuity and Monotonicity.; 25. Differentiability of Convex Functions; 26. The Legendre Transformation PART VI: CONSTRAINED EXTREMUM PROBLEMS27. The Minimum of a Convex Function; 28. Ordinary Convex Programs and Lagrange Multipliers; 29. Bifunctions and Generalized Convex Programs; 30. Adjoint Bifunctions and Dual Programs; 31. Fenchel's Duality Theorem; 32. The Maximum of a Convex Function ; PART VII: SADDLE-FUNCTIONS AND MINIMAX THEORY; 33. Saddle-Functions; 34. Closures and Equivalence Classes; 35. Continuity and Differentiability of Saddle-functions; 36. Minimax Problems; 37. Conjugate Saddle-functions and Minimax Theorems; PART VIII: CONVEX ALGEBRA 38. The Algebra of Bifunctions39. Convex Processes; Comments and References ; Bibliography; Index Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and Convex domains fast Convex functions fast Mathematical analysis fast Konvexe Analysis swd MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Optimization bisacsh Convex domains Mathematical analysis Mathematics Mathematik Convex functions Konvexität (DE-588)4114284-6 gnd Konvexe Analysis (DE-588)4138566-4 gnd
subject_GND	(DE-588)4114284-6 (DE-588)4138566-4
title	Convex analysis
title_auth	Convex analysis
title_exact_search	Convex analysis
title_full	Convex analysis by R. Tyrrell Rockafellar
title_fullStr	Convex analysis by R. Tyrrell Rockafellar
title_full_unstemmed	Convex analysis by R. Tyrrell Rockafellar
title_short	Convex analysis
title_sort	convex analysis
topic	Convex domains fast Convex functions fast Mathematical analysis fast Konvexe Analysis swd MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Optimization bisacsh Convex domains Mathematical analysis Mathematics Mathematik Convex functions Konvexität (DE-588)4114284-6 gnd Konvexe Analysis (DE-588)4138566-4 gnd
topic_facet	Convex domains Convex functions Mathematical analysis Konvexe Analysis MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis MATHEMATICS / Optimization Mathematics Mathematik Konvexität
url	http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=969057
work_keys_str_mv	AT rockafellarrtyrrell convexanalysis

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Get full text

MARC

Record in the Search Index

There is no print copy available.

Similar Items