An easy path to convex analysis and applications:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2023]
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Synthesis lectures on mathematics & statistics
|
| Schlagworte: | |
| Beschreibung: | This book examines the most fundamental parts of convex analysis and its applications to optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a theory of generalized differentiation for convex functions and sets in finite dimensions. The book serves as a bridge for the readers who have just started using convex analysis to reach deeper topics in the field. Detailed proofs are presented for most of the results in the book and also included are many figures and exercises for better understanding the material. Applications provided include both the classical topics of convex optimization and important problems of modern convex optimization, convex geometry, and facility location.In addition, this book:- Explains the fundamental theory with an accessible and understandable variational geometric approach;- Provides easy access to theoretical and numerical applications to convex optimization and geometry;- Simplifies relative interiors of convex sets in developing the theory of generalized differentiation in finite dimensions Convex Sets and Functions.- Convex Separation and Some Consequences.- Convex Generalized Differentiation.- Fenchel Conjugate and Further Topics In Subdifferentiation.- Remarkable Consequences of Convexity.- Minimal Time Functions and Related Issues.- Applications To Problems of Optimization and Equilibrium.- Applications To Location Problems. |
| Beschreibung: | xx, 300 Seiten Illustrationen 240 mm |
| ISBN: | 9783031264603 |
Internformat
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| 500 | |a This book examines the most fundamental parts of convex analysis and its applications to optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a theory of generalized differentiation for convex functions and sets in finite dimensions. The book serves as a bridge for the readers who have just started using convex analysis to reach deeper topics in the field. Detailed proofs are presented for most of the results in the book and also included are many figures and exercises for better understanding the material. Applications provided include both the classical topics of convex optimization and important problems of modern convex optimization, convex geometry, and facility location.In addition, this book:- Explains the fundamental theory with an accessible and understandable variational geometric approach;- Provides easy access to theoretical and numerical applications to convex optimization and geometry;- Simplifies relative interiors of convex sets in developing the theory of generalized differentiation in finite dimensions | ||
| 500 | |a Convex Sets and Functions.- Convex Separation and Some Consequences.- Convex Generalized Differentiation.- Fenchel Conjugate and Further Topics In Subdifferentiation.- Remarkable Consequences of Convexity.- Minimal Time Functions and Related Issues.- Applications To Problems of Optimization and Equilibrium.- Applications To Location Problems. | ||
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| 650 | 4 | |a Dynamics | |
| 650 | 4 | |a Nonlinear theories | |
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| 650 | 0 | 7 | |a Konvexe Optimierung |0 (DE-588)4137027-2 |2 gnd |9 rswk-swf |
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-031-26458-0 |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035096208 | |
Datensatz im Suchindex
| _version_ | 1809767053545963520 |
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| adam_text | |
| any_adam_object | |
| author | Morduchovič, Boris S. Nguyen, Mau Nam |
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| building | Verbundindex |
| bvnumber | BV049754646 |
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| edition | Second edition |
| format | Book |
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| id | DE-604.BV049754646 |
| illustrated | Illustrated |
| indexdate | 2024-09-10T00:32:37Z |
| institution | BVB |
| isbn | 9783031264603 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035096208 |
| oclc_num | 1409587169 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | xx, 300 Seiten Illustrationen 240 mm |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Springer |
| record_format | marc |
| series2 | Synthesis lectures on mathematics & statistics |
| spelling | Morduchovič, Boris S. Verfasser (DE-588)104316845 aut An easy path to convex analysis and applications Second edition Cham Springer [2023] xx, 300 Seiten Illustrationen 240 mm txt rdacontent n rdamedia nc rdacarrier Synthesis lectures on mathematics & statistics This book examines the most fundamental parts of convex analysis and its applications to optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a theory of generalized differentiation for convex functions and sets in finite dimensions. The book serves as a bridge for the readers who have just started using convex analysis to reach deeper topics in the field. Detailed proofs are presented for most of the results in the book and also included are many figures and exercises for better understanding the material. Applications provided include both the classical topics of convex optimization and important problems of modern convex optimization, convex geometry, and facility location.In addition, this book:- Explains the fundamental theory with an accessible and understandable variational geometric approach;- Provides easy access to theoretical and numerical applications to convex optimization and geometry;- Simplifies relative interiors of convex sets in developing the theory of generalized differentiation in finite dimensions Convex Sets and Functions.- Convex Separation and Some Consequences.- Convex Generalized Differentiation.- Fenchel Conjugate and Further Topics In Subdifferentiation.- Remarkable Consequences of Convexity.- Minimal Time Functions and Related Issues.- Applications To Problems of Optimization and Equilibrium.- Applications To Location Problems. bicssc bisacsh Engineering mathematics Dynamics Nonlinear theories Mathematics Konvexe Optimierung (DE-588)4137027-2 gnd rswk-swf Hardcover, Softcover / Mathematik Konvexe Optimierung (DE-588)4137027-2 s DE-604 Nguyen, Mau Nam Verfasser (DE-588)1263890857 aut Erscheint auch als Online-Ausgabe 978-3-031-26458-0 |
| spellingShingle | Morduchovič, Boris S. Nguyen, Mau Nam An easy path to convex analysis and applications bicssc bisacsh Engineering mathematics Dynamics Nonlinear theories Mathematics Konvexe Optimierung (DE-588)4137027-2 gnd |
| subject_GND | (DE-588)4137027-2 |
| title | An easy path to convex analysis and applications |
| title_auth | An easy path to convex analysis and applications |
| title_exact_search | An easy path to convex analysis and applications |
| title_full | An easy path to convex analysis and applications |
| title_fullStr | An easy path to convex analysis and applications |
| title_full_unstemmed | An easy path to convex analysis and applications |
| title_short | An easy path to convex analysis and applications |
| title_sort | an easy path to convex analysis and applications |
| topic | bicssc bisacsh Engineering mathematics Dynamics Nonlinear theories Mathematics Konvexe Optimierung (DE-588)4137027-2 gnd |
| topic_facet | bicssc bisacsh Engineering mathematics Dynamics Nonlinear theories Mathematics Konvexe Optimierung |
| work_keys_str_mv | AT morduchovicboriss aneasypathtoconvexanalysisandapplications AT nguyenmaunam aneasypathtoconvexanalysisandapplications |