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Condition : the geometry of numerical algorithms / / Peter Burgisser, Felipe Cucker
Condition : the geometry of numerical algorithms / / Peter Burgisser, Felipe Cucker
Autore Bürgisser Peter <1962->
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Berlin ; ; Heidelberg, : Springer-Verlag, 2013
Descrizione fisica 1 online resource (xxxi, 554 pages) : illustrations
Disciplina 518
Altri autori (Persone) CuckerFelipe <1958->
Collana Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
Soggetto topico Numerical analysis
Geometry
Algorismes
Anàlisi numèrica
Àlgebra lineal
Conjunts convexos
Geometria estocàstica
Anàlisi d'error (Matemàtica)
Programació (Matemàtica)
Soggetto genere / forma Llibres electrònics
ISBN 9783642388965
3642388965
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Overture: On the Condition of Numerical Problems and the Numbers that Measure It -- I Condition in Linear Algebra (Adagio): 1 Normwise Condition of Linear Equation Solving -- 2 Probabilistic Analysis -- 3 Error Analysis of Triangular Linear Systems -- 4 Probabilistic Analysis of Rectangular Matrices -- 5 Condition Numbers and Iterative Algorithms -- Intermezzo I: Condition of Structured Data -- II Condition in Linear Optimization (Andante): 6 A Condition Number for Polyhedral Conic Systems -- 7 The Ellipsoid Method -- 8 Linear Programs and their Solution Sets -- 9 Interior-point Methods -- 10 The Linear Programming Feasibility Problem -- 11 Condition and Linear Programming Optimization -- 12 Average Analysis of the RCC Condition Number -- 13 Probabilistic Analyses of the GCC Condition Number -- Intermezzo II: The Condition of the Condition -- III Condition in Polynomial Equation Solving (Allegro con brio): 14 A Geometric Framework for Condition Numbers -- 15 Homotopy Continuation and Newton's Method -- 16 Homogeneous Polynomial Systems -- 17 Smale's 17th Problem: I -- 18 Smale's 17th Problem: II -- 19 Real Polynomial Systems -- 20 Probabilistic Analysis of Conic Condition Numbers: I. The Complex Case 4 -- 21 Probabilistic Analysis of Conic Condition Numbers: II. The Real Case -- Appendix .
Record Nr. UNINA-9910437876603321
Bürgisser Peter <1962->  
Berlin ; ; Heidelberg, : Springer-Verlag, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Elementary Convexity with Optimization / / by Vivek S. Borkar, K. S. Mallikarjuna Rao
Elementary Convexity with Optimization / / by Vivek S. Borkar, K. S. Mallikarjuna Rao
Autore Borkar Vivek S.
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (148 pages)
Disciplina 929.605
Collana Texts and Readings in Mathematics
Soggetto topico Mathematical optimization
Optimization
Conjunts convexos
Optimització matemàtica
Soggetto genere / forma Llibres electrònics
ISBN 981-9916-52-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Continuity and existence of optima -- Differentiability and local optimality -- Convex sets -- Convex functions -- Convex optimization -- Optimization algorithms: an overview -- Epilogue.
Record Nr. UNINA-9910734865303321
Borkar Vivek S.  
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Fundamentals of Convex Analysis and Optimization : A Supremum Function Approach / / by Rafael Correa, Abderrahim Hantoute, Marco A. López
Fundamentals of Convex Analysis and Optimization : A Supremum Function Approach / / by Rafael Correa, Abderrahim Hantoute, Marco A. López
Autore Correa Rafael <1890->
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (XIII, 444 p. 1 illus.)
Disciplina 515.882
Collana Springer Series in Operations Research and Financial Engineering
Soggetto topico Operations research
Management science
Mathematical optimization
Functional analysis
Operations Research, Management Science
Optimization
Functional Analysis
Funcions convexes
Conjunts convexos
Optimització matemàtica
Soggetto genere / forma Llibres electrònics
ISBN 3-031-29551-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction -- 2. Preliminaries -- 3. Fenchel-Moreau-Rockafellar theory -- 4. Fundamental topics in convex analysis -- 5. Supremum of convex functions -- 6. The supremum in specific contexts -- 7. Other subdifferential calculus rules -- 8. Miscellaneous -- 9. Exercises - Solutions -- Index -- Glossary of Notations -- Bibliography.
Record Nr. UNINA-9910734837003321
Correa Rafael <1890->  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lecture Notes on Geometry of Numbers / / by R. J. Hans-Gill, Madhu Raka, Ranjeet Sehmi
Lecture Notes on Geometry of Numbers / / by R. J. Hans-Gill, Madhu Raka, Ranjeet Sehmi
Autore Hans-Gill R. J
Edizione [1st ed. 2024.]
Pubbl/distr/stampa Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
Descrizione fisica 1 online resource (212 pages)
Disciplina 512.75
Altri autori (Persone) RakaMadhu
SehmiRanjeet
Collana University Texts in the Mathematical Sciences
Soggetto topico Number theory
Geometry, Algebraic
Number Theory
Algebraic Geometry
Geometria de nombres
Conjunts convexos
Soggetto genere / forma Llibres electrònics
ISBN 9789819996025
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Preliminaries -- 2. Minkowski's Fundamental Theorem and its Applications -- 3. Lattices -- 4. Minima of Positive De nite Quadratic Forms -- 5. Critical Determinant -- 6. Successive Minima -- 7. Packings Density -- 8. Coverings -- 9. Homogeneous Minimum -- 10. Inhomogeneous Problems.
Record Nr. UNINA-9910874686703321
Hans-Gill R. J  
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui