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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->
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| Berlin ; ; Heidelberg, : Springer-Verlag, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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
9789819996018 |
| 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 |
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Hans-Gill R. J
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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