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Graph Theory [[electronic resource] ] : Favorite Conjectures and Open Problems - 2 / / edited by Ralucca Gera, Teresa W. Haynes, Stephen T. Hedetniemi
| Graph Theory [[electronic resource] ] : Favorite Conjectures and Open Problems - 2 / / edited by Ralucca Gera, Teresa W. Haynes, Stephen T. Hedetniemi |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (VI, 281 p. 51 illus., 15 illus. in color.) |
| Disciplina | 511.6 |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Graph theory
Combinatorics Matrix theory Algebra Mathematics History Graph Theory Linear and Multilinear Algebras, Matrix Theory History of Mathematical Sciences |
| ISBN | 3-319-97686-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Desert Island Conjectures (L.W. Beineke) -- 2. Binding Number, Cycles and Cliques ( W. Goddard) -- 3. On a Conjecture Involving Laplacian Eigenvalues of Trees (D. P. Jacobs and V. Trevison) -- 4. Queens Around the World in Twenty-five Years ( D. Weakley) -- 5. Reflections on a Theme of Ulam (R.Graham) -- 6. Ulam Numbers of Graphs (S.T. Hedetniemi) -- 7. Forbidden Trees (D. Sumner) -- 8. Some of My Favorite Conjectures: Local Conditions Implying Global Cycle Properties (O. Oellermann) -- 9. The Path Partition Conjecture (M. Frick and J. E. Dunbar) -- 10. To the Moon and Beyond (E. Gethner) -- 11. My Favorite Domination Game Conjectures (M. A. Henning) -- 12. A De Bruijn–Erdos theorem in graphs? (V. Chvatal) -- 13. An Annotated Glossary of Graph Theory Parameters, with Conjectures (R. Gera, T. W. Haynes, S. T. Hedetniemi, and M. A. Henning). |
| Record Nr. | UNINA-9910300134303321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Graph Theory [[electronic resource] ] : Favorite Conjectures and Open Problems - 1 / / edited by Ralucca Gera, Stephen Hedetniemi, Craig Larson
| Graph Theory [[electronic resource] ] : Favorite Conjectures and Open Problems - 1 / / edited by Ralucca Gera, Stephen Hedetniemi, Craig Larson |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XII, 291 p. 114 illus., 24 illus. in color.) |
| Disciplina | 511.5 |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Graph theory
Combinatorics Matrix theory Algebra Mathematics History Graph Theory Linear and Multilinear Algebras, Matrix Theory History of Mathematical Sciences |
| ISBN | 3-319-31940-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Highly Irregular (G. Chartrand) -- Hamiltonian Extension (P. Zhang) -- On Some Open Questions for Ramsey and Folkman Numbers (S. Radziszowski and X. Xu) -- All my favorite conjectures are critical(T. Haynes) -- The local representation of graph conjecture(E. Scheinerman) -- Some of My Favorite Coloring Problems for Graphs and Digraphs (J. Gimble) -- My Top 10 Favorite Conjectures and Open Problems(S. Hedetniemi) -- Chvátal's t0-tough conjecture (L. Lesniak) -- What do Trees and Hypercubes have in Common (H. Mulder) -- Two chromatic conjectures: one for vertices, one for edges (M. Kayll) -- Some Conjectures and Questions in Chromatic Topological Graph Theory (J. Hutchinson) -- Turan's Brick factory problem (L. Szekely). -It is all labeling (P. Slater) -- My Favorite Domination Conjectures (M. Henning) -- Circuit Double Covers of Graphs (C. Zhang). . |
| Record Nr. | UNINA-9910254083303321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Graphs and Matrices [[electronic resource] /] / by Ravindra B. Bapat
| Graphs and Matrices [[electronic resource] /] / by Ravindra B. Bapat |
| Autore | Bapat Ravindra B |
| Edizione | [2nd ed. 2014.] |
| Pubbl/distr/stampa | London : , : Springer London : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XI, 193 p. 32 illus.) : online resource |
| Disciplina | 512.5 |
| Collana | Universitext |
| Soggetto topico |
Matrix theory
Algebra Linear and Multilinear Algebras, Matrix Theory |
| ISBN | 1-4471-6569-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- Incidence Matrix -- Adjacency Matrix -- Laplacian Matrix -- Cycles and Cuts -- Regular Graphs -- Line Graph of a Tree -- Algebraic Connectivity -- Distance Matrix of a Tree -- Resistance Distance -- Laplacian Eigenvalues of Threshold Graphs -- Positive Definite Completion Problem -- Matrix Games Based on Graphs. |
| Record Nr. | UNINA-9910299983303321 |
Bapat Ravindra B
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| London : , : Springer London : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Groups, Matrices, and Vector Spaces [[electronic resource] ] : A Group Theoretic Approach to Linear Algebra / / by James B. Carrell
| Groups, Matrices, and Vector Spaces [[electronic resource] ] : A Group Theoretic Approach to Linear Algebra / / by James B. Carrell |
| Autore | Carrell James B |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XV, 410 p.) |
| Disciplina | 512.2 |
| Collana | Universitext |
| Soggetto topico |
Commutative algebra
Commutative rings Matrix theory Algebra Group theory Algebraic geometry Commutative Rings and Algebras Linear and Multilinear Algebras, Matrix Theory Group Theory and Generalizations Algebraic Geometry |
| ISBN | 0-387-79428-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Preliminaries -- 2. Groups and Fields: The Two Fundamental Notions of Algebra -- 3. Vector Spaces -- 4. Linear Mappings -- 5. Eigentheory -- 6. Unitary Diagonalization and Quadratic Forms -- 7. The Structure Theory of Linear Mappings -- 8. Theorems on Group Theory -- 9. Linear Algebraic Groups: An Introduction -- Bibliography -- Index. |
| Record Nr. | UNINA-9910254311003321 |
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Carrell James B
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hasse-Schmidt derivations on Grassmann algebras [[electronic resource] ] : with applications to vertex operators / / by Letterio Gatto, Parham Salehyan
| Hasse-Schmidt derivations on Grassmann algebras [[electronic resource] ] : with applications to vertex operators / / by Letterio Gatto, Parham Salehyan |
| Autore | Gatto Letterio |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XXIV, 195 p. 16 illus.) |
| Disciplina | 512.5 |
| Collana | IMPA Monographs |
| Soggetto topico |
Matrix theory
Algebra Differential equations Operator theory Linear and Multilinear Algebras, Matrix Theory Ordinary Differential Equations Operator Theory |
| ISBN | 3-319-31842-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Prologue -- Generic Linear Recurrence Sequences -- Algebras and Derivations -- Hasse-Schmidt Derivations on Exterior Algebras -- Schubert Derivations -- Decomposable Tensors in Exterior Powers -- Vertex Operators via Generic LRS -- Index. |
| Record Nr. | UNINA-9910254065303321 |
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Gatto Letterio
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hierarchical matrices: algorithms and analysis [[electronic resource] /] / by Wolfgang Hackbusch
| Hierarchical matrices: algorithms and analysis [[electronic resource] /] / by Wolfgang Hackbusch |
| Autore | Hackbusch Wolfgang |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (532 p.) |
| Disciplina | 512.9434 |
| Collana | Springer Series in Computational Mathematics |
| Soggetto topico |
Numerical analysis
Algorithms Partial differential equations Integral equations Matrix theory Algebra Numerical Analysis Partial Differential Equations Integral Equations Linear and Multilinear Algebras, Matrix Theory |
| ISBN | 3-662-47324-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Part I: Introductory and Preparatory Topics -- 1. Introduction -- 2. Rank-r Matrices -- 3. Introductory Example -- 4. Separable Expansions and Low-Rank Matrices -- 5. Matrix Partition -- Part II: H-Matrices and Their Arithmetic -- 6. Definition and Properties of Hierarchical Matrices -- 7. Formatted Matrix Operations for Hierarchical Matrices -- 8. H2-Matrices -- 9. Miscellaneous Supplements -- Part III: Applications -- 10. Applications to Discretised Integral Operators -- 11. Applications to Finite Element Matrices -- 12. Inversion with Partial Evaluation -- 13. Eigenvalue Problems -- 14. Matrix Functions -- 15. Matrix Equations -- 16. Tensor Spaces -- Part IV: Appendices -- A. Graphs and Trees -- B. Polynomials -- C. Linear Algebra and Functional Analysis -- D. Sinc Functions and Exponential Sums -- E. Asymptotically Smooth Functions -- References -- Index. |
| Record Nr. | UNINA-9910300248003321 |
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Hackbusch Wolfgang
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Höhere Mathematik in Rezepten [[electronic resource] ] : Begriffe, Sätze und zahlreiche Beispiele in kurzen Lerneinheiten / / von Christian Karpfinger
| Höhere Mathematik in Rezepten [[electronic resource] ] : Begriffe, Sätze und zahlreiche Beispiele in kurzen Lerneinheiten / / von Christian Karpfinger |
| Autore | Karpfinger Christian |
| Edizione | [3rd ed. 2017.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2017 |
| Descrizione fisica | 1 online resource (XXVIII, 973 S. 199 Abb., 14 Abb. in Farbe.) |
| Disciplina | 512.5 |
| Soggetto topico |
Matrix theory
Algebra Differential equations Partial differential equations Linear and Multilinear Algebras, Matrix Theory Ordinary Differential Equations Partial Differential Equations |
| ISBN | 3-662-54809-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Vorwort -- 1 Sprechweisen, Symbole und Mengen -- 2 Die natürlichen, ganzen und rationalen Zahlen -- 3 Die reellen Zahlen -- 4 Maschinenzahlen -- 5 Polynome -- 6 Trigonometrische Funktionen -- 7 Komplexe Zahlen - Kartesische Koordinaten -- 8 Komplexe Zahlen – Polarkoordinaten -- 9 Lineare Gleichungssysteme -- 10 Rechnen mit Matrizen -- 11 LR-Zerlegung einer Matrix -- 12 Die Determinante -- 13 Vektorräume -- 14 Erzeugendensysteme und lineare (Un-)Abhängigkeit -- 15 Basen von Vektorräumen -- 16 Orthogonalität I -- 17 Orthogonalität II -- 18 Das lineare Ausgleichsproblem -- 19 Die QR-Zerlegung einer Matrix -- 20 Folgen -- 21 Berechnung von Grenzwerten von Folgen -- 22 Reihen -- 23 Abbildungen -- 24 Potenzreihen -- 25 Grenzwerte und Stetigkeit -- 26 Differentiation -- 27 Anwendungen der Differentialrechnung I -- 28 Anwendungen der Differentialrechnung II -- 29 Polynom- und Splineinterpolation -- 30 Integration I -- 31 Integration II -- 32 Uneigentliche Integrale -- 33 Separierbare und lineare Differentialgleichungen 1. Ordnung -- 34 Lineare Differentialgleichungen mit konstanten Koeffizienten -- 35 Einige besondere Typen von Differentialgleichungen -- 36 Numerik gewöhnlicher Differentialgleichungen I -- 37 Lineare Abbildungen und Darstellungsmatrizen -- 38 Basistransformation -- 39 Diagonalisierung - Eigenwerte und Eigenvektoren -- 40 Numerische Berechnung von Eigenwerten und Eigenvektoren -- 41 Quadriken -- 42 Schurzerlegung und Singulärwertzerlegung -- 43 Die Jordannormalform I -- 44 Die Jordannormalform II -- 45 Definitheit und Matrixnormen -- 46 Funktionen mehrerer Veränderlicher -- 47 Partielle Differentiation - Gradient, Hessematrix, Jacobimatrix -- 48 Anwendungen der partiellen Ableitungen -- 49 Extremwertbestimmung -- 50 Extremwertbestimmung unter Nebenbedingungen -- 51 Totale Differentiation, Differentialoperatoren -- 52 Implizite Funktionen -- 53 Koordinatentransformationen -- 54 Kurven I -- 55 Kurven II -- 56 Kurvenintegrale -- 57 Gradientenfelder -- 58 Bereichsintegrale -- 59 Die Transformationsformel -- 60 Flächen und Flächenintegrale -- 61 Integralsätze I -- 62 Integralsätze II -- 63 Allgemeines zu Differentialgleichungen -- 64 Die exakte Differentialgleichung -- 65 Lineare Differentialgleichungssysteme I -- 66 Lineare Differentialgleichungssysteme II -- 67 Lineare Differentialgleichungssysteme II -- 68 Randwertprobleme -- 69 Grundbegriffe der Numerik -- 70 Fixpunktiteration -- 71 Iterative Verfahren für lineare Gleichungssysteme -- 72 Optimierung -- 73 Numerik gewöhnlicher Differentialgleichungen II -- 74 Fourierreihen - Berechnung der Fourierkoeffzienten -- 75 Fourierreihen - Hintergründe, Sätze und Anwendung -- 76 Fouriertransformation I -- 77 Fouriertransformation II -- 78 Diskrete Fouriertransformation -- 79 Die Laplacetransformation -- 80 Holomorphe Funktionen -- 81 Komplexe Integration -- 82 Laurentreihen -- 83 Der Residuenkalkül -- 84 Konforme Abbildungen -- 85 Harmonische Funktionen und das Dirichlet'sche Randwertproblem -- 86 Partielle Differentialgleichungen 1. Ordnung -- 87 Partielle Differentialgleichungen 2. Ordnung – Allgemeines -- 88 Die Laplace- bzw. Poissongleichung -- 89 Die Wärmeleitungsgleichung -- 90 Die Wellengleichung -- 91 Lösen von pDGLen mit Fourier- und Laplacetransformation -- Index. |
| Record Nr. | UNINA-9910483575703321 |
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Karpfinger Christian
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Infinite matrices and their recent applications [[electronic resource] /] / by P.N. Shivakumar, K.C. Sivakumar, Yang Zhang
| Infinite matrices and their recent applications [[electronic resource] /] / by P.N. Shivakumar, K.C. Sivakumar, Yang Zhang |
| Autore | Shivakumar P.N |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (X, 118 p.) |
| Disciplina | 512.5 |
| Soggetto topico |
Matrix theory
Algebra Linear and Multilinear Algebras, Matrix Theory |
| ISBN | 3-319-30180-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Finite Matrices and their Nonsingularity -- Infinite Linear Equations -- Generalized Inverses: Real or Complex Field -- Generalized Inverses: Quaternions -- M-matrices over Infinite Dimensional Spaces -- Infinite Linear Programming -- Applications. . |
| Record Nr. | UNINA-9910254097503321 |
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Shivakumar P.N
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann
| Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann |
| Autore | Böttcher Albrecht |
| Edizione | [1st ed. 1999.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 |
| Descrizione fisica | 1 online resource (XI, 259 p.) |
| Disciplina | 514 |
| Collana | Universitext |
| Soggetto topico |
Topology
Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Linear and Multilinear Algebras, Matrix Theory Analysis |
| ISBN | 1-4612-1426-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Infinite Matrices -- 1.1 Boundedness and Invertibility -- 1.2 Laurent Matrices -- 1.3 Toeplitz Matrices -- 1.4 Hankel Matrices -- 1.5 Wiener-Hopf Factorization -- 1.6 Continuous Symbols -- 1.7 Locally Sectorial Symbols -- 1.8 Discontinuous Symbols -- 2 Finite Section Method and Stability -- 2.1 Approximation Methods -- 2.2 Continuous Symbols -- 2.3 Asymptotic Inverses -- 2.4 The Gohberg-Feldman Approach -- 2.5 Algebraization of Stability -- 2.6 Local Principles -- 2.7 Localization of Stability -- 3 Norms of Inverses and Pseudospectra -- 3.1C*-Algebras -- 3.2 Continuous Symbols -- 3.3 Piecewise Continuous Symbols -- 3.4 Norm of the Resolvent -- 3.5 Limits of Pseudospectra -- 3.6 Pseudospectra of Infinite Toeplitz Matrices -- 4 Moore-Penrose Inverses and Singular Values -- 4.1 Singular Values of Matrices -- 4.2 The Lowest Singular Value -- 4.3 The Splitting Phenomenon -- 4.4 Upper Singular Values -- 4.5 Moler’s Phenomenon -- 4.6 Limiting Sets of Singular Values -- 4.7 The Moore-Penrose Inverse -- 4.8 Asymptotic Moore-Penrose Inversion -- 4.9 Moore-Penrose Sequences -- 4.10 Exact Moore-Penrose Sequences -- 4.11 Regularization and Kato Numbers -- 5 Determinants and Eigenvalues -- 5.1 The Strong Szegö Limit Theorem -- 5.2 Ising Model and Onsager Formula -- 5.3 Second-Order Trace Formulas -- 5.4 The First Szegö Limit Theorem -- 5.5 Hermitian Toeplitz Matrices -- 5.6 The Avram-Parter Theorem -- 5.7 The Algebraic Approach to Trace Formulas -- 5.8 Toeplitz Band Matrices -- 5.9 Rational Symbols -- 5.10 Continuous Symbols -- 5.11 Fisher-Hartwig Determinants -- 5.12 Piecewise Continuous Symbols -- 6 Block Toeplitz Matrices -- 6.1 Infinite Matrices -- 6.2 Finite Section Method and Stability -- 6.3 Norms of Inverses and Pseudospectra -- 6.4 Distribution of Singular Values -- 6.5 Asymptotic Moore-Penrose Inversion -- 6.6 Trace Formulas -- 6.7 The Szegö-Widom Limit Theorem -- 6.8 Rational Matrix Symbols -- 6.9 Multilevel Toeplitz Matrices -- 7 Banach Space Phenomena -- 7.1 Boundedness -- 7.2 Fredholmness and Invertibility -- 7.3 Continuous Symbols -- 7.4 Piecewise Continuous Symbols -- 7.5 Loss of Symmetry -- References -- Symbol Index. |
| Record Nr. | UNINA-9910480322303321 |
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Böttcher Albrecht
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann
| Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann |
| Autore | Böttcher Albrecht |
| Edizione | [1st ed. 1999.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 |
| Descrizione fisica | 1 online resource (XI, 259 p.) |
| Disciplina | 514 |
| Collana | Universitext |
| Soggetto topico |
Topology
Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Linear and Multilinear Algebras, Matrix Theory Analysis |
| ISBN | 1-4612-1426-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Infinite Matrices -- 1.1 Boundedness and Invertibility -- 1.2 Laurent Matrices -- 1.3 Toeplitz Matrices -- 1.4 Hankel Matrices -- 1.5 Wiener-Hopf Factorization -- 1.6 Continuous Symbols -- 1.7 Locally Sectorial Symbols -- 1.8 Discontinuous Symbols -- 2 Finite Section Method and Stability -- 2.1 Approximation Methods -- 2.2 Continuous Symbols -- 2.3 Asymptotic Inverses -- 2.4 The Gohberg-Feldman Approach -- 2.5 Algebraization of Stability -- 2.6 Local Principles -- 2.7 Localization of Stability -- 3 Norms of Inverses and Pseudospectra -- 3.1C*-Algebras -- 3.2 Continuous Symbols -- 3.3 Piecewise Continuous Symbols -- 3.4 Norm of the Resolvent -- 3.5 Limits of Pseudospectra -- 3.6 Pseudospectra of Infinite Toeplitz Matrices -- 4 Moore-Penrose Inverses and Singular Values -- 4.1 Singular Values of Matrices -- 4.2 The Lowest Singular Value -- 4.3 The Splitting Phenomenon -- 4.4 Upper Singular Values -- 4.5 Moler’s Phenomenon -- 4.6 Limiting Sets of Singular Values -- 4.7 The Moore-Penrose Inverse -- 4.8 Asymptotic Moore-Penrose Inversion -- 4.9 Moore-Penrose Sequences -- 4.10 Exact Moore-Penrose Sequences -- 4.11 Regularization and Kato Numbers -- 5 Determinants and Eigenvalues -- 5.1 The Strong Szegö Limit Theorem -- 5.2 Ising Model and Onsager Formula -- 5.3 Second-Order Trace Formulas -- 5.4 The First Szegö Limit Theorem -- 5.5 Hermitian Toeplitz Matrices -- 5.6 The Avram-Parter Theorem -- 5.7 The Algebraic Approach to Trace Formulas -- 5.8 Toeplitz Band Matrices -- 5.9 Rational Symbols -- 5.10 Continuous Symbols -- 5.11 Fisher-Hartwig Determinants -- 5.12 Piecewise Continuous Symbols -- 6 Block Toeplitz Matrices -- 6.1 Infinite Matrices -- 6.2 Finite Section Method and Stability -- 6.3 Norms of Inverses and Pseudospectra -- 6.4 Distribution of Singular Values -- 6.5 Asymptotic Moore-Penrose Inversion -- 6.6 Trace Formulas -- 6.7 The Szegö-Widom Limit Theorem -- 6.8 Rational Matrix Symbols -- 6.9 Multilevel Toeplitz Matrices -- 7 Banach Space Phenomena -- 7.1 Boundedness -- 7.2 Fredholmness and Invertibility -- 7.3 Continuous Symbols -- 7.4 Piecewise Continuous Symbols -- 7.5 Loss of Symmetry -- References -- Symbol Index. |
| Record Nr. | UNINA-9910789218803321 |
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Böttcher Albrecht
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Matrix theory
(207)
- Algebra (173)
- Linear and Multilinear Algebras, Matrix Theory (169)
- Numerical analysis (26)
- Operator theory (25)