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Advanced linear and matrix algebra / / Nathaniel Johnston
| Advanced linear and matrix algebra / / Nathaniel Johnston |
| Autore | Johnston Nathaniel |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XVI, 494 p. 123 illus., 108 illus. in color.) |
| Disciplina | 512.5 |
| Soggetto topico |
Algebras, Linear
Matrices Àlgebra lineal Matrius (Matemàtica) Algebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-52815-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Vector Spaces -- Chapter 2: Matrix Decompositions -- Chapter 3: Tensors and Multilinearity -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercise Solutions. |
| Record Nr. | UNISA-996466403803316 |
Johnston Nathaniel
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Advanced linear and matrix algebra / / Nathaniel Johnston
| Advanced linear and matrix algebra / / Nathaniel Johnston |
| Autore | Johnston Nathaniel |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XVI, 494 p. 123 illus., 108 illus. in color.) |
| Disciplina | 512.5 |
| Soggetto topico |
Algebras, Linear
Matrices Àlgebra lineal Matrius (Matemàtica) Algebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-52815-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Vector Spaces -- Chapter 2: Matrix Decompositions -- Chapter 3: Tensors and Multilinearity -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercise Solutions. |
| Record Nr. | UNINA-9910483059803321 |
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Johnston Nathaniel
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Advances in matrix inequalities / / Mohammad Bagher Ghaemi [and three others]
| Advances in matrix inequalities / / Mohammad Bagher Ghaemi [and three others] |
| Autore | Ghaemi Mohammad Bagher |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (287 pages) |
| Disciplina | 512.9434 |
| Collana | Springer Optimization and Its Applications |
| Soggetto topico |
Matrix inequalities
Matrius (Matemàtica) Desigualtats matricials Operator theory |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-76047-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Acronyms -- 1 Elementary Linear Algebra Review -- 1.1 Operators and Matrices in Hilbert Space -- 2 Interpolating the Arithmetic-Geometric Mean Inequality and Its Operator Version -- 2.1 Refinements of the Scalar Young and Heinz Inequalities -- 2.2 Operator Inequalities Involving Improved Young Inequality -- 2.3 Advanced Refinements of the Scalar Reverse Young Inequalities -- 2.4 Improvements of the Operator Reverse Young Inequality -- 3 Operator Inequalities for Positive Linear Maps -- 3.1 On an Operator Kantorovich Inequality for Positive Linear Maps -- 3.2 A Schwarz Inequality for Positive Linear Maps -- 3.3 Squaring the Reverse Arithmetic-Geometric Mean Inequality -- 3.4 Reverses of Ando's Inequality for Positive Linear Maps -- 3.5 Squaring the Reverse Ando's Operator Inequality -- 4 Operator Inequalities Involving Operator Monotone Functions -- 4.1 Young Inequalities Involving Operator Monotone Functions -- 4.2 Eigenvalue Inequalities Involving Operator Concave Functions -- 4.3 Operator Aczél Inequality Involving Operator Monotone Functions -- 4.4 Norm Inequalities Involving Operator Monotone Functions -- 5 Inequalities for Sector Matrices -- 5.1 Haynsworth and Hartfiel Type Determinantal Inequality -- 5.2 Inequalities with Determinants of Perturbed Positive Matrices -- 5.3 Analogue of Fischer's Inequality for Sector Matrices -- 5.4 Analogues of Hadamard and Minkowski Inequality for Sector Matrices -- 5.5 Generalizations of the Brunn Minkowski Inequality -- 5.6 A Lewent Type Determinantal Inequality -- 5.7 Principal Powers of Matrices with Positive Definite Real Part -- 5.8 Geometric Mean of Accretive Operators -- 5.9 Weighted Geometric Mean of Accretive Operators and Its Applications -- 5.10 Ficher Type Determinantal Inequalities for Accretive-Dissipative Matrices.
5.11 Extensions of Fischer's Inequality for Sector Matrices -- 5.12 Singular Value Inequalities of Sector Matrices -- 5.13 Extension of Rotfel'd Inequality for Sector Matrices -- 5.14 A Further Extension of Rotfel'd Inequality for Accretive-Dissipative Matrices -- 5.15 Hilbert-Schmidt Norm Inequalities for Accretive-Dissipative Operators -- 5.16 Schatten p-Norm Inequalities for Accretive-Dissipative Matrices -- 5.17 Schatten p-Norm Inequalities for Sector Matrices -- 5.18 Schatten p-Norms and Determinantal Inequalities Involving Partial Traces -- 5.19 Ando-Choi Type Inequalities for Sector Matrices -- 5.20 Geometric Mean Inequality for Sector Matrices -- 5.21 Weighted Geometric Mean Inequality for Sector Matrices -- 6 Positive Partial Transpose Matrix Inequalities -- 6.1 Singular Value Inequalities Related to PPT Matrices -- 6.2 Matrix Inequalities and Completely PPT Maps -- 6.3 Hiroshima's Type Inequalities for Positive Semidefinite Block Matrices -- 6.4 Geometric Mean and Norm Schwarz Inequality -- 6.5 Inequalities Involving the Off-Diagonal Block of a PPT Matrix -- 6.6 Unitarily Invariant Norm Inequalities of PPT Matrices -- 6.7 On Symmetric Norm Inequalities for Positive Block Matrices -- 6.8 Matrix Norm Inequalities and Majorization Relation for Singular Values -- Appendix References -- -- Index. |
| Record Nr. | UNISA-996466397803316 |
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Ghaemi Mohammad Bagher
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Advances in matrix inequalities / / Mohammad Bagher Ghaemi [and three others]
| Advances in matrix inequalities / / Mohammad Bagher Ghaemi [and three others] |
| Autore | Ghaemi Mohammad Bagher |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (287 pages) |
| Disciplina | 512.9434 |
| Collana | Springer Optimization and Its Applications |
| Soggetto topico |
Matrix inequalities
Matrius (Matemàtica) Desigualtats matricials Operator theory |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-76047-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Acronyms -- 1 Elementary Linear Algebra Review -- 1.1 Operators and Matrices in Hilbert Space -- 2 Interpolating the Arithmetic-Geometric Mean Inequality and Its Operator Version -- 2.1 Refinements of the Scalar Young and Heinz Inequalities -- 2.2 Operator Inequalities Involving Improved Young Inequality -- 2.3 Advanced Refinements of the Scalar Reverse Young Inequalities -- 2.4 Improvements of the Operator Reverse Young Inequality -- 3 Operator Inequalities for Positive Linear Maps -- 3.1 On an Operator Kantorovich Inequality for Positive Linear Maps -- 3.2 A Schwarz Inequality for Positive Linear Maps -- 3.3 Squaring the Reverse Arithmetic-Geometric Mean Inequality -- 3.4 Reverses of Ando's Inequality for Positive Linear Maps -- 3.5 Squaring the Reverse Ando's Operator Inequality -- 4 Operator Inequalities Involving Operator Monotone Functions -- 4.1 Young Inequalities Involving Operator Monotone Functions -- 4.2 Eigenvalue Inequalities Involving Operator Concave Functions -- 4.3 Operator Aczél Inequality Involving Operator Monotone Functions -- 4.4 Norm Inequalities Involving Operator Monotone Functions -- 5 Inequalities for Sector Matrices -- 5.1 Haynsworth and Hartfiel Type Determinantal Inequality -- 5.2 Inequalities with Determinants of Perturbed Positive Matrices -- 5.3 Analogue of Fischer's Inequality for Sector Matrices -- 5.4 Analogues of Hadamard and Minkowski Inequality for Sector Matrices -- 5.5 Generalizations of the Brunn Minkowski Inequality -- 5.6 A Lewent Type Determinantal Inequality -- 5.7 Principal Powers of Matrices with Positive Definite Real Part -- 5.8 Geometric Mean of Accretive Operators -- 5.9 Weighted Geometric Mean of Accretive Operators and Its Applications -- 5.10 Ficher Type Determinantal Inequalities for Accretive-Dissipative Matrices.
5.11 Extensions of Fischer's Inequality for Sector Matrices -- 5.12 Singular Value Inequalities of Sector Matrices -- 5.13 Extension of Rotfel'd Inequality for Sector Matrices -- 5.14 A Further Extension of Rotfel'd Inequality for Accretive-Dissipative Matrices -- 5.15 Hilbert-Schmidt Norm Inequalities for Accretive-Dissipative Operators -- 5.16 Schatten p-Norm Inequalities for Accretive-Dissipative Matrices -- 5.17 Schatten p-Norm Inequalities for Sector Matrices -- 5.18 Schatten p-Norms and Determinantal Inequalities Involving Partial Traces -- 5.19 Ando-Choi Type Inequalities for Sector Matrices -- 5.20 Geometric Mean Inequality for Sector Matrices -- 5.21 Weighted Geometric Mean Inequality for Sector Matrices -- 6 Positive Partial Transpose Matrix Inequalities -- 6.1 Singular Value Inequalities Related to PPT Matrices -- 6.2 Matrix Inequalities and Completely PPT Maps -- 6.3 Hiroshima's Type Inequalities for Positive Semidefinite Block Matrices -- 6.4 Geometric Mean and Norm Schwarz Inequality -- 6.5 Inequalities Involving the Off-Diagonal Block of a PPT Matrix -- 6.6 Unitarily Invariant Norm Inequalities of PPT Matrices -- 6.7 On Symmetric Norm Inequalities for Positive Block Matrices -- 6.8 Matrix Norm Inequalities and Majorization Relation for Singular Values -- Appendix References -- -- Index. |
| Record Nr. | UNINA-9910492145903321 |
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Ghaemi Mohammad Bagher
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to linear and matrix algebra [[electronic resource] /] / Nathaniel Johnston
| Introduction to linear and matrix algebra [[electronic resource] /] / Nathaniel Johnston |
| Autore | Johnston Nathaniel |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XVI, 482 p. 324 illus., 286 illus. in color.) |
| Disciplina | 512.5 |
| Soggetto topico |
Algebra
Algebras, Linear Matrix theory Àlgebra lineal Matrius (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030528119
3-030-52811-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Vectors and Geometry -- Chapter 2: Linear systems and Subspaces -- Chapter 3: Unraveling Matrices -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercises Solutions. |
| Record Nr. | UNINA-9910483064203321 |
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Johnston Nathaniel
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||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to linear and matrix algebra [[electronic resource] /] / Nathaniel Johnston
| Introduction to linear and matrix algebra [[electronic resource] /] / Nathaniel Johnston |
| Autore | Johnston Nathaniel |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XVI, 482 p. 324 illus., 286 illus. in color.) |
| Disciplina | 512.5 |
| Soggetto topico |
Algebra
Algebras, Linear Matrix theory Àlgebra lineal Matrius (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030528119
3-030-52811-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Vectors and Geometry -- Chapter 2: Linear systems and Subspaces -- Chapter 3: Unraveling Matrices -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercises Solutions. |
| Record Nr. | UNISA-996466404103316 |
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Johnston Nathaniel
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Introduction to matrix theory / / Arindama Singh
| Introduction to matrix theory / / Arindama Singh |
| Autore | Singh Arindama |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (IX, 194 p. 2 illus., 1 illus. in color.) |
| Disciplina | 512.9434 |
| Soggetto topico |
Matrices
Matrius (Matemàtica) Àlgebra lineal Matemàtica per a enginyers Física matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80481-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Matrix Operations -- Systems of Linear Equations -- Matrix as a Linear Map -- Orthogonality -- Eigenvalues and Eigenvectors -- Canonical Forms -- Norms of Matrices -- Short Bibliography -- Index. |
| Record Nr. | UNINA-9910495350603321 |
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Singh Arindama
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to matrix theory / / Arindama Singh
| Introduction to matrix theory / / Arindama Singh |
| Autore | Singh Arindama |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (IX, 194 p. 2 illus., 1 illus. in color.) |
| Disciplina | 512.9434 |
| Soggetto topico |
Matrices
Matrius (Matemàtica) Àlgebra lineal Matemàtica per a enginyers Física matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80481-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Matrix Operations -- Systems of Linear Equations -- Matrix as a Linear Map -- Orthogonality -- Eigenvalues and Eigenvectors -- Canonical Forms -- Norms of Matrices -- Short Bibliography -- Index. |
| Record Nr. | UNISA-996466402503316 |
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Singh Arindama
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Jacobi Matrices and the Moment Problem
| Jacobi Matrices and the Moment Problem |
| Autore | Berezansky Yurij M |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing AG, , 2024 |
| Descrizione fisica | 1 online resource (489 pages) |
| Altri autori (Persone) | DudkinMykola E |
| Collana | Operator Theory: Advances and Applications Series |
| Soggetto topico | Matrius (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-46387-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction -- 2 Some Aspects of the Spectral Theory of Unbounded Operators -- 2.1 Preliminary Information About Unbounded Operators -- 2.2 Extensions of Hermitian Operators to Self-AdJoint Operators -- 2.3 The Spectral Decomposition of Bounded Operators -- 2.4 The Spectral Decomposition of Unbounded Operators -- 2.5 Representations of One-Parameter Unitary Groups -- 2.6 Self-Adjointness Criteria -- 2.7 Rigged Spaces -- 2.8 Tensor Products -- 2.9 Representations of Continuous Multi-Linear Forms -- 2.10 Semi-Bounded Bilinear Forms -- 2.11 The Generalized Eigenvectors Expansion -- 2.12 A General Case with a Quasi-Scalar Product -- Bibliographical Notes -- 3 Jacobi Matrices and the Classical Moment Problem -- 3.1 Difference Operators, Jacobi Matrices, and Self-Adjointness Conditions -- 3.2 The Generalized Eigenvectors Expansion and the Fourier Transform Corresponding to Jacobi Matrices -- 3.3 The Inverse Problem -- 3.4 Further Spectral Analysis of the Difference Operator -- 3.5 The Classical Moment Problem -- 3.6 Some Other Generalizations of the Moment Problem -- 3.7 Connections with the Theory of Jacobi Matrices -- Bibliographical Notes -- 4 The Strong Moment Problem -- 4.1 Preliminaries to the Strong Moment Problem -- 4.2 The Solution of the Strong Moment Problem -- 4.3 The Orthogonalization Procedure and the Construction of a Tri-Diagonal Block Matrix -- 4.4 Direct and Inverse Spectral Problems Corresponding to Tri-Diagonal Block Jacobi-Laurent Matrices Generating Self-Adjoint Operators -- 4.5 Considerations of Hermitian Block Jacobi-Laurent Type Matrices -- 4.6 The Connection Between the Strong Moment Problem and the Spectral Theory of Jacobi-Laurent Matrices -- 4.7 Two Addition Facts -- 4.8 The Inner Structure of the Jacobi-Laurent Matrix -- Bibliographical Notes.
5 Block Jacobi Type Matrices in the Complex Moment Problem -- 5.1 Construction of the Tri-Diagonal Block Jacobi Type Matrix of a Bounded Normal Operator -- 5.2 Direct and Inverse Spectral Problems for the Tri-Diagonal Block Jacobi Type Matrices of Bounded Normal Operators -- 5.3 Normality Conditions of Block Jacobi Type Matrices -- 5.4 The Solution of the Complex Moment Problem -- 5.5 The Weyl Function and Polynomials of the Second Kind in the Complex Moment Problem -- Bibliographical Notes -- 6 Unitary Block Jacobi Type Matrices and the Trigonometric Moment Problem -- 6.1 Introduction to the Unitary Block Jacobi Type Matrices -- 6.2 Construction of the Tri-Diagonal Block Jacobi Type Matrices of a Unitary Operator -- 6.3 Direct and Inverse Spectral Problems for the Tri-Diagonal Block Jacobi Type Matrices of Unitary Operators -- 6.4 The Detailed Internal Structure of the Block Matrix of the Unitary Operator -- 6.5 The Solution of the Trigonometric Moment Problem -- Bibliographical Notes -- 7 Block Jacobi Type Matrices and the Complex Moment Problem in the Exponential Form -- 7.1 Construction of the Tri-Diagonal Block Matrix Corresponding to the Complex Moment Problem in the Exponential Form -- 7.2 Direct and Inverse Spectral Problems for Tri-Diagonal Block Jacobi Type Matrices Corresponding to the Complex Moment Problem in the Exponential Form -- 7.3 Conditions of Unitarity and Commutativity of Matrices Corresponding to the Complex Moment Problem in the Exponential Form -- 7.4 The Solution of the Complex Moment Problem in the Exponential Form -- Bibliographical Notes -- 8 Block Jacobi Type Matrices and the Two Dimensional Real Moment Problem -- 8.1 Construction of the Tri-Diagonal Block Jacobi Type Matrices Corresponding to the Two Dimensional Real Moment Problem. 8.2 Direct and Inverse Spectral Problems for the Tri-Diagonal Block Jacobi Type Matrices Corresponding to the Two-Dimensional Real Moment Problem -- 8.3 An Analogue of the Weyl Function Corresponding to the Two-Dimensional Real Moment Problem -- 8.4 The Solution of the Two-Dimensional Real Moment Problem -- 8.5 Examples of Matrices Corresponding to the Two-Dimensional Real Moment Problem -- Bibliographical Notes -- 9 Applications of the Spectral Theory of Jacobi Matrices and Their Generalizations to the Integration of Nonlinear Equations -- 9.1 The Integration of the Toda Chain on the Semi-axis Using the Spectral Theory of Jacobi Matrices -- 9.2 The Doubly Infinite Toda Chain and Its Equivalent Lax Equation for Block Jacobi Type Matrices -- 9.3 The Spectral Theory of Corresponding to Toda Chains Block Jacobi Type Matrices -- 9.4 Equations for the Weyl Function and Spectral Matrices -- 9.5 The Basic Statement and Applications to Hamiltonian Systems -- Bibliographical Notes -- References -- Subject Index -- Notation Index. |
| Record Nr. | UNINA-9910767547303321 |
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Berezansky Yurij M
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| Cham : , : Springer International Publishing AG, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Locating eigenvalues in graphs : algorithms and applications / / Carlos Hoppen, David P. Jacobs, and Vilmar Trevisan
| Locating eigenvalues in graphs : algorithms and applications / / Carlos Hoppen, David P. Jacobs, and Vilmar Trevisan |
| Autore | Hoppen Carlos |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (142 pages) |
| Disciplina | 511.5 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Graph theory
Teoria de grafs Matrius (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-11698-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Acknowledgments -- Contents -- 1 Introduction -- References -- 2 Preliminaries -- 2.1 Graph Theory Review -- 2.2 Linear Algebra Review -- 2.3 Eigenvalues and Eigenvectors -- 2.4 Elementary Matrices and Operations -- 2.5 Spectral Graph Theory -- 2.6 Sylvester's Law of Inertia -- 2.7 Analysis of Algorithms -- 2.8 Rooted Trees -- References -- 3 Locating Eigenvalues in Trees -- 3.1 Adjacency Matrix -- 3.2 Symmetric Matrices with Underlying Tree -- 3.3 Laplacian Matrix and Applications -- References -- 4 Graph Classes and Graph Decompositions -- 4.1 Hereditary Graph Classes -- 4.2 Cographs -- 4.3 Tree Decomposition -- 4.4 Nice Tree Decomposition -- 4.5 Clique Decomposition -- 4.6 Slick Clique Decomposition -- References -- 5 Locating Eigenvalues in Cographs -- 5.1 Diagonalizing a Row and Column -- 5.2 Diagonalizing A + xI -- 5.3 Applications: Inertia and Spectral Characterization of Cographs -- References -- 6 Locating Eigenvalues Using Tree Decomposition -- 6.1 Gaussian Elimination and Tree Decompositions -- 6.2 Diagonalization Algorithm -- 6.3 Example -- References -- 7 Locating Eigenvalues Using Slick Clique Decomposition -- 7.1 Clique-Width and Diagonalization -- 7.2 The Algorithm -- 7.3 Example -- 7.4 Correctness, Complexity, and Implementation -- References -- 8 Distance-Hereditary Graphs -- 8.1 Distance-Hereditary Graphs -- 8.2 Locating Eigenvalues in Distance-Hereditary Graphs -- 8.3 The Graphs Having scw ≤2 -- References -- Index. |
| Record Nr. | UNINA-9910595054103321 |
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Hoppen Carlos
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Matrius (Matemàtica)
(13)
- Àlgebra lineal (6)
- Algebra (5)
- Algebras, Linear (4)
- Matrices (4)