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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
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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 |
|
Johnston Nathaniel
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Ghaemi Mohammad Bagher
|
||
| 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 |
|
Ghaemi Mohammad Bagher
|
||
| 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. | UNINA-9910483064203321 |
|
Johnston Nathaniel
|
||
| 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 |
|
Johnston Nathaniel
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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 |
|
Singh Arindama
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||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Singh Arindama
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||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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 |
|
Hoppen Carlos
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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. | UNISA-996490343703316 |
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Hoppen Carlos
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Soggetto topico
-
Matrius (Matemàtica)
(11)
- Àlgebra lineal (6)
- Algebra (5)
- Algebras, Linear (4)
- Matrices (4)