Introduction to Matrix Analysis and Applications / / by Fumio Hiai, Dénes Petz |
Autore | Hiai Fumio |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (337 p.) |
Disciplina | 512.9434 |
Collana | Universitext |
Soggetto topico |
Matrix theory
Algebra Linear and Multilinear Algebras, Matrix Theory |
ISBN | 3-319-04150-9 |
Classificazione |
510
SK 220 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Fundamentals of operators and matrices -- Mappings and algebras -- Functional calculus and derivation -- Matrix monotone functions and convexity -- Matrix means and inequalities -- Majorization and singular values -- Some applications. |
Record Nr. | UNINA-9910300143003321 |
Hiai Fumio | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Linear Algebra : A Course for Physicists and Engineers / / Arak M. Mathai, Hans J. Haubold |
Autore | Mathai Arak M. |
Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter, , [2017] |
Descrizione fisica | 1 online resource (467 p.) |
Collana | De Gruyter Textbook |
Soggetto topico |
Eigenvektor
Lineare Algebra Matrix MATHEMATICS / Algebra / General |
Soggetto genere / forma | Electronic books. |
Classificazione | SK 220 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Acknowledgement -- Contents -- List of Symbols -- 1. Vectors -- 2. Matrices -- 3. Determinants -- 4. Eigenvalues and eigenvectors -- 5. Some applications of matrices and determinants -- 6. Matrix series and additional properties of matrices -- References -- Index |
Record Nr. | UNINA-9910258747803321 |
Mathai Arak M. | ||
Berlin ; ; Boston : , : De Gruyter, , [2017] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Linear Algebra : A Course for Physicists and Engineers / / Arak M. Mathai, Hans J. Haubold |
Autore | Mathai Arak M. |
Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter, , [2017] |
Descrizione fisica | 1 online resource (467 p.) |
Disciplina | 512/.5 |
Collana | De Gruyter Textbook |
Soggetto topico |
Eigenvektor
Lineare Algebra Matrix MATHEMATICS / Algebra / General |
Classificazione | SK 220 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Acknowledgement -- Contents -- List of Symbols -- 1. Vectors -- 2. Matrices -- 3. Determinants -- 4. Eigenvalues and eigenvectors -- 5. Some applications of matrices and determinants -- 6. Matrix series and additional properties of matrices -- References -- Index |
Record Nr. | UNISA-996309060503316 |
Mathai Arak M. | ||
Berlin ; ; Boston : , : De Gruyter, , [2017] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Lineare Algebra / / Hans-Joachim Kowalsky |
Autore | Kowalsky Hans-Joachim |
Edizione | [2. Aufl. Reprint 2019] |
Pubbl/distr/stampa | De Gruyter, 1965 |
Descrizione fisica | 1 online resource (342 p.) : Zahlr. Abb |
Disciplina | 512.5 |
Collana | Göschens Lehrbücherei/Gruppe I: Reine und angewandte Mathematik |
Soggetto topico |
Lineare Algebra
MATHEMATICS / General |
ISBN | 3-11-133757-X |
Classificazione | SK 220 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Nota di contenuto | Frontmatter -- Vorwort -- Inhaltsverzeichnis -- Einleitung -- Erstes Kapitel: Grundbegriffe -- Zweites Kapitel: Unterräume, Basis, Koordinaten -- Drittes Kapitel: Abbildungen -- Viertes Kapitel: Lineare Gleichungssysteme, Determinanten -- Fünftes Kapitel: Äquivalenz und Ähnlichkeit von Matrizen -- Sechstes Kapitel: Euklidische und unitäre Vektorräume -- Siebentes Kapitel: Anwendungen in der Geometrie -- Achtes Kapitel: Quotientenräume, direkte Summe und direktes Produkt -- Neuntes Kapitel: Allgemeines Normalformenproblem -- Zehntes Kapitel: Duale Raumpaare und Dualraum -- Elftes Kapitel: Multilineare Algebra -- Lösungen der Aufgaben -- Namen- und Sachverzeichnis -- Backmatter |
Record Nr. | UNISA-996309053403316 |
Kowalsky Hans-Joachim | ||
De Gruyter, 1965 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Lineare Algebra / / Hans-Joachim Kowalsky |
Autore | Kowalsky Hans-Joachim |
Edizione | [2. Aufl. Reprint 2019] |
Pubbl/distr/stampa | De Gruyter, 1965 |
Descrizione fisica | 1 online resource (342 p.) : Zahlr. Abb |
Disciplina | 512.5 |
Collana | Göschens Lehrbücherei/Gruppe I: Reine und angewandte Mathematik |
Soggetto topico |
Lineare Algebra
MATHEMATICS / General |
ISBN | 3-11-133757-X |
Classificazione | SK 220 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Nota di contenuto | Frontmatter -- Vorwort -- Inhaltsverzeichnis -- Einleitung -- Erstes Kapitel: Grundbegriffe -- Zweites Kapitel: Unterräume, Basis, Koordinaten -- Drittes Kapitel: Abbildungen -- Viertes Kapitel: Lineare Gleichungssysteme, Determinanten -- Fünftes Kapitel: Äquivalenz und Ähnlichkeit von Matrizen -- Sechstes Kapitel: Euklidische und unitäre Vektorräume -- Siebentes Kapitel: Anwendungen in der Geometrie -- Achtes Kapitel: Quotientenräume, direkte Summe und direktes Produkt -- Neuntes Kapitel: Allgemeines Normalformenproblem -- Zehntes Kapitel: Duale Raumpaare und Dualraum -- Elftes Kapitel: Multilineare Algebra -- Lösungen der Aufgaben -- Namen- und Sachverzeichnis -- Backmatter |
Record Nr. | UNINA-9910345988303321 |
Kowalsky Hans-Joachim | ||
De Gruyter, 1965 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Numerical linear algebra with applications : using matlab / / by William Ford |
Autore | Ford William H. |
Edizione | [First edition.] |
Pubbl/distr/stampa | London, England : , : Academic Press, , 2015 |
Descrizione fisica | 1 online resource (629 p.) |
Disciplina | 512.5 |
Soggetto topico |
Algebras, Linear - Data processing
Engineering mathematics - Data processing |
Soggetto genere / forma | Problems and exercises. |
ISBN | 0-12-394784-7 |
Classificazione |
ST 601
SK 220 ST 601 M35 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Numerical Linear Algebra with Applications; Copyright; Dedication; Contents; List of Figures; List of Algorithms; Preface; Matrices; Matrix Arithmetic; Matrix Product; The Trace; MATLAB Examples; Linear Transformations; Rotations; Powers of Matrices; Nonsingular Matrices; The Matrix Transpose and Symmetric Matrices; Chapter Summary; Problems; MATLAB Problems; Linear Equations; Introduction to Linear Equations; Solving Square Linear Systems; Gaussian Elimination; Upper-Triangular Form; Systematic Solution of Linear Systems; Computing the Inverse; Homogeneous Systems
Application: A TrussApplication: Electrical Circuit; Chapter Summary; Problems; MATLAB Problems; Subspaces; Introduction; Subspaces of Rn; Linear Independence; Basis of a Subspace; The Rank of a Matrix; Chapter Summary; Problems; MATLAB Problems; Determinants; Developing the Determinant of a 2bold0mu mumu section2 and a 3bold0mu mumu section3 Matrix; Expansion by Minors; Computing a Determinant Using Row Operations; Application: Encryption; Chapter Summary; Problems; MATLAB Problems; Eigenvalues and Eigenvectors; Definitions and Examples; Selected Properties of Eigenvalues and Eigenvectors DiagonalizationPowers of Matrices; Applications; Electric Circuit; Irreducible Matrices; Ranking of Teams Using Eigenvectors; Computing Eigenvalues and Eigenvectors using MATLAB; Chapter Summary; Problems; MATLAB Problems; Orthogonal Vectors and Matrices; Introduction; The Inner Product; Orthogonal Matrices; Symmetric Matrices and Orthogonality; The L2 Inner Product; The Cauchy-Schwarz Inequality; Signal Comparison; Chapter Summary; Problems; MATLAB Problems; Vector and Matrix Norms; Vector Norms; Properties of the 2-Norm; Spherical Coordinates; Matrix Norms; The Frobenius Matrix Norm Induced Matrix NormsSubmultiplicative Matrix Norms; Computing the Matrix 2-Norm; Properties of the Matrix 2-Norm; Chapter Summary; Problems; MATLAB Problems; Floating Point Arithmetic; Integer Representation; Floating-Point Representation; Mapping from Real Numbers to Floating-Point Numbers; Floating-Point Arithmetic; Relative Error; Rounding Error Bounds; Addition; Multiplication; Matrix Operations; Minimizing Errors; Avoid Adding a Huge Number to a Small Number; Avoid Subtracting Numbers That Are Close; Chapter Summary; Problems; MATLAB Problems; Algorithms; Pseudocode Examples Inner Product of Two VectorsComputing the Frobenius Norm; Matrix Multiplication; Block Matrices; Algorithm Efficiency; Smaller Flop Count Is Not Always Better; Measuring Truncation Error; The Solution to Upper and Lower Triangular Systems; Efficiency Analysis; The Thomas Algorithm; Efficiency Analysis; Chapter Summary; Problems; MATLAB Problems; Conditioning of Problems and Stability of Algorithms; Why Do We Need Numerical Linear Algebra?; Computation Error; Forward Error; Backward Error; Algorithm Stability; Examples of Unstable Algorithms; Conditioning of a Problem Perturbation Analysis for Solving a Linear System |
Record Nr. | UNISA-996426340803316 |
Ford William H. | ||
London, England : , : Academic Press, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Numerical linear algebra with applications : using matlab / / by William Ford |
Autore | Ford William H. |
Edizione | [First edition.] |
Pubbl/distr/stampa | London, England : , : Academic Press, , 2015 |
Descrizione fisica | 1 online resource (629 p.) |
Disciplina | 512.5 |
Soggetto topico |
Algebras, Linear - Data processing
Engineering mathematics - Data processing |
Soggetto genere / forma | Problems and exercises. |
ISBN | 0-12-394784-7 |
Classificazione |
ST 601
SK 220 ST 601 M35 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Numerical Linear Algebra with Applications; Copyright; Dedication; Contents; List of Figures; List of Algorithms; Preface; Matrices; Matrix Arithmetic; Matrix Product; The Trace; MATLAB Examples; Linear Transformations; Rotations; Powers of Matrices; Nonsingular Matrices; The Matrix Transpose and Symmetric Matrices; Chapter Summary; Problems; MATLAB Problems; Linear Equations; Introduction to Linear Equations; Solving Square Linear Systems; Gaussian Elimination; Upper-Triangular Form; Systematic Solution of Linear Systems; Computing the Inverse; Homogeneous Systems
Application: A TrussApplication: Electrical Circuit; Chapter Summary; Problems; MATLAB Problems; Subspaces; Introduction; Subspaces of Rn; Linear Independence; Basis of a Subspace; The Rank of a Matrix; Chapter Summary; Problems; MATLAB Problems; Determinants; Developing the Determinant of a 2bold0mu mumu section2 and a 3bold0mu mumu section3 Matrix; Expansion by Minors; Computing a Determinant Using Row Operations; Application: Encryption; Chapter Summary; Problems; MATLAB Problems; Eigenvalues and Eigenvectors; Definitions and Examples; Selected Properties of Eigenvalues and Eigenvectors DiagonalizationPowers of Matrices; Applications; Electric Circuit; Irreducible Matrices; Ranking of Teams Using Eigenvectors; Computing Eigenvalues and Eigenvectors using MATLAB; Chapter Summary; Problems; MATLAB Problems; Orthogonal Vectors and Matrices; Introduction; The Inner Product; Orthogonal Matrices; Symmetric Matrices and Orthogonality; The L2 Inner Product; The Cauchy-Schwarz Inequality; Signal Comparison; Chapter Summary; Problems; MATLAB Problems; Vector and Matrix Norms; Vector Norms; Properties of the 2-Norm; Spherical Coordinates; Matrix Norms; The Frobenius Matrix Norm Induced Matrix NormsSubmultiplicative Matrix Norms; Computing the Matrix 2-Norm; Properties of the Matrix 2-Norm; Chapter Summary; Problems; MATLAB Problems; Floating Point Arithmetic; Integer Representation; Floating-Point Representation; Mapping from Real Numbers to Floating-Point Numbers; Floating-Point Arithmetic; Relative Error; Rounding Error Bounds; Addition; Multiplication; Matrix Operations; Minimizing Errors; Avoid Adding a Huge Number to a Small Number; Avoid Subtracting Numbers That Are Close; Chapter Summary; Problems; MATLAB Problems; Algorithms; Pseudocode Examples Inner Product of Two VectorsComputing the Frobenius Norm; Matrix Multiplication; Block Matrices; Algorithm Efficiency; Smaller Flop Count Is Not Always Better; Measuring Truncation Error; The Solution to Upper and Lower Triangular Systems; Efficiency Analysis; The Thomas Algorithm; Efficiency Analysis; Chapter Summary; Problems; MATLAB Problems; Conditioning of Problems and Stability of Algorithms; Why Do We Need Numerical Linear Algebra?; Computation Error; Forward Error; Backward Error; Algorithm Stability; Examples of Unstable Algorithms; Conditioning of a Problem Perturbation Analysis for Solving a Linear System |
Record Nr. | UNINA-9910787065203321 |
Ford William H. | ||
London, England : , : Academic Press, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Numerical linear algebra with applications : using matlab / / by William Ford |
Autore | Ford William H. |
Edizione | [First edition.] |
Pubbl/distr/stampa | London, England : , : Academic Press, , 2015 |
Descrizione fisica | 1 online resource (629 p.) |
Disciplina | 512.5 |
Soggetto topico |
Algebras, Linear - Data processing
Engineering mathematics - Data processing |
Soggetto genere / forma | Problems and exercises. |
ISBN | 0-12-394784-7 |
Classificazione |
ST 601
SK 220 ST 601 M35 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Numerical Linear Algebra with Applications; Copyright; Dedication; Contents; List of Figures; List of Algorithms; Preface; Matrices; Matrix Arithmetic; Matrix Product; The Trace; MATLAB Examples; Linear Transformations; Rotations; Powers of Matrices; Nonsingular Matrices; The Matrix Transpose and Symmetric Matrices; Chapter Summary; Problems; MATLAB Problems; Linear Equations; Introduction to Linear Equations; Solving Square Linear Systems; Gaussian Elimination; Upper-Triangular Form; Systematic Solution of Linear Systems; Computing the Inverse; Homogeneous Systems
Application: A TrussApplication: Electrical Circuit; Chapter Summary; Problems; MATLAB Problems; Subspaces; Introduction; Subspaces of Rn; Linear Independence; Basis of a Subspace; The Rank of a Matrix; Chapter Summary; Problems; MATLAB Problems; Determinants; Developing the Determinant of a 2bold0mu mumu section2 and a 3bold0mu mumu section3 Matrix; Expansion by Minors; Computing a Determinant Using Row Operations; Application: Encryption; Chapter Summary; Problems; MATLAB Problems; Eigenvalues and Eigenvectors; Definitions and Examples; Selected Properties of Eigenvalues and Eigenvectors DiagonalizationPowers of Matrices; Applications; Electric Circuit; Irreducible Matrices; Ranking of Teams Using Eigenvectors; Computing Eigenvalues and Eigenvectors using MATLAB; Chapter Summary; Problems; MATLAB Problems; Orthogonal Vectors and Matrices; Introduction; The Inner Product; Orthogonal Matrices; Symmetric Matrices and Orthogonality; The L2 Inner Product; The Cauchy-Schwarz Inequality; Signal Comparison; Chapter Summary; Problems; MATLAB Problems; Vector and Matrix Norms; Vector Norms; Properties of the 2-Norm; Spherical Coordinates; Matrix Norms; The Frobenius Matrix Norm Induced Matrix NormsSubmultiplicative Matrix Norms; Computing the Matrix 2-Norm; Properties of the Matrix 2-Norm; Chapter Summary; Problems; MATLAB Problems; Floating Point Arithmetic; Integer Representation; Floating-Point Representation; Mapping from Real Numbers to Floating-Point Numbers; Floating-Point Arithmetic; Relative Error; Rounding Error Bounds; Addition; Multiplication; Matrix Operations; Minimizing Errors; Avoid Adding a Huge Number to a Small Number; Avoid Subtracting Numbers That Are Close; Chapter Summary; Problems; MATLAB Problems; Algorithms; Pseudocode Examples Inner Product of Two VectorsComputing the Frobenius Norm; Matrix Multiplication; Block Matrices; Algorithm Efficiency; Smaller Flop Count Is Not Always Better; Measuring Truncation Error; The Solution to Upper and Lower Triangular Systems; Efficiency Analysis; The Thomas Algorithm; Efficiency Analysis; Chapter Summary; Problems; MATLAB Problems; Conditioning of Problems and Stability of Algorithms; Why Do We Need Numerical Linear Algebra?; Computation Error; Forward Error; Backward Error; Algorithm Stability; Examples of Unstable Algorithms; Conditioning of a Problem Perturbation Analysis for Solving a Linear System |
Record Nr. | UNINA-9910824926903321 |
Ford William H. | ||
London, England : , : Academic Press, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Positive definite matrices [[electronic resource] /] / Rajendra Bhatia |
Autore | Bhatia Rajendra <1952-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2007 |
Descrizione fisica | 1 online resource (265 p.) |
Disciplina | 512.9/434 |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-12974-0
9786612129742 1-4008-2778-7 |
Classificazione | SK 220 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
Record Nr. | UNINA-9910454726503321 |
Bhatia Rajendra <1952-> | ||
Princeton, N.J., : Princeton University Press, c2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Positive definite matrices [[electronic resource] /] / Rajendra Bhatia |
Autore | Bhatia Rajendra <1952-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2007 |
Descrizione fisica | 1 online resource (265 p.) |
Disciplina | 512.9/434 |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto non controllato |
Addition
Analytic continuation Arithmetic mean Banach space Binomial theorem Block matrix Bochner's theorem Calculation Cauchy matrix Cauchy–Schwarz inequality Characteristic polynomial Coefficient Commutative property Compact space Completely positive map Complex number Computation Continuous function Convex combination Convex function Convex set Corollary Density matrix Diagonal matrix Differential geometry Eigenvalues and eigenvectors Equation Equivalence relation Existential quantification Extreme point Fourier transform Functional analysis Fundamental theorem G. H. Hardy Gamma function Geometric mean Geometry Hadamard product (matrices) Hahn–Banach theorem Harmonic analysis Hermitian matrix Hilbert space Hyperbolic function Infimum and supremum Infinite divisibility (probability) Invertible matrix Lecture Linear algebra Linear map Logarithm Logarithmic mean Mathematics Matrix (mathematics) Matrix analysis Matrix unit Metric space Monotonic function Natural number Open set Operator algebra Operator system Orthonormal basis Partial trace Positive definiteness Positive element Positive map Positive semidefinite Positive-definite function Positive-definite matrix Probability measure Probability Projection (linear algebra) Quantity Quantum computing Quantum information Quantum statistical mechanics Real number Riccati equation Riemannian geometry Riemannian manifold Riesz representation theorem Right half-plane Schur complement Schur's theorem Scientific notation Self-adjoint operator Sign (mathematics) Special case Spectral theorem Square root Standard basis Summation Tensor product Theorem Toeplitz matrix Unit vector Unitary matrix Unitary operator Upper half-plane Variable (mathematics) |
ISBN |
1-282-12974-0
9786612129742 1-4008-2778-7 |
Classificazione | SK 220 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
Record Nr. | UNINA-9910777727303321 |
Bhatia Rajendra <1952-> | ||
Princeton, N.J., : Princeton University Press, c2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|