Introduction to Matrix Analysis and Applications [[electronic resource] /] / 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
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Berlin ; ; Boston : , : De Gruyter, , [2017] | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Berlin ; ; Boston : , : De Gruyter, , [2017] | ||
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Lo trovi qui: Univ. di Salerno | ||
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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. | UNINA-9910774729103321 |
Mathai Arak M.
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Berlin ; ; Boston : , : De Gruyter, , [2017] | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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De Gruyter, 1965 | ||
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Lo trovi qui: Univ. di Salerno | ||
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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
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De Gruyter, 1965 | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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London, England : , : Academic Press, , 2015 | ||
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Lo trovi qui: Univ. di Salerno | ||
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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.
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London, England : , : Academic Press, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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London, England : , : Academic Press, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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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->
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Princeton, N.J., : Princeton University Press, c2007 | ||
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Lo trovi qui: Univ. Federico II | ||
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