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MARC Lista (tabellare)
Linear algebra : a course for physicists and engineers / / Arak M. Mathai, Hans J. Haubold
Linear algebra : a course for physicists and engineers / / Arak M. Mathai, Hans J. Haubold
Autore Mathai Arak M.
Pubbl/distr/stampa Berlin : , : De Gruyter, , 2017
Descrizione fisica 1 online resource (467 pages)
Disciplina 512.5
Collana De Gruyter Textbook
Soggetto topico Algebras, Linear
Algebras, Linear - Data processing
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part I. Vectors and matrices : module 1 -- Part II. Determinants and eigenvalues : module 2 -- Part III. Applications of matrices and determinants : module 3.
Record Nr. UNINA-9910629591803321
Mathai Arak M.  
Berlin : , : De Gruyter, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Numerical linear algebra with applications : using matlab / / by William Ford
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 Electronic books.
ISBN 0-12-394784-7
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-9910460429403321
Ford William H.  
London, England : , : Academic Press, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Numerical linear algebra with applications : using matlab / / by William Ford
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
Opac: Controlla la disponibilità qui
Numerical linear algebra with applications : using matlab / / by William Ford
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
Opac: Controlla la disponibilità qui
Numerical linear algebra with applications : using matlab / / by William Ford
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
Opac: Controlla la disponibilità qui
Robust algebraic multilevel methods and algorithms [[electronic resource] /] / Johannes Kraus, Svetozar Margenov
Robust algebraic multilevel methods and algorithms [[electronic resource] /] / Johannes Kraus, Svetozar Margenov
Autore Kraus Johannes
Pubbl/distr/stampa Berlin ; ; New York, : Walter De Gruyter, c2009
Descrizione fisica 1 online resource (256 p.)
Disciplina 515.35
Altri autori (Persone) MargenovSvetozar
Collana Radon series on computational and applied mathematics
Soggetto topico Algebras, Linear - Data processing
Mathematical analysis
Soggetto genere / forma Electronic books.
ISBN 1-282-37263-7
9786612372636
3-11-021483-0
Classificazione SK 540
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- 1. Introduction -- 2. Algebraic multilevel iteration methods -- 3. Robust AMLI algorithms: Conforming linear finite elements -- 4. Robust AMLI algorithms: Nonconforming linear finite elements -- 5. Schur complement based multilevel preconditioners -- 6. Algebraic multigrid (AMG) -- 7. Preconditioning of Rannacher-Turek nonconforming FE systems -- 8. AMLI algorithms for discontinuous Galerkin FE problems -- 9. AMLI methods for coupled problems -- 10. Practical issues -- Backmatter
Record Nr. UNINA-9910455304303321
Kraus Johannes  
Berlin ; ; New York, : Walter De Gruyter, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Robust algebraic multilevel methods and algorithms [[electronic resource] /] / Johannes Kraus, Svetozar Margenov
Robust algebraic multilevel methods and algorithms [[electronic resource] /] / Johannes Kraus, Svetozar Margenov
Autore Kraus Johannes
Pubbl/distr/stampa Berlin ; ; New York, : Walter De Gruyter, c2009
Descrizione fisica 1 online resource (256 p.)
Disciplina 515.35
Altri autori (Persone) MargenovSvetozar
Collana Radon series on computational and applied mathematics
Soggetto topico Algebras, Linear - Data processing
Mathematical analysis
Soggetto non controllato Linear Algebra
Multigrid Method
Partial Differential Equation
ISBN 1-282-37263-7
9786612372636
3-11-021483-0
Classificazione SK 540
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- 1. Introduction -- 2. Algebraic multilevel iteration methods -- 3. Robust AMLI algorithms: Conforming linear finite elements -- 4. Robust AMLI algorithms: Nonconforming linear finite elements -- 5. Schur complement based multilevel preconditioners -- 6. Algebraic multigrid (AMG) -- 7. Preconditioning of Rannacher-Turek nonconforming FE systems -- 8. AMLI algorithms for discontinuous Galerkin FE problems -- 9. AMLI methods for coupled problems -- 10. Practical issues -- Backmatter
Record Nr. UNINA-9910778468003321
Kraus Johannes  
Berlin ; ; New York, : Walter De Gruyter, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui