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Fundamentals of matrix computations / David S. Watkins
| Fundamentals of matrix computations / David S. Watkins |
| Autore | WATKINS, David S. |
| Edizione | [2. ed.] |
| Pubbl/distr/stampa | New York, : Wiley-Interscience, 2002 |
| Descrizione fisica | Testo elettronico (PDF) (XIII, 620 p.) |
| Disciplina | 512.9434 |
| Collana | Pure and applied mathematics |
| Soggetto topico | Matrici algebriche |
| ISBN | 9780471249719 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996451649003316 |
WATKINS, David S.
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| New York, : Wiley-Interscience, 2002 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. di Salerno | ||
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Fundamentals of matrix computations / / David S. Watkins
| Fundamentals of matrix computations / / David S. Watkins |
| Autore | Watkins David S |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | New York, : Wiley-Interscience, c2002 |
| Descrizione fisica | 1 online resource (635 p.) |
| Disciplina |
512.9/434
512.9434 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Matrices
Numerical analysis |
| ISBN |
1-280-54182-2
9786610541829 0-471-46167-9 0-471-24971-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Acknowledgments; 1 Gaussian Elimination and Its Variants; 1.1 Matrix Multiplication; 1.2 Systems of Linear Equations; 1.3 Triangular Systems; 1.4 Positive Definite Systems; Cholesky Decomposition; 1.5 Banded Positive Definite Systems; 1.6 Sparse Positive Definite Systems; 1.7 Gaussian Elimination and the LU Decomposition; 1.8 Gaussian Elimination with Pivoting; 1.9 Sparse Gaussian Elimination; 2 Sensitivity of Linear Systems; 2.1 Vector and Matrix Norms; 2.2 Condition Numbers; 2.3 Perturbing the Coefficient Matrix; 2.4 A Posteriori Error Analysis Using the Residual
2.5 Roundoff Errors Backward Stability; 2.6 Propagation of Roundoff Errors; 2.7 Backward Error Analysis of Gaussian Elimination; 2.8 Scaling; 2.9 Componentwise Sensitivity Analysis; 3 The Least Squares Problem; 3.1 The Discrete Least Squares Problem; 3.2 Orthogonal Matrices, Rotators, and Reflectors; 3.3 Solution of the Least Squares Problem; 3.4 The Gram-Schmidt Process; 3.5 Geometric Approach; 3.6 Updating the QR Decomposition; 4 The Singular Value Decomposition; 4.1 Introduction; 4.2 Some Basic Applications of Singular Values; 4.3 The SVD and the Least Squares Problem 4.4 Sensitivity of the Least Squares Problem5 Eigenvalues and Eigenvectors I; 5.1 Systems of Differential Equations; 5.2 Basic Facts; 5.3 The Power Method and Some Simple Extensions; 5.4 Similarity Transforms; 5.5 Reduction to Hessenberg and Tridiagonal Forms; 5.6 The QR Algorithm; 5.7 Implementation of the QR algorithm; 5.8 Use of the QR Algorithm to Calculate Eigenvectors; 5.9 The SVD Revisited; 6 Eigenvalues and Eigenvectors II; 6.1 Eigenspaces and Invariant Subspaces; 6.2 Subspace Iteration, Simultaneous Iteration, and the QR Algorithm; 6.3 Eigenvalues of Large, Sparse Matrices, I 6.4 Eigenvalues of Large, Sparse Matrices, II6.5 Sensitivity of Eigenvalues and Eigenvectors; 6.6 Methods for the Symmetric Eigenvalue Problem; 6.7 The Generalized Eigenvalue Problem; 7 Iterative Methods for Linear Systems; 7.1 A Model Problem; 7.2 The Classical Iterative Methods; 7.3 Convergence of Iterative Methods; 7.4 Descent Methods; Steepest Descent; 7.5 Preconditioners; 7.6 The Conjugate-Gradient Method; 7.7 Derivation of the CG Algorithm; 7.8 Convergence of the CG Algorithm; 7.9 Indefinite and Nonsymmetric Problems; Appendix: Some Sources of Software for Matrix Computations ReferencesIndex; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; W; Index of MATLAB Terms; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; W; X; Y |
| Record Nr. | UNINA-9910143178703321 |
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Watkins David S
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| New York, : Wiley-Interscience, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Generalized inverses : theory and applications / Adi Ben-Israel, Thomas N. E. Grenville
| Generalized inverses : theory and applications / Adi Ben-Israel, Thomas N. E. Grenville |
| Autore | Ben-Israel, Adi |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | New York : Springer, c2003 |
| Descrizione fisica | xv, 420 p. ; 25 cm |
| Disciplina | 512.9434 |
| Altri autori (Persone) | Greville, Thomas Nall Eden |
| Collana | CMS books in mathematics = Ouvrages de mathématiques de la SMC, 1613-5237 ; 15 |
| Soggetto topico | Matrix inversion |
| ISBN | 0387002936 |
| Classificazione |
AMS 15A09
AMS 65F AMS 47A05 LC QA188.B46 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000164059707536 |
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Ben-Israel, Adi
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| New York : Springer, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Generalized inverses of linear transformations / S. L. Campbell, C. D. Meyer
| Generalized inverses of linear transformations / S. L. Campbell, C. D. Meyer |
| Autore | Campbell, Stephen La Vern <1945- > |
| Pubbl/distr/stampa | New York : Dover, 1979 |
| Descrizione fisica | 272 p. : ill. ; 24 cm |
| Disciplina | 512.9434 |
| Altri autori (Persone) | Meyer, Carl Dean |
| Soggetto non controllato | Trasformazioni (Matematica) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000478340403321 |
| Campbell, Stephen La Vern <1945- > | ||
| New York : Dover, 1979 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Generalized Locally Toeplitz Sequences: Theory and Applications : Volume II / / by Carlo Garoni, Stefano Serra-Capizzano
| Generalized Locally Toeplitz Sequences: Theory and Applications : Volume II / / by Carlo Garoni, Stefano Serra-Capizzano |
| Autore | Garoni Carlo |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XI, 194 p. 1 illus.) |
| Disciplina | 512.9434 |
| Soggetto topico |
Numerical analysis
Matrix theory Algebra Partial differential equations Operator theory Measure theory Numerical Analysis Linear and Multilinear Algebras, Matrix Theory Partial Differential Equations Operator Theory Measure and Integration |
| ISBN | 3-030-02233-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Notes to the Reader -- 2 Mathematical Background -- 3 Multilevel Toeplitz Sequences -- 4 Multilevel Locally Toeplitz Sequences -- 5 Multilevel Generalized Locally Toeplitz Sequences -- 6 Summary of the Theory -- 7 Applications -- 8 Future Developments. |
| Record Nr. | UNINA-9910303454203321 |
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Garoni Carlo
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hadamard matrices : constructions using number theory and algebra / / Jennifer Seberry, Mieko Yamada
| Hadamard matrices : constructions using number theory and algebra / / Jennifer Seberry, Mieko Yamada |
| Autore | Seberry Jennifer <1944-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, John Wiley & Sons, Inc., , 2020 |
| Descrizione fisica | 1 online resource |
| Disciplina | 512.9434 |
| Soggetto topico | Hadamard matrices |
| ISBN |
1-119-52013-4
1-119-52027-4 1-119-52025-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Chapter 1 Basic Definitions -- Chapter 2 Gauss Sums, Jacobi Sums, and Relative Gauss Sums -- Chapter 3 Plug-In Matrices -- Chapter 4 Arrays: Matrices to Plug-Into -- Chapter 5 Sequences -- Chapter 6 M-structures -- Chapter 7 Menon Hadamard Difference Sets and Regular Hadamard Matrices -- Chapter 8 Paley Hadamard Difference Sets and Paley Type Partial Difference Sets -- Chapter 9 Skew Hadamard, Amicable, and Symmetric Matrices -- Chapter 10 Skew Hadamard Difference Sets -- Chapter 11 Asymptotic Existence of Hadamard Matrices -- Chapter 12 More on Maximal Determinant Matrices -- Appendix A Hadamard Matrices -- Appendix B List of sds from Cyclotomy -- Appendix C Further Research Questions -- References -- Index. |
| Record Nr. | UNINA-9910555148603321 |
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Seberry Jennifer <1944->
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| Hoboken, New Jersey : , : Wiley, John Wiley & Sons, Inc., , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hadamard matrices : constructions using number theory and algebra / / Jennifer Seberry, Mieko Yamada
| Hadamard matrices : constructions using number theory and algebra / / Jennifer Seberry, Mieko Yamada |
| Autore | Seberry Jennifer <1944-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, John Wiley & Sons, Inc., , 2020 |
| Descrizione fisica | 1 online resource |
| Disciplina | 512.9434 |
| Soggetto topico | Hadamard matrices |
| ISBN |
1-119-52013-4
1-119-52027-4 1-119-52025-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Chapter 1 Basic Definitions -- Chapter 2 Gauss Sums, Jacobi Sums, and Relative Gauss Sums -- Chapter 3 Plug-In Matrices -- Chapter 4 Arrays: Matrices to Plug-Into -- Chapter 5 Sequences -- Chapter 6 M-structures -- Chapter 7 Menon Hadamard Difference Sets and Regular Hadamard Matrices -- Chapter 8 Paley Hadamard Difference Sets and Paley Type Partial Difference Sets -- Chapter 9 Skew Hadamard, Amicable, and Symmetric Matrices -- Chapter 10 Skew Hadamard Difference Sets -- Chapter 11 Asymptotic Existence of Hadamard Matrices -- Chapter 12 More on Maximal Determinant Matrices -- Appendix A Hadamard Matrices -- Appendix B List of sds from Cyclotomy -- Appendix C Further Research Questions -- References -- Index. |
| Record Nr. | UNINA-9910830196503321 |
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Seberry Jennifer <1944->
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| Hoboken, New Jersey : , : Wiley, John Wiley & Sons, Inc., , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hadamard matrices and their applications / / K. J. Horadam
| Hadamard matrices and their applications / / K. J. Horadam |
| Autore | Horadam K. J. <1951-> |
| Edizione | [1st ed. 1985.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , [1985] |
| Descrizione fisica | 1 online resource (V, 227 p.) |
| Disciplina | 512.9434 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Hadamard matrices |
| ISBN | 3-540-39740-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Construction of classic Hadamard matrices -- Construction of generalized Hadamard matrices -- Application of Hadamard matrices. |
| Record Nr. | UNISA-996466473803316 |
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Horadam K. J. <1951->
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| Berlin : , : Springer-Verlag, , [1985] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Handbook for matrix computations / Thomas F. Coleman, Charles Van Loan
| Handbook for matrix computations / Thomas F. Coleman, Charles Van Loan |
| Autore | Coleman, Thomas F. |
| Pubbl/distr/stampa | Philadelphia : SIAM, 1988 |
| Descrizione fisica | VII, 264 p. ; 23 cm |
| Disciplina | 512.9434 |
| Altri autori (Persone) | Van Loan, Charles F. |
| Collana | Frontiers in applied mathematics |
| Soggetto non controllato | Calcolo matriciale |
| ISBN | 0-89871-227-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNIPARTHENOPE-000019116 |
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Coleman, Thomas F.
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| Philadelphia : SIAM, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Parthenope | ||
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Handbook of matrices / H. Lutkepohl.- Cichester [etc.] : John Wiley & Sons, 1996
| Handbook of matrices / H. Lutkepohl.- Cichester [etc.] : John Wiley & Sons, 1996 |
| Autore | LUTKEPOHL, Helmut |
| Disciplina | 512.9434(Matrici) |
| Soggetto topico | Matrici |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990005516250203316 |
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LUTKEPOHL, Helmut
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| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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