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Fundamentals of matrix computations [[electronic resource] /] / David S. Watkins
| Fundamentals of matrix computations [[electronic resource] /] / 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 |
Watkins David S
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| New York, : Wiley-Interscience, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Generalized vectorization, cross-products, and matrix calculus / / Darrell A. Turkington [[electronic resource]]
| Generalized vectorization, cross-products, and matrix calculus / / Darrell A. Turkington [[electronic resource]] |
| Autore | Turkington Darrell A. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xi, 267 pages) : digital, PDF file(s) |
| Disciplina | 515/.63 |
| Soggetto topico |
Matrices
Vector analysis |
| ISBN |
1-139-61118-6
1-107-23793-9 1-139-60936-X 1-139-61304-9 1-139-61676-5 1-139-42440-8 1-139-62606-X 1-283-87069-X 1-139-62234-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Mathematical prerequisites -- 2. Zero-one matrices -- 3. Elimination and duplication matrices -- 4. Matrix calculus -- 5. New matrix calculus results -- 6. Applications. |
| Altri titoli varianti | Generalized Vectorization, Cross-Products, & Matrix Calculus |
| Record Nr. | UNINA-9910453054103321 |
|
Turkington Darrell A.
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Generalized vectorization, cross-products, and matrix calculus / / Darrell A. Turkington [[electronic resource]]
| Generalized vectorization, cross-products, and matrix calculus / / Darrell A. Turkington [[electronic resource]] |
| Autore | Turkington Darrell A. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xi, 267 pages) : digital, PDF file(s) |
| Disciplina | 515/.63 |
| Soggetto topico |
Matrices
Vector analysis |
| ISBN |
1-139-61118-6
1-107-23793-9 1-139-60936-X 1-139-61304-9 1-139-61676-5 1-139-42440-8 1-139-62606-X 1-283-87069-X 1-139-62234-X |
| Classificazione | BUS021000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Mathematical prerequisites -- 2. Zero-one matrices -- 3. Elimination and duplication matrices -- 4. Matrix calculus -- 5. New matrix calculus results -- 6. Applications. |
| Altri titoli varianti | Generalized Vectorization, Cross-Products, & Matrix Calculus |
| Record Nr. | UNINA-9910779439603321 |
|
Turkington Darrell A.
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Generalized vectorization, cross-products, and matrix calculus / / Darrell A. Turkington [[electronic resource]]
| Generalized vectorization, cross-products, and matrix calculus / / Darrell A. Turkington [[electronic resource]] |
| Autore | Turkington Darrell A. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xi, 267 pages) : digital, PDF file(s) |
| Disciplina | 515/.63 |
| Soggetto topico |
Matrices
Vector analysis |
| ISBN |
1-139-61118-6
1-107-23793-9 1-139-60936-X 1-139-61304-9 1-139-61676-5 1-139-42440-8 1-139-62606-X 1-283-87069-X 1-139-62234-X |
| Classificazione | BUS021000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Mathematical prerequisites -- 2. Zero-one matrices -- 3. Elimination and duplication matrices -- 4. Matrix calculus -- 5. New matrix calculus results -- 6. Applications. |
| Altri titoli varianti | Generalized Vectorization, Cross-Products, & Matrix Calculus |
| Record Nr. | UNINA-9910824549403321 |
|
Turkington Darrell A.
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry by transformations / E. A. Maxwell
| Geometry by transformations / E. A. Maxwell |
| Autore | Maxwell, E. A. |
| Pubbl/distr/stampa | Cambridge : Cambridge University Press, 1975 |
| Descrizione fisica | xii, 276 p. : ill. ; 24 cm. |
| Disciplina | 516.1 |
| Collana | School mathematics project handbooks |
| Soggetto topico |
Matrices
Transformations |
| ISBN | 0521204054 |
| Classificazione | AMS 51-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000946519707536 |
|
Maxwell, E. A.
|
||
| Cambridge : Cambridge University Press, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Handbook of matrices / H. Lütkepohl
| Handbook of matrices / H. Lütkepohl |
| Autore | Lütkepohl, Helmut |
| Pubbl/distr/stampa | Chichester [etc] : Wiley e Sons, c1996 |
| Descrizione fisica | xvi, 304 p. ; 24 cm |
| Disciplina | 512.9 |
| Soggetto topico | Matrices |
| ISBN | 0471970158 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001197179707536 |
|
Lütkepohl, Helmut
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||
| Chichester [etc] : Wiley e Sons, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Hierarchical matrices [[electronic resource] ] : a means to efficiently solve elliptic boundary value problems / / Mario Bebendorf
| Hierarchical matrices [[electronic resource] ] : a means to efficiently solve elliptic boundary value problems / / Mario Bebendorf |
| Autore | Bebendorf Mario |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, : Springer, 2008 |
| Descrizione fisica | 1 online resource (304 p.) |
| Disciplina | 515.353 |
| Collana | Lecture notes in computational science and engineering |
| Soggetto topico |
Matrices
Boundary value problems Differential equations, Elliptic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-51279-6
9786611512798 3-540-77147-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Low-Rank Matrices and Matrix Partitioning -- Hierarchical Matrices -- Approximation of Discrete Integral Operators -- Application to Finite Element Discretizations. |
| Record Nr. | UNINA-9910451276403321 |
|
Bebendorf Mario
|
||
| Berlin, : Springer, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hierarchical matrices [[electronic resource] ] : a means to efficiently solve elliptic boundary value problems / / Mario Bebendorf
| Hierarchical matrices [[electronic resource] ] : a means to efficiently solve elliptic boundary value problems / / Mario Bebendorf |
| Autore | Bebendorf Mario |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, : Springer, 2008 |
| Descrizione fisica | 1 online resource (304 p.) |
| Disciplina | 515.353 |
| Collana | Lecture notes in computational science and engineering |
| Soggetto topico |
Matrices
Boundary value problems Differential equations, Elliptic |
| ISBN |
1-281-51279-6
9786611512798 3-540-77147-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Low-Rank Matrices and Matrix Partitioning -- Hierarchical Matrices -- Approximation of Discrete Integral Operators -- Application to Finite Element Discretizations. |
| Record Nr. | UNINA-9910777458403321 |
|
Bebendorf Mario
|
||
| Berlin, : Springer, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hierarchical matrices [[electronic resource] ] : a means to efficiently solve elliptic boundary value problems / / Mario Bebendorf
| Hierarchical matrices [[electronic resource] ] : a means to efficiently solve elliptic boundary value problems / / Mario Bebendorf |
| Autore | Bebendorf Mario |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, : Springer, 2008 |
| Descrizione fisica | 1 online resource (304 p.) |
| Disciplina | 515.353 |
| Collana | Lecture notes in computational science and engineering |
| Soggetto topico |
Matrices
Boundary value problems Differential equations, Elliptic |
| ISBN |
1-281-51279-6
9786611512798 3-540-77147-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Low-Rank Matrices and Matrix Partitioning -- Hierarchical Matrices -- Approximation of Discrete Integral Operators -- Application to Finite Element Discretizations. |
| Record Nr. | UNINA-9910824533803321 |
|
Bebendorf Mario
|
||
| Berlin, : Springer, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Infinite matrices of operators / Ivor J. Maddox
| Infinite matrices of operators / Ivor J. Maddox |
| Autore | Maddox, Ivor J. |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1980 |
| Descrizione fisica | v, 121 p. ; 25 cm |
| Disciplina | 510 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 786 |
| Soggetto topico |
Matrices
Operator theory Sequence spaces Summability theory |
| ISBN | 3540097643 |
| Classificazione | AMS 46A45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000995659707536 |
|
Maddox, Ivor J.
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| Berlin ; New York : Springer-Verlag, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Soggetto topico
-
Matrices
(226)
- Statistics (8)
- Algebra (7)
- Algebras, Linear (7)
- Algorithms (7)