Cargando…
Sparse matrices /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1973.
|
| Colección: | Mathematics in science and engineering ;
v. 99. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Sparse Matrics; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Preliminary Considerations; 1.1 Introduction; 1.2 Sparse Matrices; 1.3 Packed Form of Storage; 1.4 Scaling; 1.5 Bibliography and Comments; Chapter 2. The Gaussian Elimination; 2.1 Introduction; 2.2 The Basic Method; 2.3 Pivoting and Round-off Errors; 2.4 The Elimination Form of Inverse; 2.5 Minimizing the Total Number of Nonzero Elements in EFI; 2.6 Storage and Use of the Elimination Form of Inverse; 2.7 Bibliography and Comments; Chapter 3. Additional Methods for Minimizing the Storage for EFI
- 3.1 Introduction3.2 Methods Based on A Priori Column Permutations; 3.3 Desirable Forms for Gaussian Elimination; 3.4 Matrices and Graphs; 3.5 The Block Diagonal Form; 3.6 The Block Triangular Form; 3.7 The Band Triangular Form; 3.8 The Band Form; 3.9 Other Desirable Forms; 3.10 Inverses of BTF and BBTF; 3.11 Bibliography and Comments; Chapter 4. Direct Triangular Decomposition; 4.1 Introduction; 4.2 The Crout Method; 4.3 Minimizing the Fill-in for the Crout Method; 4.4 The Doolittle (Black) Method; 4.5 The Cholesky (Square-Root, Banachiewicz) Method
- 4.6 Desirable Forms for Triangular Decomposition4.7 Bibliography and Comments; Chapter 5. The Gnuss-Jordan Elimination; 5.1 Introduction; 5.2 The Basic Method; 5.3 The Relationship between the PFI and the EFI; 5.4 Minimizing the Total Number of Nonzeros in the PFI; 5.5 Desirable Forms for the GJE; 5.6 Bibliography and Comments; Chapter 6. Orthogonalization Methods; 6.1 Introduction; 6.2 The Gram-Schmidt Method; 6.3 Minimizing the Nonzeros in the RGS Method; 6.4 The Householder Triangularization Method; 6.5 The Fill-in for the RGS versus the HT Method; 6.6 The Jacobi Method
- 6.7 Bibliography and CommentsChapter 7. Eigenvalues and Eigenvectors; 7.1 Introduction; 7.2 The Givens Method; 7.3 The Householder Method; 7.4 Reduction to the Hessenberg Form; 7.5 Eigenvectors; 7.6 Bibliography and Comments; Chapter 8. Change of Basis and Miscellaneous Topics; 8.1 Introduction; 8.2 The Result of Changes in a Column of A on A-1; 8.3 Kron's Method of Tearing; 8.4 Bifactorization; 8.5 Bibliography and Comments; References; Author Index; Subject Index