Computational Methods for General Sparse Matrices: 65 - Rilegato

Zlatev, Zahari

 
9780792311546: Computational Methods for General Sparse Matrices: 65

Sinossi

'Et moi, ... si j'avait su comment en revenir, One service mathematics has rendered the je n 'y serais point aile.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell 0. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

1. Exploiting Sparsity.- 2. Storage Schemes.- 3. General Scheme for Linear Algebraic Problems.- 4. Pivotal Strategies for Gaussian Elimination.- 5. Use of Iterative Refinement in the GE Process.- 6. Implementation of the Algorithms.- 7. Solving Least Squares Problems by Augmentation.- 8. Sparse Matrix Technique for Ordinary Differential Equations.- 9. Condition Number Estimators in a Sparse Matrix Software.- 10. Parallel Direct Solvers.- 11 Parallel Orthomin for General Sparse Matrices.- 12. Orthogonalization Methods.- 13. Two Storage Schemes for Givens Plane Rotations.- 14. Pivotal Strategies for Givens Plane Rotations.- 15. Iterative Refinement after the Plane Rotations.- 16. Preconditioned Conjugate Gradients for Givens Plane Rotations.- References.- Author Index.

Product Description

Book by Zlatev Zahari

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9789048140862: Computational Methods for General Sparse Matrices: 65

Edizione in evidenza

ISBN 10:  9048140862 ISBN 13:  9789048140862
Casa editrice: Springer, 2010
Brossura