Computational Methods for General Sparse Matrices

Zahari Zlatev (Autor)

Buch | Softcover

328 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1991
Springer (Verlag)
978-90-481-4086-2 (ISBN)

Artikel merken

'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.

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.

Erscheint lt. Verlag	16.11.2010
Reihe/Serie	Mathematics and Its Applications ; 65
Zusatzinfo	XIX, 328 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	160 x 240 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	90-481-4086-2 / 9048140862
ISBN-13	978-90-481-4086-2 / 9789048140862
Zustand	Neuware