Computational Methods for General Sparse Matrices

Zahari Zlatev (Autor)

Buch | Hardcover

328 Seiten

1991
Springer (Verlag)
978-0-7923-1154-6 (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	30.9.1991
Reihe/Serie	Mathematics and Its Applications ; 65
Reihe/Serie	Mathematics and Its Applications ; 65
Zusatzinfo	XIX, 328 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	210 x 297 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	0-7923-1154-X / 079231154X
ISBN-13	978-0-7923-1154-6 / 9780792311546
Zustand	Neuware