عنوان

Computational Methods for General Sparse Matrices

(Number (ISBN

940171116X

(Number (ISBN

9789401711166

Number

b591887

Title Proper

Computational Methods for General Sparse Matrices

General Material Designation

[Book]

First Statement of Responsibility

by Zahari Zlatev.

Place of Publication, Distribution, etc.

Dordrecht

Name of Publisher, Distributor, etc.

Springer Netherlands

Date of Publication, Distribution, etc.

1991

Specific Material Designation and Extent of Item

(xix, 328 pages)

Series Title

Mathematics and Its Applications, 65.

Text of Note

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.

Text of Note

'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.

Computer science.

Electronic data processing.

Information theory.

Class number

Book number

by Zahari Zlatev.

Zahari Zlatev

Electronic name

[Book]

Y