Parallel iterative algorithms : from sequential to grid computing /: from sequential to grid computing. (©2008)

• Record Type: Book
• Further Information: Note: Jacques Mohcine Bahi, Sylvain Contassot-Vivier, Raphaël Couturier.
• Other Names: Bahi, Jacques Mohcine; Contassot-Vivier, Sylvain; Couturier, Raphaël
• Contents: INTRODUCTION; ; ITERATIVE ALGORITHMS; Basic theory; Sequential iterative algorithms; A classical illustration example; ; ITERATIVE ALGORITHMS AND APPLICATIONS TO NUMERICAL PROBLEMS; Systems of linear equations; Nonlinear equation systems; Exercises; ; PARALLEL ARCHITECTURES AND ITERATIVE ALGORITHMS; Historical context; Parallel architectures; Trends of used configurations; Classification of parallel iterative algorithms; ; SYNCHRONOUS ITERATIONS; Parallel linear iterative algorithms for linear systems; Nonlinear systems: parallel synchronous Newton-multisplitting algorithms; Preconditioning; Implementation; Convergence detection; Exercises; ; ASYNCHRONOUS ITERATIONS; Advantages of asynchronous algorithms; Mathematical model and convergence results; Convergence situations; Parallel asynchronous multisplitting algorithms; Coupling Newton and multisplitting algorithms; Implementation; Convergence detection; Exercises; ; PROGRAMMING ENVIRONMENTS AND EXPERIMENTAL RESULTS; Implementation of AIAC algorithms with nondedicated environments; Two environments dedicated to asynchronous iterative algorithms; Ratio between computation time and communication time; Experiments in the context of linear systems; Experiments in the context of partial differential equations using a finite difference scheme; ; APPENDIX: DIAGONAL DOMINANCE AND IRREDUCIBLE MATRICES; Z-matrices, M-matrices, and H-matrices; Perron-Frobenius theorem; Sequences and sets; ; REFERENCES; INDEX
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2008
• Copyright Date: 2008
• Extent: 1 online resource (xviii, 217 pages), illustrations
• Subjects: 518/.26; Parallel processing (Electronic computers); Parallel algorithms; Computational grids (Computer systems); Iterative methods (Mathematics); MATHEMATICS -- Numerical Analysis; Computational grids (Computer systems); Iterative methods (Mathematics); Parallel algorithms; Parallel processing (Electronic computers); Electronic books
• Languages: English
• ISBNs: 1584888091; 9781584888093
• Related ISBNs: 1584888083; 9781584888086
• Notes: Note: Includes bibliographical references (pages 205-213) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.