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[null,"1.","Record Nr.",null,"UNINA9910823072003321"]
[null,null,"Autore",null,"Magoulès F (Frédéric)"]
[null,null,"Titolo",null,"Parallel scientific computing / / Frédéric Magoulès, François-Xavier Roux, Guillaume Houzeaux"]
[null,null,"Pubbl/distr/stampa",null,"London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2016"]
[{"$nulls":4},"©2016"]
[null,null,"ISBN",null,"1-118-76172-3"]
[{"$nulls":4},"1-118-76171-5"]
[null,null,"Descrizione fisica",null,"1 online resource (287 p.)"]
[null,null,"Disciplina",null,"004/.35"]
[null,null,"Soggetti",null,"Parallel processing (Electronic computers) - Industrial applications"]
[{"$nulls":4},"Parallel algorithms - Industrial applications"]
[{"$nulls":4},"Industrial engineering - Mathematics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Table of Contents; Title; Copyright; Preface; Introduction; 1 Computer Architectures; 1.1. Different types of parallelism; 1.2. Memory architecture; 1.3. Hybrid architecture; 2 Parallelization and Programming Models; 2.1. Parallelization; 2.2. Performance criteria; 2.3. Data parallelism; 2.4. Vectorization: a case study; 2.5. Message-passing; 2.6. Performance analysis; 3 Parallel Algorithm Concepts; 3.1. Parallel algorithms for recurrences; 3.2. Data locality and distribution: product of matrices; 4 Basics of Numerical Matrix Analysis; 4.1. Review of basic notions of linear algebra"]
[{"$nulls":4},"4.2. Properties of matrices5 Sparse Matrices; 5.1. Origins of sparse matrices; 5.2. Parallel formation of sparse matrices: shared memory; 5.3. Parallel formation by block of sparse matrices: distributed memory; 6 Solving Linear Systems; 6.1. Direct methods; 6.2. Iterative methods; 7 LU Methods for Solving Linear Systems; 7.1. Principle of LU decomposition; 7.2. Gauss factorization; 7.3. Gauss-Jordan factorization; 7.4. Crout and Cholesky factorizations for symmetric matrices; 8 Parallelization of LU Methods for Dense Matrices; 8.1. Block factorization"]
[{"$nulls":4},"8.2. Implementation of block factorization in a message-passing environment8.3. Parallelization of forward and backward substitutions; 9 LU Methods for Sparse Matrices; 9.1. Structure of factorized matrices; 9.2. Symbolic factorization and renumbering; 9.3. Elimination trees; "]
[{"$nulls":4},"9.4. Elimination trees and dependencies; 9.5. Nested dissections; 9.6. Forward and backward substitutions; 10 Basics of Krylov Subspaces; 10.1. Krylov subspaces; 10.2. Construction of the Arnoldi basis; 11 Methods with Complete Orthogonalization for Symmetric Positive Definite Matrices"]
[{"$nulls":4},"11.1. Construction of the Lanczos basis for symmetric matrices11.2. The Lanczos method; 11.3. The conjugate gradient method; 11.4. Comparison with the gradient method; 11.5. Principle of preconditioning for symmetric positive definite matrices; 12 Exact Orthogonalization Methods for Arbitrary Matrices; 12.1. The GMRES method; 12.2. The case of symmetric matrices: the MINRES method; 12.3. The ORTHODIR method; 12.4. Principle of preconditioning for non-symmetric matrices; 13 Biorthogonalization Methods for Non-symmetric Matrices; 13.1. Lanczos biorthogonal basis for non-symmetric matrices"]
[{"$nulls":4},"13.2. The non-symmetric Lanczos method13.3. The biconjugate gradient method: BiCG; 13.4. The quasi-minimal residual method: QMR; 13.5. The BiCGSTAB; 14 Parallelization of Krylov Methods; 14.1. Parallelization of dense matrix-vector product; 14.2. Parallelization of sparse matrix-vector product based on node sets; 14.3. Parallelization of sparse matrix-vector product based on element sets; 14.4. Parallelization of the scalar product; 14.5. Summary of the parallelization of Krylov methods; 15 Parallel Preconditioning Methods; 15.1. Diagonal; 15.2. Incomplete factorization methods"]
[{"$nulls":4},"15.3. Schur complement method"]