Parallelism in matrix computations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Science+Business Media
2016
|
| Schriftenreihe: | Scientific computation
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| Schlagworte: | |
| Online-Zugang: | BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (xxx, 473 p. 58 illus) |
| ISBN: | 9789401771887 |
| DOI: | 10.1007/978-94-017-7188-7 |
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| adam_text | PARALLELISM IN MATRIX COMPUTATIONS
/ GALLOPOULOS, EFSTRATIOS
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
LIST OF FIGURES
LIST OF TABLES
LIST OF ALGORITHMS
NOTATIONS USED IN THE BOOK
PART I BASICS
PARALLEL PROGRAMMING PARADIGMS
COMPUTATIONAL MODELS
PRINCIPLES OF PARALLEL PROGRAMMING
FUNDAMENTAL KERNELS
VECTOR OPERATIONS
HIGHER LEVEL BLAS
GENERAL ORGANIZATION FOR DENSE MATRIX FACTORIZATIONS
SPARSE MATRIX COMPUTATIONS
PART II DENSE AND SPECIAL MATRIX COMPUTATIONS
RECURRENCES AND TRIANGULAR SYSTEMS
DEFINITIONS AND EXAMPLES
LINEAR RECURRENCES
IMPLEMENTATIONS FOR A GIVEN NUMBER OF PROCESSORS
NONLINEAR RECURRENCES
GENERAL LINEAR SYSTEMS
GAUSSIAN ELIMINATION
PAIR WISE PIVOTING
BLOCK LU FACTORIZATION
REMARKS
BANDED LINEAR SYSTEMS
LUBASED SCHEMES WITH PARTIAL PIVOTING
THE SPIKE FAMILY OF ALGORITHMS
THE SPIKE BALANCE SCHEME
A TEARING BASED BANDED SOLVER
TRIDIAGONAL SYSTEMS
SPECIAL LINEAR SYSTEMS
VANDERMONDE SOLVERS
BANDED TOEPLITZ LINEAR SYSTEMS SOLVERS
SYMMETRIC AND ANTI SYMMETRIC DECOMPOSITION (SAS)
RAPID ELLIPTIC SOLVERS
ORTHOGONAL FACTORIZATION AND LINEAR LEAST SQUARES PROBLEMS
DEFINITIONS
QR FACTORIZATION VIA GIVENS ROTATIONS
QR FACTORIZATION VIA HOUSEHOLDER REDUCTIONS
GRAM SCHMIDT ORTHOGONALIZATION
NORMAL EQUATIONS VS. ORTHOGONAL REDUCTIONS
HYBRID ALGORITHMS WHEN M N
ORTHOGONAL FACTORIZATION OF BLOCK ANGULAR MATRICES
RANK DEFICIENT LINEAR LEAST SQUARES PROBLEMS
THE SYMMETRIC EIGENVALUE AND SINGULAR VALUE PROBLEMS
THE JACOBI ALGORITHMS
TRIDIAGONALIZATION BASED SCHEMES
BIDIAGONALIZATION VIA HOUSEHOLDER REDUCTION
PART III SPARSE MATRIX COMPUTATIONS
ITERATIVE SCHEMES FOR LARGE LINEAR SYSTEMS
AN EXAMPLE
CLASSICAL SPLITTING METHODS
POLYNOMIAL METHODS
PRECONDITIONERS
A TEARING BASED SOLVER FOR GENERALIZED BANDED PRECONDITIONERS
ROW PROJECTION METHODS FOR LARGE NON SYMMETRIC LINEAR SYSTEMS
MULTIPLICATIVE SCHWARZ PRECONDITIONER WITH GMRES
LARGE SYMMETRIC EIGENVALUE PROBLEMS
COMPUTING DOMINANT EIGENPAIRS AND SPECTRAL TRANSFORMATIONS
THE LANCZOS METHOD
A BLOCK LANCZOS APPROACH FOR SOLVING SYMMETRIC PERTURBED STANDARD
EIGENVALUE PROBLEMS
THE DAVIDSON METHODS
THE TRACE MINIMIZATION METHOD FOR THE SYMMETRIC GENERALIZED EIGENVALUE
PROBLEM
THE SPARSE SINGULAR VALUE PROBLEM
PART IV MATRIX FUNCTIONS AND CHARACTERISTICS
MATRIX FUNCTIONS AND THE DETERMINANT
MATRIX FUNCTIONS
DETERMINANTS
COMPUTING THE MATRIX PSEUDOSPECTRUM
GRID BASED METHODS
DIMENSIONALITY REDUCTION ON THE DOMAIN: METHODS BASED ON PATH FOLLOWING
DIMENSIONALITY REDUCTION ON THE MATRIX: METHODS BASED ON PROJECTION
NOTES
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
PARALLELISM IN MATRIX COMPUTATIONS
/ GALLOPOULOS, EFSTRATIOS
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK IS PRIMARILY INTENDED AS A RESEARCH MONOGRAPH THAT COULD ALSO
BE USED IN GRADUATE COURSES FOR THE DESIGN OF PARALLEL ALGORITHMS IN
MATRIX COMPUTATIONS. IT ASSUMES GENERAL BUT NOT EXTENSIVE KNOWLEDGE OF
NUMERICAL LINEAR ALGEBRA, PARALLEL ARCHITECTURES, AND PARALLEL
PROGRAMMING PARADIGMS. THE BOOK CONSISTS OF FOUR PARTS: (I) BASICS; (II)
DENSE AND SPECIAL MATRIX COMPUTATIONS; (III) SPARSE MATRIX COMPUTATIONS;
AND (IV) MATRIX FUNCTIONS AND CHARACTERISTICS. PART I DEALS WITH
PARALLEL PROGRAMMING PARADIGMS AND FUNDAMENTAL KERNELS, INCLUDING
REORDERING SCHEMES FOR SPARSE MATRICES. PART II IS DEVOTED TO DENSE
MATRIX COMPUTATIONS SUCH AS PARALLEL ALGORITHMS FOR SOLVING LINEAR
SYSTEMS, LINEAR LEAST SQUARES, THE SYMMETRIC ALGEBRAIC EIGENVALUE
PROBLEM, AND THE SINGULAR-VALUE DECOMPOSITION. IT ALSO DEALS WITH THE
DEVELOPMENT OF PARALLEL ALGORITHMS FOR SPECIAL LINEAR SYSTEMS SUCH AS
BANDED ,VANDERMONDE ,TOEPLITZ ,AND BLOCK TOEPLITZ SYSTEMS.PART III
ADDRESSES SPARSE MATRIX COMPUTATIONS: (A) THE DEVELOPMENT OF PARALLEL
ITERATIVE LINEAR SYSTEM SOLVERS WITH EMPHASIS ON SCALABLE
PRECONDITIONERS, (B) PARALLEL SCHEMES FOR OBTAINING A FEW OF THE EXTREME
EIGENPAIRS OR THOSE CONTAINED IN A GIVEN INTERVAL IN THE SPECTRUM OF A
STANDARD OR GENERALIZED SYMMETRIC EIGENVALUE PROBLEM, AND (C) PARALLEL
METHODS FOR COMPUTING A FEW OF THE EXTREME SINGULAR TRIPLETS. PART IV
FOCUSES ON THE DEVELOPMENT OF PARALLEL ALGORITHMS FOR MATRIX FUNCTIONS
AND SPECIAL CHARACTERISTICS SUCH AS THE MATRIX PSEUDOSPECTRUM AND THE
DETERMINANT. THE BOOK ALSO REVIEWS THE THEORETICAL AND PRACTICAL
BACKGROUND NECESSARY WHEN DESIGNING THESE ALGORITHMS AND INCLUDES AN
EXTENSIVE BIBLIOGRAPHY THAT WILL BE USEFUL TO RESEARCHERS AND STUDENTS
ALIKE. THE BOOK BRINGS TOGETHER MANY EXISTING ALGORITHMS FOR THE
FUNDAMENTAL MATRIX COMPUTATIONS THAT HAVE A PROVEN TRACK RECORD OF
EFFICIENT IMPLEMENTATION IN TERMS OF DATA LOCALITY AND DATA TRANSFER ON
STATE-OF-THE-ART SYSTEMS, AS WELL AS SEVERAL ALGORITHMS THAT ARE
PRESENTED FOR THE FIRST TIME, FOCUSING ON THE OPPORTUNITIES FOR
PARALLELISM AND ALGORITHM ROBUSTNESS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| id | DE-604.BV043211984 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-01T12:12:20Z |
| institution | BVB |
| isbn | 9789401771887 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028635122 |
| oclc_num | 953583604 |
| open_access_boolean | |
| owner | DE-1043 DE-Aug4 DE-573 DE-859 DE-863 DE-BY-FWS DE-92 DE-862 DE-BY-FWS DE-898 DE-BY-UBR DE-634 DE-1046 DE-861 DE-706 |
| owner_facet | DE-1043 DE-Aug4 DE-573 DE-859 DE-863 DE-BY-FWS DE-92 DE-862 DE-BY-FWS DE-898 DE-BY-UBR DE-634 DE-1046 DE-861 DE-706 |
| physical | 1 Online Ressource (xxx, 473 p. 58 illus) |
| psigel | ZDB-2-ENG ZDB-2-ENG_2016 |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer Science+Business Media |
| record_format | marc |
| series2 | Scientific computation |
| spellingShingle | Gallopoulos, Efstratios Parallelism in matrix computations Engineering Computer science / Mathematics Computer-aided engineering Computer mathematics Physics Applied mathematics Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Computational Science and Engineering Numerical and Computational Physics Mathematics of Computing Computer-Aided Engineering (CAD, CAE) and Design Informatik Ingenieurwissenschaften Mathematik Symmetrische Algebra (DE-588)4373936-2 gnd Matrixverfahren (DE-588)4169123-4 gnd |
| subject_GND | (DE-588)4373936-2 (DE-588)4169123-4 |
| title | Parallelism in matrix computations |
| title_auth | Parallelism in matrix computations |
| title_exact_search | Parallelism in matrix computations |
| title_full | Parallelism in matrix computations Efstratios Gallopoulos, Bernard Philippe, Ahmed H. Sameh |
| title_fullStr | Parallelism in matrix computations Efstratios Gallopoulos, Bernard Philippe, Ahmed H. Sameh |
| title_full_unstemmed | Parallelism in matrix computations Efstratios Gallopoulos, Bernard Philippe, Ahmed H. Sameh |
| title_short | Parallelism in matrix computations |
| title_sort | parallelism in matrix computations |
| topic | Engineering Computer science / Mathematics Computer-aided engineering Computer mathematics Physics Applied mathematics Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Computational Science and Engineering Numerical and Computational Physics Mathematics of Computing Computer-Aided Engineering (CAD, CAE) and Design Informatik Ingenieurwissenschaften Mathematik Symmetrische Algebra (DE-588)4373936-2 gnd Matrixverfahren (DE-588)4169123-4 gnd |
| topic_facet | Engineering Computer science / Mathematics Computer-aided engineering Computer mathematics Physics Applied mathematics Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Computational Science and Engineering Numerical and Computational Physics Mathematics of Computing Computer-Aided Engineering (CAD, CAE) and Design Informatik Ingenieurwissenschaften Mathematik Symmetrische Algebra Matrixverfahren |
| url | https://doi.org/10.1007/978-94-017-7188-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028635122&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028635122&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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