高性能计算机上的数值线性代数(英文影印版)
出版时间:2011年版
内容简介
the purpose of this book is to unify anddocument in one place many of the techniques and much of thecurrent understanding about solving systems of linear equations onvector and parallel computers。 this book is not a textbook,but itis meant to provide a fast entrance to the world of vector andparallel processing for these linear algebra applications。 weintend this book to be used by three groups of readers: graduatestudents, researchers working in computational science,andnumerical analysts。 as such
t relationship with the charge with the use of solution 2: no matter how much, if with a special charger are 14 hours other charger may not necessarily have, this can'。a solution, which i based from a discussion in this blog。 therefore we has carried on the thorough discussion to the zhejiang family firm's road of inheritance from the practice and the theory angle,and has analyzed the most universal two kinds of inheritance pattern in the nowadays society高性能计算机在世界的发展, including follows father's step and the introduction professional manager, and has analyzed their respective origin and the insufficient spot。
we havepurposely avoided highly detailed descriptions of popular machinesand have tried instead to focus on concepts as much as possible;nevertheless, to make the description more concrete, we do point tospecific computers。
目录
about the authors
preface
introduction
1 high-performance computing
1.1 trends in computer design
1.2 traditional computers and their limitations
1.3 parallelism within a single processor
1.3.1 multiple functional units
1.3.2 pipelining
1.3.3 overlapping
1.3.4 risc
1.3.5 vliw
1.3.6 vector instructions
1.3.7 chaining
1.3.8 memory-to-memory and register-to-registerorganizations
1.3.9 register set
1.3.10 stripmining
1.3.11 reconfigurable vector registers
1.3.12 memory organization
1.4 data organization
1.4.1 main memory
1.4.2 cache
1.4.3 local memory
1.5 memory management
1.6 parallelism through multiple pipes or multipleprocessors
1.7 message passing
1.8 virtual shared memory
1.8.1 routing
1.9 interconnection topology
1.9.1 crossbar switch
1.9.2 timeshared bus
1.9.3 ring connection
1.9.4 mesh connection
1.9.5 hypercube
1.9.6 multi-staged network
1.10 programming techniques
1.11 trends: network-based computing
2 overview of current high-performance computers
2.1 supercomputers
2.2 risc-based processors
2.3 parallel processors
……
3 implementation details and overhead
4 performance: analysis, modeling, and measurements
5 building blocks in linear algebra
6 direct solution of sparse linear systems
7 krylov subspaces: projection
8 iterative methods for linear systems
9 preconditioning and parallel preconditioning
10 linear eigenvalue problems ax=λχ
11 the generalized eigenproblem
bibliography
index
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