Algorithm engineering for integral and dynamic problems - Info and Reading Options

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Cover -- Half Title -- Title Page -- Copyright Page -- Contents -- List of Figures -- List of Tables -- Preface -- Acknowledgements -- 1. Introduction -- 1.1 Algorithm Specialisation -- 1.2 Regular Array Synthesis -- 1.2.1 Algorithm Specification -- 1.2.2 Parallelism and Data Dependence Relations -- 1.2.3 Algorithm Specialisation and Space-Time Mapping -- 1.2.4 The Role of Regularity -- 1.2.5 Enforcing Regularity -- 1.3 From Affine to Integral Problems -- 1.4 From Static to Dynamic Problems -- 1.5 Outline of the Book -- 2. Regular Array Synthesis -- 2.1 Basic Design Steps -- 2.1.1 Algorithm Specification -- 2.1.2 Analysis of the Data Dependencies -- 2.1.3 Space-Time Mapping -- 2.2 Euclidean Synthesis -- 2.2.1 Representation and Mechanisation -- 2.2.2 Normalisation of Index Expressions -- 2.2.3 Uniform and Affine Data Dependencies -- 2.2.4 Affine Space-Time Mapping -- 2.2.5 Linear Optimisation and Affine Scheduling -- 2.2.6 Affine Scheduling and Dependence Cone -- 2.3 Rgularisation -- 2.3.1 Decomposition and Uniformisation -- 2.3.2 Data Conflicts and Data Broadcasts -- 2.3.3 Rgularisation and Dependence Cone -- 2.3.4 Substitution of a Data Dependence -- 2.4 A Brief Survey -- 2.5 Summary -- 3. Integral Recurrence Equations -- 3.1 Integral Data Dependencies -- 3.1.1 Integral vs. Affine Recurrences -- 3.2 Regularisation -- 3.2.1 Regularisation Directions -- 3.2.2 Injectivity of an Atomic Integral Index Mapping -- 3.2.3 Uniformisation -- 3.2.4 Parametric Uniformisation -- 3.2.5 Decomposition -- 3.3 Regularisation and Affine Scheduling -- 3.4 Summary -- 4. Dynamic Recurrence Equations -- 4.1 Inputs and Indexed Variables -- 4.1.1 Implicit Quantification -- 4.2 Dynamic Data Dependencies -- 4.3 Dynamic Data Dependencies in Euclidean Synthesis -- 4.3.1 Finitely Generated Index Mapping -- 4.3.2 Finitely Generated Data Dependence

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