List of Figures. List of Tables. Preface. Acknowledgments. Part I: Mathematic Background and Loop Transformation. 1. Mathematical Background. 2. Nonsingular Transformations and Permutability. Part II: Tiling as a Loop Transformation. 3. Rectangular Tiling. 4. Parallelepiped Tiling. Part III: Tiling for Distributed-Memory Machines. 5. SPMD Code Generation. 6. Communication-Minimal Tiling. 7. Time-Minimal Tiling. Bibliography. Index.
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