Parallel Implementation of the Polyhedral Homotopy Method IMA

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Parallel Implementation of the Polyhedral Homotopy Method IMA Annual Program Year Workshop “Software for

Parallel Implementation of the Polyhedral Homotopy Method IMA Annual Program Year Workshop “Software for Algebraic Geometry” Minneapolis, October 23 -27, 2006 Masakazu Kojima Tokyo Institute of Technology, Tokyo, Japan

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of all mixed cells • Parallel implementation • Dynamic enumeration ---> Takeda’s Talk 4. Multivariate Hornor Scheme • Numerical results 5. Concluding remarks

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of all mixed cells • Parallel implementation • Dynamic enumeration ---> Takeda’s Talk 4. Multivariate Hornor Scheme • Numerical results 5. Concluding remarks

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of all mixed cells • Parallel implementation • Dynamic enumeration ---> Takeda’s Talk 4. Multivariate Hornor Scheme • Numerical results 5. Concluding remarks

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of all mixed cells • Parallel implementation • Dynamic enumeration ---> Takeda’s Talk 4. Multivariate Hornor Scheme • Numerical results 5. Concluding remarks

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of all mixed cells • Parallel implementation • Dynamic enumeration ---> Takeda’s Talk 4. Multivariate Hornor Scheme • Numerical results 5. Concluding remarks

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of all mixed cells • Parallel implementation • Dynamic enumeration ---> Takeda’s Talk 4. Multivariate Hornor Scheme • Numerical results 5. Concluding remarks

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of all mixed cells • Parallel implementation • Dynamic enumeration • Numerical results 4. Multivariate Hornor Scheme • Numerical results 5. Concluding remarks

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of

Contents 1. Polyhedral homotopy method 2. PHo. Mpara • Numerical results 3. Enumeration of all mixed cells • Parallel implementation • Dynamic enumeration ---> Takeda’s Talk 4. Multivariate Hornor Scheme • Numerical results 5. Concluding remarks

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