10.7.5 Case Ell: IA Curve/IA Surface Intersection 10.7.6 IA Curve/RPP Surface Intersection 10.8 Surface/Surface Intersections 2333 10.8.1 Case F3: RPP/IA Surface Intersection 10.8.2 Case F1: RPP/RPP Surface Intersection 10.8.3 Case F8: IA/IA Surface Intersection 10.9 Nonlinear Solvers 51 10.9.1 Motivation 10.1OLocal Solution Methods 10.11 Classification of Global Solution Methods 10.12Subdivision Method(Projected Polyhedron Method) 10.13Interval Method 10.13.1 Motivation 60 10.132 Definitions 10. 13. 3 Interval Arithmetic 62 10.13.4 Algebraic Properties 10. 13.5 Rounded Interval Arithmetic and its Implementati 10. 14Interval Projected Polyhedron Algorithm 10.15Interval Newton method Bibliography Reading in the Textbook Chapters 4 and 5, pp. 73-16010.7.5 Case E11: IA Curve/IA Surface Intersection . . . . . . . . . . . . . . . 32 10.7.6 IA Curve/RPP Surface Intersection . . . . . . . . . . . . . . . . . . . . 33 10.8 Surface/Surface Intersections . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 10.8.1 Case F3: RPP/IA Surface Intersection . . . . . . . . . . . . . . . . . . 34 10.8.2 Case F1: RPP/RPP Surface Intersection . . . . . . . . . . . . . . . . . 42 10.8.3 Case F8: IA/IA Surface Intersection . . . . . . . . . . . . . . . . . . . 46 10.9 Nonlinear Solvers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 10.9.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 10.10Local Solution Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 10.11Classification of Global Solution Methods . . . . . . . . . . . . . . . . . . . . . 54 10.12Subdivision Method (Projected Polyhedron Method) . . . . . . . . . . . . . . 55 10.13Interval Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 10.13.1Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 10.13.2Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 10.13.3 Interval Arithmetic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 10.13.4Algebraic Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 10.13.5Rounded Interval Arithmetic and its Implementation . . . . . . . . . . 62 10.14Interval Projected Polyhedron Algorithm . . . . . . . . . . . . . . . . . . . . . 65 10.15Interval Newton method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 Bibliography 72 Reading in the Textbook • Chapters 4 and 5, pp. 73 - 160 2