1.09c Formal iterative c) Be able to solve equations approximately using MI2 methods simple iterative methods, and be able to draw associated cobweb and staircase diagrams. 1.09d d) Be able to solve equations using the method and other recurrence relations of the form . 1.09e e) Understand and be able to show how such methods can fail. In particular, learners should know that: 1. the iteration converges to a root at if , and ifis sufficiently close to; 2. the Newton-Raphson method will fail if the initial value coincides with a stationary point.
1.09c 1.09d 1.09e Formal iterative methods c) Be able to solve equations approximately using simple iterative methods, and be able to draw associated cobweb and staircase diagrams. d) Be able to solve equations using the method and other recurrence relations of the form . e) Understand and be able to show how such methods can fail. In particular, learners should know that: 1. the iteration converges to a root at if , and ifis sufficiently close to; 2. the Newton-Raphson method will fail if the initial value coincides with a stationary point. MI2
415109-section-1.09-numerical-methods-delivery-guide.docx