Numerical Analysis Questions & Answers | |
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I'm not sure what you mean and I can't find 6b. Please formulate your question better.
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I'm still not sure what you mean. You need to explain this better. What do you mean by 1 division? division of what by what? You need to be more clear. |
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In this case, you have to find the order of convergence using the results obtained in (a). That is, don't derive an analytical expression for $p$, but find $p$ from the results. Hint: $p$ may change as the solution progresses towards the root. You can find the root (needed to evaluate the error) through the results as well. Good question: 2 points bonus.
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Well, solving a system of equations with the secant method is not so different to solving a single equation. When solving a single equation, the derivative $f^\prime$ is replaced by a first-order approximation. Do the same here and use very small $\Delta x$ and $\Delta y$ for the first iteration. 1 point bonus.
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You're not doing anything wrong. If you would answer this in the exam, you would get full points. But, in general, we do not know what the exact root is. Thus, it is necessary to approximate it as the solution at the next iteration. If using the solution at the next iteration (i.e. 4.573738E+00) as the root, you'll get the answer listed. I made this more clear within the question formulation. 2 points bonus.
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$\pi$ |