MTH603 Assignment 2 Solution Spring 2022: It is that quantity of error that is present in the statement of the problem itself, before finding its solution. It arises due to the simplified assumptions made in the mathematical modeling of a problem. It can also arise when the data is obtained from certain physical measurements of the parameters of the problem.
Every computer has a finite word length and therefore it is possible to store only a fixed number of digits of a given input number. Since computers store information in binary form, storing an exact decimal number in its binary form in the computer memory gives an error. This error is computer-dependent. MTH603 Assignment 2 Solution Spring 2022
At the end of the computation of a particular problem, the final results in the computer, which is obviously in binary form, should be converted into a decimal form-a form understandable to the user before their printout. Therefore, an additional error is committed at this stage too. Here in the solved example, neither accuracy is mentioned nor a number of iterations are mentioned by when you are provided with the number of iterations then you will carry those number of iterations and will stop but the second case is accuracy like you are asked to. MTH603 Assignment 2 Solution Spring 2022
This method has a great advantage over other methods in that it does not require prior information about approximate values etc. of the roots. But it is applicable to polynomials only and it is capable of giving all the roots. Let us see the case of the polynomial equation having real and distinct roots.
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