Question

Numerical methods are implementations of mathematical algorithms, but constructed with special consideration for accuracy of solutions and computational run-time. The order in which we implement floating point arithmetic for any numerical method will effect the accuracy of the final computed value. For this reason, extra thought must be placed on our basic mathematical operations. In this problem, you are asked to add-up the values in a large array called data. How should you do this to achieve the most accurate final sum

Answer 1

find detailed description of algorithms (direct and iterative methods) in books [8], [3], [24]. We limit ourself to only selected problems and methods which are important in chemical engineering. 1.2.1 Conditioning of a system of linear equations We do not compute accurately because of rounding errors, which affect results of calcu-lations.

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