MACM 316 Study Guide - Final Guide: Matrix Exponential
20 Jun 2019
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A) following graph correspond to the algorithm used to calculate the matrix exponential by summing the first k terms of the infinite series. Figure 2: when k=150: figure 3: linear relationship between computational time. Computational time is depended on k. as k gets bigger, the time required would be longer. In the other words, as the terms of k increased, time increased as well. Therefore, we get a positive slop as we can see in the graph. The amount of floating point operations is directly proportional to the computational time. Since the time of computation increases as k increases, the total time of computation would increase. Furthermore, as k increases, the number of floating point operations also increases which leads to a linear relationship. The graph represents the linear relationship of the computational time versus the number of terms: figure 4: error in experimental exponential and theoretical exponential for some value, k.
