Durand–Kerner method: Difference between revisions

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== Example ==
This example is from the reference 1992. The equation solved is {{nowrap|1=''x''<sup>3</sup> − 3''x''<sup>2</sup> + 3''x'' − 5 = 0}}. The first 4 iterations move ''p'', ''q'', ''r'' seemingly chaotically, but then the roots are located to 1 decimal. After iteration number 5 we have 4 correct decimals, and the subsequent iteration number 6 confirms that the computed roots are fixed. This general behaviour is characteristic for the method. Also notice that, in this example, the roots are used as soon as they are computed in each iteration. In other words, the computation of each second column uses the value of the previous computed columns.
 
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