International Journal of Mathematics and Mathematical Sciences / 2012 / Article / Tab 3

Research Article

Approximation of the pth Roots of a Matrix by Using Trapezoid Rule

Table 3

Comparison absolute error for different numbers of points for different matrices.

No. of points Schur decomposition Eigenvalue decomposition Hessenberg decomposition

2 4.235476891477593 3.617696711330309 9.018271218363070
4 7.642822555078070 2.268548808462573 85.569768110351674
8 6.509731621793472 16.059530670734521 0.951463218971532
16 0.035910610643974 0.342929548483509 0.001435059307873
32 0.000002770887073 0.342929548483509 0.000000210760699
64 0.000000000000375 0.003429295484835 0.000000000000349
128 0.000000000000002 0.003429295484835 0.000000000000002
256 0.000000000000002 0.003429295484835 0.000000000000002
512 0.000000000000004 0.003429295484835 0.000000000000003
1024 0.000000000000001 0.000342929548484 0.000000000000000

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