On Solving Pentadiagonal Linear Systems via Transformations

Table 1

Comparisons between our proposed algorithms and state-of-the-art algorithms in literature.

	and CPU time (S)
	PTRANS-I		PTRANS-II		Algorithm  3 [9]		(MATLAB)		SYMPENTAINV [7]
500	1.5856 × 10^−7	0.0069	0	0.0086	6.8579 × 10^−8	0.0048	9.98 × 10^−8	0.0023	1.5881 × 10^−7	0.3317
5000	8.3674 × 10^−4	0.0062	0	0.0391	3.0253 × 10^−4	0.0057	2.50 × 10^−4	0.7548	8.3654 × 10^−4	108.0919
10000	0.0058	0.0114	0	0.0511	0.0052	0.0101	0.0106	4.5464	0.0058	812.9783
50000	2.1415	0.0308	0	0.1687	7.9056	0.0119	0.0159	655.51	—	—