A Flexible Global GCRO-DR Method for Shifted Linear Systems and General Coupled Matrix Equations

Table 2

Performance comparisons for QCD matrices.

Problems		Method
		GL-GCRO-DR	FGL-GCRO-DR	GL-GMRES	FGL-GMRES	GL-GMRES-DR	FGL-GMRES-DR
Matrix 1	mvps	780	135	940	180		150
	T (s)	6.431	2.166	4.166	3.426		2.993
Matrix 2	mvps	431	83	480	100	490	90
	T (s)	3.328	1.618	2.129	1.754	3.464	1.741
Matrix 3	mvps	501	99	800	140	710	110
	T (s)	4.462	2.108	3.733	2.523	4.060	2.329
Matrix 4	mvps	541	100	620	140	530	110
	T (s)	4.090	2.115	2.722	2.551	3.525	2.127
Matrix 5	mvps	265	46	340	60	270	60
	T (s)	1.573	1.005	1.560	1.040	1.618	1.223
Matrix 6	mvps	803	148		240	820	170
	T (s)	5.033	3.463		4.414	5.468	3.521
Matrix 7	mvps	258	50	300	60	260	60
	T (s)	2.024	1.004	1.335	1.064	1.706	1.138