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

Algorithm 4

FGL-GMRES-DR.

	Input:, . Choose , , and initial guesses
	Output: such that
(1)	, ,
(2)	Apply Algorithm 2 to generate , , such that
(3)	Solve for . Set ,
(4)	whiledo
(5)	Compute the smallest eigenpairs of .
(6)
(7)
(8)
(9)
(10)	Apply steps of Algorithm 2 with the starting rectangular matrix , such that with
(11)	with
(12)
(13)
(14)	endwhile