Research Article

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

Algorithm 3

FGL-GCRO-DR for solving sequences of slowly changing linear systems.
(1)Suppose that , and are defined from solving -th linear system linear and satisfy with .
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)Apply steps of Algorithm 2 with the starting rectangular matrix , such that with
(10) with
(11)
(12)
(13)