The absolute convergence of left product representations for = A(t)

It was shown in [Quart. Appl.Math. LXI (2003) 537–564] that the fundamental matrix of solutions for a system = A(t ) possesses three left ordered product representations. Here, for each product, we derive a sufficient condition for its absolute convergence by first constructing a scalar fixed point problem and then computing its positive solution.  2004 Elsevier Inc. All rights reserved.