What was found
APPROX 5 HRS INTO FLIGHT BOTH FMCS WENT BLANK AND FMC P/RST LIGHT ILLUMINATED. NO VTK OF MAP FLAGS WERE NOTICED ON EITHER NAV DISPLAYS. APPROX 1 MIN LATER. BOTH FMCS RETURNED TO NORMAL OPERATION. GROUNDED - YES. PERFORMED B737-900 FIM 34-61 TASK 807 A-E. CHECK OK. BOTH FMCS' OPERATIONAL. VERIFIED BOTH FMC SOFTWARE CONFIGURATION CHECK MATCHED WITHIN EACH OTHER REF B737-900 AMM 34-61-00-750-801. MATCHED.