I read in a book that Rajaraja I visited North Karnataka and to my knowledge I happen to compare these two temples.
So Raja raja might have Constructed the temple similar to the temple at Lakkundi
Please post your Comments.
This temple was constructed by ganga Dynasty.Lakkundi Brahma Jinalaya is a Jain temple situated at Lakkundi village in Gadag District of Karnataka. It was constructed by Attimabbe, wife of Nagadeva who was a chieftain of Chalukya King Ahavamalla. The sacred sanctum of the temple houses the main deity of Vardhaman Mahavir, the last Jain Tirthankar. The temple is an outstanding example of the Karnataka style of architecture.
Jaina temple at Naregal(Narayana temple) is the biggest Rashtrakuta temple in Karnataka, in Ron taluk of Gadag District was built during the period of Krishna III, by Padmabbarasi, the queen of Ganga Permadi Bhutayya in 950 A.D. It has a sikhara of Dravida vimana type over the garbhagriha http://en.wikipedia.org/wiki/File:Jain_Narayana_temple1_at_Pattadakal.jpg
If you are talking of the Bramma jinalaya in lakkankudi - i think its a 10th C structure of western chalukya. the resemblance is remarkable but surely the inspiration is the other way round. But let me double check and cnfm
In mysore there is a temple wich was constructed by a chettiar. When I was going through the ASI reports I found that. Rajendra fided some of the temples conneted with Sringeri.
If I visit ASI again I will try to trace the report and tell you.
The rudram and chamaka were written by Sringeri peetam!