There is no difference in the optimization method for home page and inner page. But it is a good approach to start optimization for home page with primary keywords followed by inner pages with appropriate keywords.
I have Same view on the Topic ..
As Both Are treated As Different Web pages to show off with different queries or product related queries So SEO Process is Same for Both Home as Well Inner pages .
Even I have Experience , A Website have Visibility with Searches for their Inner pages while Home pages Ranking is Disturb "I means to say may inner pages are well optimized and ranked well while doing good seo for that and on the other hand process for doing seo for home page consist infraction and that's why disturb with a drop in ranking "
We Can Say A page Should be optimized So that It Able to Show Its mark Individually. SEO for Every Web page is Equally Important .