compendium vs summary

compendium and summary both are nouns.

Word	Noun	Adjective	Verb	Adverb
compendium	Yes	No	No	No
summary	Yes	Yes	No	No

As nouns, summary is a hypernym of compendium; that is, summary is a word with a broader meaning than compendium:

Other hypernyms of compendium include sum-up.

compendium (noun)	summary (noun)
a concise but comprehensive summary of a larger work	a brief statement that presents the main points in a concise form
a publication containing a variety of works

compendium (adjective)	summary (adjective)
	briefly giving the gist of something
	performed speedily and without formality