simplex method vs algorithm

simplex method and algorithm both are nouns.

Word	Noun	Adjective	Verb	Adverb
simplex method	Yes	No	No	No
algorithm	Yes	No	No	No

As nouns, algorithm is a hypernym of simplex method; that is, algorithm is a word with a broader meaning than simplex method:

simplex method: a method for solving problems in linear programming that tests adjacent vertices of the feasible set in sequence so that at each new vertex the objective function improves or is unchanged.
algorithm: a precise rule (or set of rules) specifying how to solve some problem

Other hypernyms of simplex method include algorithmic program, algorithmic rule.

simplex method (noun)	algorithm (noun)
a method for solving problems in linear programming that tests adjacent vertices of the feasible set in sequence so that at each new vertex the objective function improves or is unchanged.	a precise rule (or set of rules) specifying how to solve some problem