Origin of eigenvaluepartial translated, translation of German eigenwert from eigen, own, particular + wert, value
Origin of eigenvaluePartial translation of German Eigenwert eigen- peculiar, characteristic ( from eigen own ) ( from Middle High German) ( from Old High German eigan ; see aik- in Indo-European roots.) Wert value
When unqualified, as in the above example, eigenvalue conventionally refers to a right eigenvalue, characterised by for some right eigenvector . Left eigenvalues, charactarised by also exist with associated left eigenvectors . For commutative operators, the left eigenvalues and right eigenvalues will be the same, and are referred to as eigenvalues with no qualifier.
eigen- + value