auxiliary equation

noun Mathematics.

Definition for auxiliary-equation (2 of 2)

characteristic equation


  1. the characteristic polynomial of a given matrix, equated to zero.
  2. Also called auxiliary equation. an equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the coefficient and power of the variable in each term correspond to the coefficient and order of a derivative in the original equation.

Origin of characteristic equation

First recorded in 1920–25 Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019