# characteristic equation

characteristic equation
noun Date: circa 1925 an equation in which the characteristic polynomial of a matrix is set equal to 0

New Collegiate Dictionary. 2001.

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• Characteristic equation — may refer to: Characteristic equation (calculus), used to solve linear differential equations Characteristic equation, a characteristic polynomial equation in linear algebra used to find eigenvalues Characteristic equation, a polynomial used to… …   Wikipedia

• characteristic equation — būdingoji lygtis statusas T sritis automatika atitikmenys: angl. characteristic equation; performance equation vok. charakteristische Gleichung, f; Stammgleichung, f rus. характеристическое уравнение, n pranc. équation caractéristique, f …   Automatikos terminų žodynas

• characteristic equation — būdingoji lygtis statusas T sritis fizika atitikmenys: angl. characteristic equation; performance equation vok. charakteristische Gleichung, f rus. характеристическое уравнение, n pranc. équation caractéristique, f …   Fizikos terminų žodynas

• Characteristic equation (calculus) — In mathematics, the characteristic equation (or auxiliary equation[1]) is an algebraic equation of degree on which depends the solutions of a given th order differential equation.[2] The characteristic equation can only be formed when the… …   Wikipedia

• characteristic equation — noun : an equation in which the characteristic polynomial of a matrix is set equal to 0 * * * 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and… …   Useful english dictionary

• characteristic equation — 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. 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… …   Universalium

• Characteristic polynomial — This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its …   Wikipedia

• Équation caractéristique — En mathématiques, l’équation caractéristique (ou équation auxiliaire[1]) est une équation polynomiale de degré n dont dépend la solution[2] d une équation différentielle d ordre n. L équation caractéristique ne peut être formée que lorsque l… …   Wikipédia en Français

• équation caractéristique — būdingoji lygtis statusas T sritis automatika atitikmenys: angl. characteristic equation; performance equation vok. charakteristische Gleichung, f; Stammgleichung, f rus. характеристическое уравнение, n pranc. équation caractéristique, f …   Automatikos terminų žodynas

• équation caractéristique — būdingoji lygtis statusas T sritis fizika atitikmenys: angl. characteristic equation; performance equation vok. charakteristische Gleichung, f rus. характеристическое уравнение, n pranc. équation caractéristique, f …   Fizikos terminų žodynas