2 results about "Matrix differential equation" patented technology

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation contains more than one function stacked into vector form with a matrix relating the functions to their derivatives. For example, a first-order matrix ordinary differential equation is 𝐱(t)=𝐀(t)𝐱(t) where 𝐱(t) is an n×1 vector of functions of an underlying variable t, 𝐱(t) is the vector of first derivatives of these functions, and 𝐀(t) is an n×n matrix of coefficients.