Solving Deconstructed Matrix Ordinary Differential Equations
The process of solving the above equations and finding the required functions, of this particular order and form, consists of 3 main steps. Brief descriptions of each of these steps are listed below:
- Finding the eigenvalues
- Finding the eigenvectors
- Finding the needed functions
The final, third, step in solving these sorts of ordinary differential equations is usually done by means of plugging in the values, calculated in the two previous steps into a specialized general form equation, mentioned later in this article.
Read more about this topic: Matrix Differential Equation
Famous quotes containing the words solving, matrix, ordinary and/or differential:
“There are horrible people who, instead of solving a problem, tangle it up and make it harder to solve for anyone who wants to deal with it. Whoever does not know how to hit the nail on the head should be asked not to hit it at all.”
—Friedrich Nietzsche (18441900)
“In all cultures, the family imprints its members with selfhood. Human experience of identity has two elements; a sense of belonging and a sense of being separate. The laboratory in which these ingredients are mixed and dispensed is the family, the matrix of identity.”
—Salvador Minuchin (20th century)
“The most ordinary word, when put into place, suddenly acquires brilliance. That is the brilliance with which your images must shine.”
—Robert Bresson (b. 1907)
“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”
—Antonin Artaud (18961948)