A matrix difference equation is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related...

difference equation and Matrix difference equation for example of uses of "difference equation" instead of "recurrence relation" Difference equations resemble...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations. The matrix is used in solving systems...

derivatives of various orders. A matrix differential equation contains more than one function stacked into vector form with a matrix relating the functions to...

{1} \,.} Density matrix Markov kernel, the equivalent of a stochastic matrix over a continuous state space Matrix difference equation Models of DNA evolution...

17 : ch. 10  (also known as a linear recurrence relation or linear difference equation) sets equal to 0 a polynomial that is linear in the various iterates...

finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences....

the matrix of coefficients of the highest-order differential operators of the equation. For elliptic partial differential equations this matrix is positive...

Mandelbrot set Recurrence relation Matrix difference equation Rational difference equation Examples of differential equations Autonomous system (mathematics)...

In quantum mechanics, a density matrix (or density operator) is a matrix used in calculating the probabilities of the outcomes of measurements performed...

frequency. To determine the matrix elements, Heisenberg required that the classical equations of motion be obeyed as matrix equations, d X d t = P   , d P d...

The vector equation is equivalent to a matrix equation of the form A x = b {\displaystyle A\mathbf {x} =\mathbf {b} } where A is an m×n matrix, x is a column...

[f](x)=f(x+1)-f(x).} A difference equation is a functional equation that involves the finite difference operator in the same way as a differential equation involves...

entire number line is the basin of attraction. Likewise, a linear matrix difference equation in a dynamic vector X {\displaystyle X} , of the homogeneous form...

invariant solutions of the matrix valued Riccati difference equation (which is the analogue of the Riccati differential equation in the context of discrete...

R} is the scattering matrix and if it satisfies the Yang–Baxter equation then the system is integrable. The Yang–Baxter equation also shows up when discussing...

polynomial of the matrix is given by the Euler–Lotka equation. The Leslie model is very similar to a discrete-time Markov chain. The main difference is that in...

the endothelial cells. This fibre matrix endocapillary layer is called the endothelial glycocalyx.The Starling equation describes that relationship in mathematical...

finite difference coefficients of arbitrary derivates and accuracy order in one dimension is available. Given that the left-hand side matrix J T {\displaystyle...

I} is the identity matrix, and v ≠ 0 {\displaystyle \mathbf {v} \neq \mathbf {0} } (although the zero vector satisfies this equation for every λ , {\displaystyle...

In mathematics, a linear differential equation is a differential equation that is linear in the unknown function and its derivatives, so it can be written...

A rational difference equation is a nonlinear difference equation of the form x n + 1 = α + ∑ i = 0 k β i x n − i A + ∑ i = 0 k B i x n − i   , {\displaystyle...

be found by stacking into matrix form a set of equations consisting of the above difference equation and the k – 1 equations x t − 1 = x t − 1 ,   … ,...

differential equations) depend upon the direct solution of matrix equations involving matrices more general than tridiagonal matrices. These matrix equations can...

differential equations List of dynamical systems and differential equations topics Matrix differential equation Numerical partial differential equations Partial...

of linear differential equations. In the theory of Lie groups, the matrix exponential gives the exponential map between a matrix Lie algebra and the corresponding...

roots of characteristic polynomials, the Leslie matrix in population dynamics, matrix difference equations and Markov chains, recurrences in modular arithmetic...

differenced d times and one has a VAR in difference. One can stack the vectors in order to write a VAR(p) as a stochastic matrix difference equation,...

In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including...