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In mathematics, a recurrence relation is an equation according to which the n {\displaystyle n} th term of a sequence of numbers is equal to some combination...

linear algebra, and dynamical systems), a linear recurrence with constant coefficients: ch. 17 : ch. 10  (also known as a linear recurrence relation or...

equation is called a linear recurrence relation. The concept is also known as a linear recurrence sequence, linear-recursive sequence, linear-recurrent sequence...

applied to this differential equation with step size h yields a linear recurrence relation with characteristic polynomial π ( z ; h λ ) = ( 1 − h λ β s )...

linear recurrence relation of the form x k = n x k − 1 + x k − 2 . {\displaystyle x_{k}=nx_{k-1}+x_{k-2}.} It follows that, given such a recurrence the...

\;k=0,1,\ldots } is a sequence of functions that satisfy the linear recurrence relation ϕ k + 1 ( x ) = α k ( x ) ϕ k ( x ) + β k ( x ) ϕ k − 1 ( x )...

Miller's recurrence algorithm is a procedure for calculating a rapidly decreasing solution of a linear recurrence relation developed by J. C. P. Miller...

algorithm that can solve this problem. A linear recurrence relation expresses the values of a sequence of numbers as a linear combination of earlier values; for...

nonlinear recurrence relation defines successive terms of a sequence as a nonlinear function of preceding terms. Examples of nonlinear recurrence relations...

of the hypercube. These numbers can also be generated by the linear recurrence relation. E m , n = 2 E m , n − 1 + E m − 1 , n − 1 {\displaystyle E_{m...

coefficients of a Taylor series of any rational function satisfy a linear recurrence relation, which can be found by equating the rational function to a Taylor...

f ( x ) = 0 {\displaystyle f(x)=0} identically, this gives a linear recurrence relation with characteristic equation r 2 + 4 r − 5 = ( r − 1 ) ( r + 5...

This is a linear recurrence relation. The method is A-stable if all solutions { y n } {\displaystyle \{y_{n}\}} of the recurrence relation converge to...

V_{n}({\sqrt {R}},Q)=a^{n}+b^{n}} for n even. Lehmer numbers form a linear recurrence relation with U n = ( R − 2 Q ) U n − 2 − Q 2 U n − 4 = ( a 2 + b 2 ) U...

holonomic sequence is a sequence of numbers that may be generated by a recurrence relation with polynomial coefficients. The coefficients of the Taylor series...

Scotland Keith number, an integer that appears as a term in a linear recurrence relation with initial terms based on its own digits Kieth, a list of people...

arithmetic by storage-bit truncation. The generator is defined by the recurrence relation: X n + 1 = ( a X n + c ) mod m {\displaystyle X_{n+1}=\left(aX_{n}+c\right){\bmod...

Historic recurrence is the repetition of similar events in history. The concept of historic recurrence has variously been applied to overall human history...

series at any point satisfy a linear recurrence relation with polynomial coefficients, and that this recurrence relation may be computed from the differential...

Störmer method applied to this differential equation leads to a linear recurrence relation x n + 1 − 2 x n + x n − 1 = h 2 w 2 x n , {\displaystyle...