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Linear difference equation
Known as:
Linear recurrence
In mathematics and in particular dynamical systems, a linear difference equation or linear recurrence relation equates 0 to a polynomial that is…
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Related topics
Related topics
13 relations
Abel–Ruffini theorem
Autoregressive model
Degree of a polynomial
Equation solving
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Papers overview
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2018
2018
Terms in prime position in a recurrent sequence
Julian Rosen
2018
Corpus ID: 53603364
For a sequence $a_n$ satisfying a linear recurrence relation over $\mathbb{Q}$, we prove some results about the residue classes…
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2018
2018
On Second-Order Linear Sequences of Composite Numbers
D. Ismailescu
,
Adrienne Ko
,
Celine Lee
,
Jae Yong Park
Journal of Integer Sequences
2018
Corpus ID: 119310863
In this paper we present a new proof of the following 2010 result of Dubickas, Novikas, and Siurys: Let $(a,b)\in \mathbb{Z}^2…
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2016
2016
Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind
P. Natalini
,
P. Ricci
2016
Corpus ID: 73693687
The use of functions, expressible in terms of Lucas polynomials of the second kind, allows us to write down the solution of…
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2007
2007
The quartic analog to the RSA cryptosystem
T. J. Wong
,
M. Said
,
K. A. Atan
,
Bekbaev Ural
2007
Corpus ID: 73682934
This paper reports an investigation into a public key cryptosystem, which is derived from a fourth order linear recurrence…
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2007
2007
On the Design and Analysis of Stream Ciphers
Martin Hell
2007
Corpus ID: 33270257
This thesis presents new cryptanalysis results for several different stream cipher constructions. In addition, it also presents…
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2003
2003
Solving Linear Recurrence Systems Using Level 2 and 3 BLAS Routines
Przemysław Stpiczyński
Parallel Processing and Applied Mathematics
2003
Corpus ID: 12402786
The aim of this paper is to present a new efficient BLAS-based algorithm for solving linear recurrence systems with constant…
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Review
2003
Review
2003
Construction and decoding of BCH Codes
2003
Corpus ID: 2044840
BCfi wdes over arbitrary finite ~~~nirnut:!tiv~ rings with identity arc drip& in LCF~S of their locator vector, The derivation is…
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2001
2001
A New Message Passing Algorithm for Solving Linear Recurrence Systems
Przemysław Stpiczyński
Parallel Processing and Applied Mathematics
2001
Corpus ID: 23062335
In this paper we present a new efficient algorithm for solving linear recurrence systems with constant coefficients on…
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1999
1999
A Macsyma implementation of Zeilberger's fast algorithm.
F. Caruso
1999
Corpus ID: 14977600
We present the first implementation within the Macsyma computer algebra system of Zeilberger’s fast algorithm for the definite…
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1987
1987
A basis of the set of sequences satisfying a given m-th order linear recurrence.
C. Levesque
1987
Corpus ID: 125336091