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Showing 1 to 6 of 6 for “"Linear Recurrence"”.

  1. The Divisibility and Modular Properties of Kth-Order Linear Recurrences Over The Ring of Integers of an Algebraic Number Field With Respect to Prime Ideals

    … Let k (GREATERTHEQ) 2 and let (w) be a kth-order linear recurrence over R satisfying the recursion relation (1) w(,n+k) = a(,1)w(,n+k-1) + a(,2)w(,n+k-2) +...+ a(,k)w(,n). Those recurrences (u) satisfying (1) for which u(,0) = u(,1) =...= u(,k-2) = 0 and u(,k) = 1 are called unit sequences. Let f …

    uiuc Repository record for The Divisibility and Modular Properties of Kth-Order Linear Recurrences Over The Ring of Integers of an Algebraic Number Field With Respect to Prime Ideals (opens in a new tab)

  2. Group-invariant CR mappings

    … associated to the lens spaces $L(p,q)$ satisfy a linear recurrence relation of order $2^q-1$ and no smaller. We also give explicit but complicated formulas for the coefficients. Finally, we explore connections with representation theory and invariant theory.

    uiuc Repository record for Group-invariant CR mappings (opens in a new tab)

  3. Scalable parallel tridiagonal algorithms with diagonal pivoting and their optimization for many-core architectures

    … which can be solved by high-performance parallel linear recurrence solvers. An Adaptive R-Cyclic Reduction algorithm introduces pivoting into the conventional R-Cyclic Reduction family, which commonly suffers limited quality of solutions due to no applicable pivoting. Our proposed algorithms can …

    uiuc Repository record for Scalable parallel tridiagonal algorithms with diagonal pivoting and their optimization for many-core architectures (opens in a new tab)

  4. ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ ΚΑΙ ΚΥΚΛΟΤΟΜΙΑ-ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ ΤΗΣ ΜΟΡΦΗΣ Χ + (Χ+1)

    … IN TERMS OF SUITABLE (NON-HOMOGENEOUS) LINEAR RECURRENCE SEQUENCES OF ORDER 2 (THEOREM 3.4.15). AS A CONSEQUENCE, ALL PRIMES OF THE SAME FORM IN A GIVEN INTERVAL CAN BE DETERMINED BY A SEIVING PROCEDURE (THEOREM 3.4.16).

    greece Repository record for ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ ΚΑΙ ΚΥΚΛΟΤΟΜΙΑ-ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ ΤΗΣ ΜΟΡΦΗΣ Χ + (Χ+1) (opens in a new tab)

  5. Bayesian singular spectrum analysis with state dependent models

    … which may be utilised for forecasting via a linear recurrent formula. However, many time series exhibit structural breaks which interfere with a linear continuation of the time series although the underlying data generating process may not have changed. In addition, in a multivariate setting …

    bournemouth Repository record for Bayesian singular spectrum analysis with state dependent models (opens in a new tab)

  6. Decision-feedback equalisation with fixed-lag smoothing in nonlinear channels.

    … results by applying the FLSDFE algorithm to linear and nonlinear channels, of minimum- or nonminimum-phase. In chapter 2 the FLSDFE formulae are derived for two classes of nonlinear digital communication channel, both described by truncated Volterra series. Section 2.3 treats the case of MPSK …

    adelaide Repository record for Decision-feedback equalisation with fixed-lag smoothing in nonlinear channels. (opens in a new tab)