In this paper an approach to on-line ARMA parameter estimation based on a pseudo-linear regression and a QR matrix decomposition is developed. The algorithm has proven to be stable and has fast convergence properties if the unknown ARMA model satisses the strictly positive real condition. The derivation of the algorithm is straightforward and the computational complexity is O(N 2), however, fas...

LetK be a nonempty closed convex subset of a real Hilbert space H , and assume that Ti : K → H, i = 1, 2...N be a finite family of ki-strictly pseudo-contractive mappings for some 0 ≤ ki ≤ 1 such that ⋂N i=1 F (Ti) = {x ∈ K : x = Tix, i = 1, 2...N} = ∅. For the following iterative algorithm in K, for x1, x ′ 1 ∈ K and u ∈ K, { yn = PK [kxn + (1− k)Σi=1λiTixn] xn+1 = βnxn + (1− βn)yn and { y′ n ...

Abstract We prove that every bijection preserving triple transition pseudo-probabilities between the sets of minimal tripotents two atomic JBW $$^*$$ ∗ -triples automatically preserves orthogonality in both directions. Consequently, each is precisely restriction a (complex-...

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This paper introduces a new averaged algorithm for finding a common fixed point of a countably infinite family of generalized k-strictly pseudocontractive multi-valued mappings. The new iterative sequence introduced is proved to be an approximating fixed point sequence for common fixed points of a countably infinite family of this class of mappings. Furthermore, under some mild assumptions, str...

In this paper, we will use the Kohn’s ∂̄b-theory on CRhypersurfaces to derive some new results in CR-geometry. Main Theorem. LetM2n−1 be the smooth boundary of a bounded strongly pseudo-convex domain Ω in a complete Stein manifold V 2n. Then: (1) For n ≥ 3, M2n−1 admits a pseudo-Einstein metric. (2) Forn ≥ 2,M2n−1 admits a Fefferman metric of zero CRQ-curvature. (3) In addition, for a compact st...

The class of quasi semi -convex functions and pseudo are presented in this paper by combining the with functions, respectively. Various non-trivial examples introduced to illustrate new show their relationships recently literature. Different general properties characteristics established. In addition, some optimality generalized non-linear optimization problems discussed. problems, we used, as ...