Most eigenstructure-based blind channel identification and equalization algorithms with second-order statistics need SVD or EVD of the correlation matrix of the received signal. In this paper, we address new algorithms based on QR factorization of the received signal directly without calculating the correlation matrix. This renders the QR factorization-based algorithms more robust against ill-c...

As is well-known factorization is an important property of QCD whithout which we would not be able to calculate form factors or cross sections. Factorization into a hard parton-level subprocess to be calculated from perturbative QED and/or QCD, and soft hadronic matrix elements which are subject to non-perturbative QCD and are not calculable at present, has been shown to hold for a number of re...

Equivalent conditions are given for the regularity of a factorization of a contraction, two of which exhibit immediately the duality property of this notion. The concept of regular factorization of contractions of Hubert spaces1 was introduced in [1] by the authors in connection with their investigations on the invariant subspace problem; cf. [2, §VIL3]. Let A0 be a contraction of a Hubert spac...

We prove that the K-k-Schur functions are part of a family inhomogenous symmetric whose top homogeneous components Catalan functions, Euler characteristics certain vector bundles on flag variety. Lam-Schilling-Shimozono identified as Schubert representatives for K-homology affine Grassmannian SLk+1. Our perspective reveals satisfy shift invariance property, and we deduce positivity their branch...

A groupoid is a small category in which all morphisms are isomorphisms. An inductive specialized whose object set regular biordered and the admit partial order. normal strict preorder factorization property. pair of ‘related’ categories constitutes cross-connection. Both groupoids cross-connections were identified by Nambooripad as categorical models semigroups. We explore inter-relationship be...

in this paper, we consider an arbitrary binary polynomial sequence {a_n} and then give a lower triangular matrix representation of this sequence. as main result, we obtain a factorization of the in nite generalized pascal matrix in terms of this new matrix, using a riordan group approach. further some interesting results and applications are derived.

in this paper‎, ‎we determine the simple groups $g=ab$‎, ‎where $b$ is isomorphic to $l_{3}(4)$ and $a$ isomorphic to an alternating or a symmetric group on $ngeq5$‎, ‎letters‎.

A new algorithm is introduced which computes the multivariate leading coefficients of polynomial factors from their univariate images. This algorithm is incorporated into a sparse Hensel lifting scheme and only requires the factorization of a single univariate image. The algorithm also provides the content of the input polynomial in the main variable as a by-product. We show how we can take adv...

We show that a generalization of Stanley-Féray character formula for characters of symmetric groups holds true for skew Young diagrams. This generalization is very useful for dealing with asymptotic questions; for example we use it to show that balanced skew Young diagrams have the asymptotic property of approximate factorization of characters and therefore the fluctuations of a randomly select...

In this paper, vibration control is performed by using piezoelectric elements which are one of the smart actuator. An operator-based robust nonlinear control system by using robust right coprime factorization approach and a nonliliner property of hysteresis model is proposed. Considering the hysteresis in the piezoelectric actuator, assuming that an aircraft vertical tail is forced vibration mo...