We apply and extend some well known and some recent tech niques from algebraic residue theory in order to relate to each other two major subjects of algebraic and numerical computing that is computa tions with structured matrices and solving a system of polynomial equa tions In the rst part of our paper we extend the Toeplitz and Hankel structures of matrices and some of their known properties ...

E. Abouzaid, M. Arenton, A. R. Barker, L. Bellantoni, A. Bellavance, E. Blucher, G. J. Bock, E. Cheu, R. Coleman, M. D. Corcoran, G. Corti, B. Cox, A. R. Erwin, C. O. Escobar, A. Glazov, A. Golossanov,* R. A. Gomes, P. Gouffon, K. Hanagaki, Y. B. Hsiung, H. Huang, D. A. Jensen, R. Kessler, K. Kotera, A. Ledovskoy, P. L. McBride, E. Monnier, K. S. Nelson, H. Nguyen, R. Niclasen, H. Ping, X. R. Q...

This paper presents an iterative blind channel estimation algorithm that exploits the parity check equations of a channel code. While with conventional pilots prior data knowledge is used to estimate the channel, the idea here is to exploit prior knowledge of the parity check equations of the code. Furthermore, if an asymmetric code is used, the inherent phase ambiguity of blind systems is avoi...

Abstract In this paper, the KdV-Sawada-Kotera-Ramani(KdVSKR) equation in various dimensions are studied. The bilinear form of (1+1)-dimensional and (2+1)-dimensional KdVSKR obtained by independent transformation. Based on Hirota method, we constructed new interaction solutions studying unknown nonlinear differential equations for corresponding parameters. Three dimensional plots, density plots ...

In this investigation, a novel (3+1)-dimensional Lax integrable Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation is constructed and analyzed analytically. The Painlevé integrability for the mentioned model examined. bilinear form applied investigating multiple-soliton solutions. Moreover, we employ positive quadratic function method to create class of lump solutions using distinct parameter...

this paper proposes a new approach for determining efficient dmus in dea models using inverse optimi-zation and without solving any lps. it is shown that how a two-phase algorithm can be applied to detect effi-cient dmus. it is important to compare computational performance of solving the simultaneous linear equa-tions with that of the lp, when computational issues and complexity analysis are a...

T. Alexopoulos, M. Arenton, R.F. Barbosa, ∗ A.R. Barker, † L. Bellantoni, A. Bellavance, E. Blucher, G.J. Bock, E. Cheu, S. Childress, R. Coleman, M.D. Corcoran, B. Cox, A.R. Erwin, R. Ford, A. Glazov, A. Golossanov, J. Graham, J. Hamm, K. Hanagaki, Y.B. Hsiung, H. Huang, V. Jejer, D.A. Jensen, R. Kessler, H.G.E. Kobrak, K. Kotera, J. LaDue, A. Ledovskoy, P.L. McBride, E. Monnier, ‡ H. Nguyen, ...

We discuss commuting flows and conservation laws for Lax hierarchies on noncommutative spaces in the framework of the Sato theory. On commutative spaces, the Sato theory has revealed essential aspects of the integrability for wide class of soliton equations which are derived from the Lax hierarchies in terms of pseudo-differential operators. Noncommutative extension of the Sato theory has been ...

This paper presents the analysis of a mechanical and theoretical model mi-cromechanical RL-type gyroscope (MMG). The behavior resonator in free oscil-lation mode is studied by solving problem linear formulation. main part devoted to mathematical development for dual-mass MMG with disk-shaped resonator, which fixed on elastic leg movable base. important condition implies arbitrary angular veloci...