Convergence of asynchronous block Newton methods for solving nonlinear systems of equations of the form F (x) = 0 are studied. Sufficient conditions to guarantee their local convergence are given. Our analysis emphasizes the connection between the conditions on F involved in local convergence theorems for sequential and synchronous block Newton’s method, and our settings for asynchronous block ...

The concept of parity check matrices of linear binary codes has been extended by Heden [9] to parity check systems of nonlinear binary codes. In the present paper we extend this concept to parity check systems of nonlinear codes over finite commutative Frobenius rings. Using parity check systems, results on how to get some fundamental properties of the codes are given. Moreover, parity check sy...

For this purpose a finite element model specifically developed for the nonlinear analysis of steel-concrete composite beams is adopted. This finite element model includes material nonlinearity of slab concrete, reinforcement steel, beam steel as well as slabbeam nonlinear partial interaction due to the deformable shear connection. The inclusion of the partial interaction in the composite beam m...

The structure of a stochastic nonlinear gene regulatory network is uncovered by studying its response to input signal generators. Four applications are studied in detail: a nonlinear connection of two linear systems, the design of a logic pulse, a molecular amplifier and the interference of three signal generators in E2F1 regulatory element. The gene interactions are presented using molecular d...

An energy transfer analysis of turbulent plane Couette ow is performed. It is found that nonlinear interaction between the 0; 1] modes is principally responsible for maintaining the mean streamwise turbulent velocity proole. The 0; 1] modes extract energy from the laminar ow by linear non-modal growth mechanisms and transfer it directly to the mean ow mode. The connection of this work to linear...

In this paper, nonholonomic gerbes will be naturally derived for manifolds and vector bundle spaces provided with nonintegrable distributions (in brief, nonholonomic spaces). An important example of such gerbes is related to distributions defining nonlinear connection (N–connection) structures. They geometrically unify and develop the concepts of Riemann–Cartan manifolds and Lagrange–Finsler sp...

This paper addresses the stabilization issue of a class of switched nonlinear systems where each mode may be non-minimum phase, and the states of linearized dynamics of all modes compose the whole state space. Time dependent and state dependent stabilization switching laws are provided with considering both common and multiple Lyapunov functions. The new results are applied to aggregation probl...

We show that locally diffeomorphic exponential maps can be defined for any second-order differential equation, and give a (possibly nonlinear) covariant derivative for any (possibly nonlinear) connection. We introduce vertically homogeneous connections as the natural correspondents of homogeneous second-order differential equations. We provide significant support for the prospect of studying no...

The problem of expressing a given nonlinear statespace system as the cascade connection of a lossless system and a stable, minimum-phase system (inner-outer factorization) is solved for the case of a stable system having state-space equations affine in the inputs. The solution is given in terms of the stabilizing solution of a certain Hamilton-Jacobi equation. The stable, minimum-phase factor i...

The main purposes of this article are to extend our previous results on homogeneous sprays [13] to arbitrary (generalized) sprays, to show that locally diffeomorphic exponential maps can be defined for any (generalized) spray, and to give a (possibly nonlinear) covariant derivative for any (possibly nonlinear) connection. In the process, we introduce vertically homogeneous connections. Unlike h...