In this work we spoke about the method of construction of models nonlinear by parameters with solution of system of nonlinear algebraic equations by combination of methods. We observed that method of shortest downhill is though universal, but rough for obtaining amplified values, we can use more subtle NewtonRafson’s method but we must take into account initial meanings of parameters rather clo...

In this paper we consider the bifurcations that occur at the trivial equilibrium of a general class of nonlinear Leslie matrix models for the dynamics of a structured population in which only the oldest class is reproductive. Using the inherent net reproductive number n as a parameter, we show that a global branch of positive equilibria bifurcates from the trivial equilibrium at n = 1 despite t...

Specifically, we discussed estimation of the model parameters, measurements of uncertainty in these estimates and the predicted values, and the use of confidence intervals or significance tests to assess the significance of parameters. Through the matrix formulation, we essentially saw that in linear models (where the model is a linear function of the parameters), the estimates of linear functi...

A fundamental problem in statistics is to develop models based on a sample of observations and drawing inferences using the model so developed. In growth modeling, data are usually collected over time. One characteristic of such data is that the successive observations are dependent. Each observation of the observed data series Yt may be considered as a realization of a stochastic process {Yt},...

this paper examines differences in performances of a range of torsionally stiff and flexible single story buildings designed with the provisions of iranian standard 2800. seismic nonlinear dynamic time history behavior of eight building models subjected to seven horizontal bi-directional design spectra compatible ground motions are investigated. these models cover a wide range of very torsional...

in this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. to approach this aim the analytical formulas of secant stiffness matrix are presented. the models were validated and used to perform inve...