The problem of obtaining starting values for the Newton-Raphson calculation of √x on a digital computer is considered. It is shown that the conventionally used best uniform approximations to √x do not ...

Tensegrity structures are geometric nonlinear systems and statically and kinematically indeterminate structures that require an initial shape-finding procedure to establish a self-equilibrium state.

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The intricate internal structure of fuel rods results in a non-uniform mass distribution, making it imperative to employ analytical methods for accurate assessment. The study utilizes Euler beam ...

Laboratory of Civil Engineering and Mechanics, Department of Civil Engineering, National Advanced School of Engineering at Yaounde, The University of Yaounde I, Yaounde, Cameroon. The current theory ...

A cubic equation is an algebraic expression that involves the variable of the highest degree as a cube. It has the general form ax^3 + bx^2 + cx + d = 0, where a, b, c, and d are constants and x ...

Abstract: This work presents a derivation of the Newton-Raphson method, treated here as the Quasi-Newtonian (QN) algorithm. The QN has the same proprieties as the traditional Newton-Raphson method for ...