Results 221 to 230 of about 73,251 (265)

Short Solutions to Nonlinear Systems of Equations

2018
This paper presents a new hard problem for use in cryptography, called Short Solutions to Nonlinear Equations (SSNE). This problem generalizes the Multivariate Quadratic (MQ) problem by requiring the solution be short; as well as the Short Integer Solutions (SIS) problem by requiring the underlying system of equations be nonlinear.
Alan Szepieniec, Bart Preneel
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On the Integration of a Nonlinear System of Differential Equations

Ukrainian Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weakly Nonlinear Systems of Integrodifferential Equations

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boichuk, O. A., Golovats'ka, I. A.
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Nonlinear Systems of Equations

2013
An important problem in engineering and other domains of activity is the solution of nonlinear systems of algebraic equations. In this chapter we present some applications involving nonlinear systems of equations. We focus on a GAMS representation of these applications and on their local solutions given by CONOPT, KNITRO, MINOS, and SNOPT.
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Enclosing the solutions of nonlinear systems of equations

International Journal of Computer Mathematics, 2000
The quadratically convergent Newton-type methods and its variants are generally used for solving the nonlinear systems of equations. Most of these methods use the convexity conditions [7] of the involved bounded linear operators for their convergence. Alefeld and Herzberger [1] have proposed a quadratically convergent iterative method for enclosing the
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Algorithm of simplification of nonlinear equations systems

ACM SIGSAM Bulletin, 1992
The recent years have seen the development of automatic methods for the resolution of nonlinear equations systems. The standard numerical approach, when faced with a nonlinear equation system, is to solve it by Newton-Raphson method, that requires the expensive calculation of the Jacobian matrix of the system.
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Interpolative Solution of Systems of Nonlinear Equations

SIAM Journal on Numerical Analysis, 1966
This paper presents an iterative method for numerical solution of a system of n nonlinear functional equations in n unknowns, by repeated linear interpolation. It is a variation of Newton’s method, in which the partial derivatives are replaced by the multidimensional analogues of difference quotients.
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Systems of Nonlinear Fractional Differential Equations

Fractional Calculus and Applied Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A nonlinear system of equations

2018
Peer ...
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Numerical Solution of Systems of Nonlinear Equations

Journal of the ACM, 1963
Ferdinand Freudenstein, Bernhard Roth
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