Results 11 to 20 of about 20,373 (115)

Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2022
It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
doaj   +1 more source

Analytical technique for solving the quadratic nonlinear oscillator

open access: yesResults in Physics, 2020
Recently, an approximate solution of the quadratic nonlinear oscillator has been presented based on the harmonic balance method. According to this method a set of nonlinear algebraic equations appear among the unknown coefficients of the several harmonic
Ismot Ara Yeasmin   +3 more
doaj   +1 more source

Nontrivial solutions of linear functional equations: methods and examples [PDF]

open access: yesOpuscula Mathematica, 2015
For a wide class of linear functional equations the solutions are generalized polynomials. The existence of non-trivial monomial terms of the solution strongly depends on the algebraic properties of some related families of parameters.
Adrienn Varga, Csaba Vincze
doaj   +1 more source

A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations

open access: yesAfrican Scientific Reports, 2022
This paper consider collocation approach for the numerical solution of Volterra-Fredholm Integro-differential equation using collocation method. We transformed the problem into a system of linear algebraic equations and matrix inversion is adopted to ...
G. Ajileye, F. A. Aminu
doaj   +1 more source

Algebraic Solution of Tropical Polynomial Optimization Problems

open access: yesMathematics, 2021
We consider constrained optimization problems defined in the tropical algebra setting on a linearly ordered, algebraically complete (radicable) idempotent semifield (a semiring with idempotent addition and invertible multiplication).
Nikolai Krivulin
doaj   +1 more source

The Use of Language in Solving Inverse Algebraic Functions Problems

open access: yesFrontiers in Education, 2022
ObjectiveThe aim of the present work was to investigate the use of verbal language applied to the solution of inverse function problems in comparison to the algebraic method in students of humanities.MethodsWe consider only algebraic functions in our ...
Ignacio Méndez-Balbuena   +10 more
doaj   +1 more source

Determination of Equilibrium Points for Steady State Conservative Models

open access: yesElectrical, Control and Communication Engineering, 2010
The development and a more sophisticated structure of electric power systems, the transition towards deregulation and competition between the participants of the electric energy market cause the necessity of a complex steady state analysis, the ...
Tatiana Panikovskaya
doaj   +1 more source

Maximal imaginery eigenvalues in optimal systems [PDF]

open access: yesModeling, Identification and Control, 1991
In this note we present equations that uniquely determine the maximum possible imaginary value of the closed loop eigenvalues in an LQ-optimal system, irrespective of how the state weight matrix is chosen, provided a real symmetric solution of the ...
David Di Ruscio
doaj   +1 more source

Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution

open access: yesIEEE Access, 2021
A modified discrete-time algebraic Riccati equation (MARE) is a discrete-time algebraic Riccati equation (DARE) for which the quadratic term is weighted by a modifying parameter $\alpha $ .
Alejandro J. Rojas
doaj   +1 more source

Representation of Algebraic Reasoning in Sets through Argumentation

open access: yesInternational Journal of Contemporary Educational Research, 2022
The purpose of the current study is to examine the ways in which preservice middle school mathematics teachers (PMSMT) apply and represent algebraic reasoning in their solution processes for the problems in the concept of sets.
Tugba Uygun, Pinar Guner
doaj   +1 more source

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