Results 11 to 20 of about 38,162 (310)

Upper bounds on the solution of coupled algebraic riccati equation

open access: yesJournal of Inequalities and Applications, 2001
Upper bounds for eigenvalues of a solution to continuous time coupled algebraic Riccati equation (CCARE) and discrete time coupled algebraic Riccati equation (DCARE) are developed as special cases of bounds for the unified coupled algebraic Riccati ...
Czornik Adam, Świerniak Andrzej
doaj   +1 more source

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

Algebraic solutions of Jacobi equations [PDF]

open access: yesMathematics of Computation, 2009
We propose an algorithm to compute exactly the algebraic solutions of Jacobi equations over the projective plane.
S. C. Coutinho, Marcos da Silva Ferreira
openaire   +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

An algebraic classification of solution generating techniques

open access: yesPhysics Letters B, 2021
We consider a two-fold problem: on the one hand, the classification of a family of solution-generating techniques in (modified) supergravity and, on the other hand, the classification of a family of canonical transformations of 2-dimensional σ-models ...
Riccardo Borsato   +2 more
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 general solutions of algebraic ordinary differential equations [PDF]

open access: yesProceedings of the 2005 international symposium on Symbolic and algebraic computation, 2005
In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For a first order autonomous ODE, we give an optimal bound for the degree of its algebraic general solutions and a polynomial-time algorithm to compute an algebraic general solution if it exists.
J. M. Aroca   +3 more
openaire   +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

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

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