Results 21 to 30 of about 19,939 (162)

A Story of Computational Science: Colonel Titus’ Problem from the 17th Century

open access: yesAxioms, 2022
Experimentation and the evaluation of algorithms have a long history in algebra. In this paper we follow a single test example over more than 250 years.
Trond Steihaug
doaj   +1 more source

Algebraic Cryptanalysis with MRHS Equations

open access: yesCryptography, 2023
In this work, we survey the existing research in the area of algebraic cryptanalysis based on Multiple Right-Hand Sides (MRHS) equations (MRHS cryptanalysis).
Pavol Zajac
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

A numerical approach for investigating a special class of fractional Riccati equation

open access: yesResults in Physics, 2020
A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation.
Bothayna S. Kashkari, Muhammed I. Syam
doaj   +1 more source

Equations in Algebras

open access: yesInternational Journal of Algebra and Computation, 2018
We show that the Diophantine problem (decidability of equations) is undecidable in free associative algebras over any field and in the group algebras over any field of a wide variety of torsion free groups, including toral relatively hyperbolic groups, right-angled Artin groups, commutative transitive groups, the fundamental groups of various graph ...
Kharlampovich, Olga, Myasnikov, Alexei
openaire   +2 more sources

The Enhanced Fixed Point Method: An Extremely Simple Procedure to Accelerate the Convergence of the Fixed Point Method to Solve Nonlinear Algebraic Equations

open access: yesMathematics, 2022
This work proposes the Enhanced Fixed Point Method (EFPM) as a straightforward modification to the problem of finding an exact or approximate solution for a linear or nonlinear algebraic equation.
Uriel Filobello-Nino   +6 more
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

Nonrecursive solution for the discrete algebraic Riccati equation and X + A*X-1A=L

open access: yesOpen Mathematics, 2015
In this paper, we present two new algebraic algorithms for the solution of the discrete algebraic Riccati equation. The first algorithm requires the nonsingularity of the transition matrix and is based on the solution of a standard eigenvalue problem for
Adam Maria, Assimakis Nicholas
doaj   +1 more source

The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch   +2 more
doaj   +1 more source

ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2016
In this note we recall (see also [8]) the structure of all recurrent sequences which satisfy a fixed recurrence relation, with entries in a perfect field.
SEVER ANGEL POPESCU
doaj  

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