Results 21 to 30 of about 19,939 (162)
A Story of Computational Science: Colonel Titus’ Problem from the 17th Century
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
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Algebraic Cryptanalysis with MRHS Equations
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
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
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
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A numerical approach for investigating a special class of fractional Riccati equation
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
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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
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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
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Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution
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
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Nonrecursive solution for the discrete algebraic Riccati equation and X + A*X-1A=L
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
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The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation
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
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ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES [PDF]
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
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