Algebraic solution of $x^{y}=y^{x}$ $(0<x<y)$

Solution of Systems of Linear Algebraic Equations

Numerical solution of Voltra algebraic integral equations by Taylor expansion method

Algebraic integral equations is a special category of Volterra integral equations system,  that has many applications in physics and engineering. The principal aim of this paper is to serve the numerical solution of an integral algebraic equation by using the Taylor expansion method. In this method, using the Taylor expansion of the unknown function, the algebraic integral equation system becom...

Fast Hybrid Solution of Algebraic Systems

We propose and analyze the error and timing of solvers consisting of both analog and digital circuitry for sparse linear systems of equations. We obtain high speed, but low precision from the analog circuits. We combine this with low speed, but high precision from the digital circuits. The hybrid circuit should be faster than digital circuits alone. As a preconditioner to standard iterative sol...

Numerical Solution of Algebraic Riccati Equations

Society for induStrial and applied MatheMaticS Numerical Solution of Algebraic Riccati Equations Dario A. Bini, Bruno Iannazzo, and Beatrice Meini Fundamentals of Algorithms 9 This concise and comprehensive treatment of the basic theory of algebraic Riccati equations describes the classical as well as the more advanced algorithms for their solution in a manner that is accessible to both practit...

Numerical Solution of Differential Algebraic Equations