✦ LIBER ✦

A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic n-roots

✍ Scribed by Göran Björck; Ralf Fröberg

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 512 KB
Volume: 12
Category: Article
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(08)80153-8

No coin nor oath required. For personal study only.

✦ Synopsis

This paper deals with the problem of using symbolic algebra to count the solutions of lnhomogeneous systems of algebraic equations. A trick is presented whereby the faster algorithms for the homogeneous ease can be used in the in.homogeneous case. The method is applied to the cyclic n-roots studied by one of the authors (and sometimes referred to as solutions to Arnborg's system or Davenport's problem).

📜 SIMILAR VOLUMES

Almost periodic differential equations a

Almost periodic differential equations as dynamical systems with applications to the existence of A. P. solutions

✍ R.K Miller 📂 Article 📅 1965 🏛 Elsevier Science 🌐 English ⚖ 375 KB

A two-loop sparse matrix numerical integ

A two-loop sparse matrix numerical integration procedure for the solution of differential/algebraic equations: Application to multibody systems

✍ Ahmed A. Shabana; Bassam A. Hussein 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 502 KB

A network thermodynamic method for numer

A network thermodynamic method for numerical solution of the Nernst-Planck and Poisson equation system with application to ionic transport through membranes

✍ J. Horno; F. González-Caballero; C. F. González-Fernández 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 575 KB

Simple techniques of network thermodynamics are used to obtain the numerical solution of the Nernst-Planck and Poisson equation system. A network model for a particular physical situation, namely ionic transport through a thin membrane with simultaneous diffusion, convection and electric current, is