A Column Space Based Approach to Solve Systems of Multivariate Polynomial Equations

A new approach to the numerical solution of system of dual fuzzy polynomial equations

A new approach to solve fuzzy system of linear equations by Homotopy perturbation method

In this paper, we present an efficient numerical algorithm for solving fuzzy systems of linear equations based on homotopy perturbation method. The method is discussed in detail and illustrated by solving some numerical examples.

A New Approach to the Numerical Solution of Dual Fully Fuzzy Polynomial Equations

Accelerated Solution of Multivariate Polynomial Systems of Equations

We propose new Las Vegas randomized algorithms for the solution of a square nonde-generate system of equations, with well-separated roots. The algorithms use O(δ 3 n D 2 log(D) log(b)) arithmetic operations (in addition to the operations required to compute the normal form of the boundary monomials modulo the ideal) to approximate all real roots of the system as well as all roots lying in a fix...

Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations

The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic multivariate polynomial equations. This problem is NP-hard over any field. When the number of equations m is the same as the number of unknowns n the best known algorithms are exhaustive search for small fields, and a Gröbner base algorithm for large fields. Gröbner base algorit...