4 citations · 7 across the 11 of their papers we have counts for
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Index reduction of differential algebraic equations by differential algebraic elimination
Xiaolin Qin, Lu Yang, Yong Feng +2
High index differential algebraic equations (DAEs) are ordinary differential equations (ODEs) with constraints and arise frequently from many mathematical models of physical phenom…
Computing the determinant of a matrix with polynomial entries by approximation
Xiaolin Qin, Zhi Sun, Tuo Leng +1
Computing the determinant of a matrix with the univariate and multivariate polynomial entries arises frequently in the scientific computing and engineering fields. In this paper, a…
Detecting Simultaneous Integer Relations for Several Real Vectors
Jingwei Chen, Yong Feng, Xiaolin Qin +1
An algorithm which either finds an nonzero integer vector for given real -dimensional vectors such that ${\mathbf x}_i^T{\mat…
Parallel computation of real solving bivariate polynomial systems by zero-matching method
Xiaolin Qin, Yong Feng, Jingwei Chen +1
We present a new algorithm for solving the real roots of a bivariate polynomial system with a finite number of solutions by using a zero-matching method. The…
A complete algorithm to find exact minimal polynomial by approximations
Xiaolin Qin, Yong Feng, Jingwei Chen +1
We present a complete algorithm for finding an exact minimal polynomial from its approximate value by using an improved parameterized integer relation construction method. Our resu…
Obtaining Exact Interpolation Multivariate Polynomial by Approximation
Yong Feng, Jingzhong Zhang, Xiaolin Qin +1
In some fields such as Mathematics Mechanization, automated reasoning and Trustworthy Computing etc., exact results are needed. Symbolic computations are used to obtain the exact r…