1 citations · 1 across the 7 of their papers we have counts for
7 papers
On the probability of generating a primitive matrix
Jingwei Chen, Yong Feng, Yang Liu +1
Given a integer primitive matrix (i.e., a matrix can be extended to an unimodular matrix over the integers) with the maximal absolute value of entr…
The PSLQ Algorithm for Empirical Data
Yong Feng, Jingwei Chen, Wenyuan Wu
The celebrated integer relation finding algorithm PSLQ has been successfully used in many applications. PSLQ was only analyzed theoretically for exact input data, however, when the…
A Short Note on Zero-error Computation for Algebraic Numbers by IPSLQ
Yong Feng, Jingwei Chen, Wenyuan Wu
The PSLQ algorithm is one of the most popular algorithm for finding nontrivial integer relations for several real numbers. In the present work, we present an incremental version of…
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…