In this paper we provide algorithms for computing the bidiagonal decomposition of the Wronskian matrices of the monomial basis of polynomials and of the basis of exponential polynomials. It is also shown that these algorithms can be used to perform accurately some algebraic computations with these Wronskian matrices, such as the calculation of their inverses, their eigenvalues or their singular values and the solutions of some linear systems. Numerical experiments illustrate the results.

中文翻译：

---

使用Wronskian矩阵进行精确计算

在本文中，我们提供了用于计算多项式的多项式基和指数多项式的Wronskian矩阵的对角分解的算法。还表明，这些算法可用于使用这些Wronskian矩阵准确地执行某些代数计算，例如其逆，特征值或奇异值的计算以及某些线性系统的解。数值实验说明了结果。