Abstract. This paper concerns the computation of the coefficients ck of the characteristic polynomial of a real or complex matrix A. We analyze the forward error in the coefficient...
In this paper we discuss the use of structured matrix methods for the numerical approximation of the zeros of a univariate polynomial. In particular, it is shown that root-findin...
Abstract. We propose an algorithm for automated recognition of computationally constructed curves and discuss several aspects of the recognition problem. Recognizing loci means det...
We study spectral properties of certain families of linear second-order differential operators arising from linear stochastic differential equations. We construct a basis in the Hi...
Abstract. Schoof’s algorithm computes the number m of points on an elliptic curve E defined over a finite field Fq. Schoof determines m modulo small primes using the character...