JC
2000
13 years 4 months ago
2000
We study the complexity of approximating the Stieltjes integral R 1 0 f(x)dg(x) for functions f having r continuous derivatives and functions g whose sth derivative has bounded va...
JC
2000
13 years 4 months ago
2000
This paper provides verification procedures for a number of decision problems in quadratic function fields of odd characteristic, thereby establishing membership of these problems...
JC
2000
13 years 4 months ago
2000
Deciding efficiently the emptiness of a real algebraic set defined by a single equation is a fundamental problem of computational real algebraic geometry. We propose an algorithm ...
JC
2000
13 years 4 months ago
2000
JC
2000
13 years 4 months ago
2000
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
JC
2000
13 years 4 months ago
2000
JC
2000
13 years 4 months ago
2000
The Turing degree of a real number x is defined as the Turing degree of its binary expansion. This definition is quite natural and robust. In this paper we discuss some basic degr...