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JC
2000
45views more  JC 2000»
13 years 10 months ago
What Is the Complexity of Stieltjes Integration?
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...
Arthur G. Werschulz
JC
2000
135views more  JC 2000»
13 years 10 months ago
Decision Problems in Quadratic Function Fields of High Genus
This paper provides verification procedures for a number of decision problems in quadratic function fields of odd characteristic, thereby establishing membership of these problems...
Renate Scheidler
JC
2000
78views more  JC 2000»
13 years 10 months ago
Finding at Least One Point in Each Connected Component of a Real Algebraic Set Defined by a Single Equation
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 ...
Fabrice Rouillier, Marie-Françoise Roy, Moh...
JC
2000
138views more  JC 2000»
13 years 10 months ago
Multivariate Polynomials, Duality, and Structured Matrices
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...
Bernard Mourrain, Victor Y. Pan
JC
2000
64views more  JC 2000»
13 years 10 months ago
Deformation Techniques for Efficient Polynomial Equation Solving
Joos Heintz, Teresa Krick, Susana Puddu, Juan Sabi...
JC
2000
89views more  JC 2000»
13 years 10 months ago
Weakly Computable Real Numbers
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...
Klaus Ambos-Spies, Klaus Weihrauch, Xizhong Zheng