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Journal of Complexity Volume 16, Number 1, March 2000

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Journal of Complexity

Volume 1 6 , Number 1 , March 2000

CONTENTS

Preface 1 REGULAR ARTICLES

Time-Space Tradeoffs in Algebraic Complexity Theory 2 M. Aldaz, J. Heintz, G. Matera, J. L. Montana, and L. M. Pardo Topological Complexity of the Range Searching 50

Dima Grigoriev

A Fast Version of the Schur-Cohn Algorithm 54 Cyril Brunie and Philippe Saux Picart

Deformation Techniques for Efficient Polynomial Equation Solving 70 Joos Heintz, Teresa Krick, Susana Puddu, Juan Sabia, and

Ariel Waissbein

Multivariate Polynomials, Duality, and Structured Matrices 110 Bernard Mourrain and Victor Y. Pan

Fast Computation of Contour Integrals of Rational Functions 181 Peter Kirrinnis

Approximating Complex Polynomial Zeros: Modified Weyl's Quadtree 213 Construction and Improved Newton's Iteration

Victor Y. Pan

Lifting/Descending Processes for Polynomial Zeros 265 Bernard Mourrain and Victor Y. Pan

Continued on inside hack cover

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Continued from outside back cover

On Symbolic-Numeric Solving of Sine-Polynomial Equations 274 Aude Maignan

Contraction, Robustness, and Numerical Path-Following Using Secant 286 Maps

Jean-Claude Yakoubsohn

The Complexity of Local Dimensions for Constructible Sets 311 Pascal Koiran

A Note on Non-complete Problems in NP^ 324 S. Ben-David, K. Meer, and C. Michaux

Complexity of Linear Problems with a Fixed Output Basis 333 Erich Novak and Henryk Wozniakowski

On the Time Complexity of Partial Real Functions 363 Armin Hemmerling

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