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Peter Bürgisser
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Publications
- 2021
- [j39]Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto:
Computing the Homology of Semialgebraic Sets. II: General Formulas. Found. Comput. Math. 21(5): 1279-1316 (2021) - 2020
- [j38]Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto:
Computing the Homology of Semialgebraic Sets. I: Lax Formulas. Found. Comput. Math. 20(1): 71-118 (2020) - [i29]Peter Bürgisser, Felipe Cucker, Pierre Lairez:
Rigid continuation paths II. Structured polynomial systems. CoRR abs/2010.10997 (2020) - 2019
- [j35]Peter Bürgisser, Felipe Cucker, Pierre Lairez:
Computing the Homology of Basic Semialgebraic Sets in Weak Exponential Time. J. ACM 66(1): 5:1-5:30 (2019) - [i28]Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto:
Computing the Homology of Semialgebraic Sets. II: General formulas. CoRR abs/1903.10710 (2019) - 2018
- [i24]Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto:
Computing the Homology of Semialgebraic Sets I: Lax Formulas. CoRR abs/1807.06435 (2018) - 2017
- [j33]Peter Bürgisser, Felipe Cucker, Elisa Rocha Cardozo:
On the condition of the zeros of characteristic polynomials. J. Complex. 42: 72-84 (2017) - [i22]Felipe Cucker, Peter Bürgisser, Pierre Lairez:
Computing the homology of basic semialgebraic sets in weak exponential time. CoRR abs/1706.07473 (2017) - 2016
- [j30]Diego Armentano, Carlos Beltrán, Peter Bürgisser, Felipe Cucker, Michael Shub:
Condition Length and Complexity for the Solution of Polynomial Systems. Found. Comput. Math. 16(6): 1401-1422 (2016) - 2015
- [i14]Peter Bürgisser, Felipe Cucker, Marek Karpinski, Nicolai N. Vorobjov Jr.:
Complexity of Symbolic and Numerical Problems (Dagstuhl Seminar 15242). Dagstuhl Reports 5(6): 28-47 (2015) - 2013
- [b3]Peter Bürgisser, Felipe Cucker:
Condition - The Geometry of Numerical Algorithms. Grundlehren der mathematischen Wissenschaften 349, Springer 2013, ISBN 978-3-642-38895-8, pp. I-XXXI, 1-554 - 2010
- [j22]Peter Bürgisser, Felipe Cucker:
Smoothed Analysis of Moore-Penrose Inversion. SIAM J. Matrix Anal. Appl. 31(5): 2769-2783 (2010) - [c13]Peter Bürgisser, Felipe Cucker:
Solving polynomial equations in smoothed polynomial time and a near solution to smale's 17th problem. STOC 2010: 503-512 - 2009
- [j20]Peter Bürgisser, Felipe Cucker:
Exotic Quantifiers, Complexity Classes, and Complete Problems. Found. Comput. Math. 9(2): 135-170 (2009) - 2008
- [j16]Peter Bürgisser, Felipe Cucker, Martin Lotz:
The probability that a slightly perturbed numerical analysis problem is difficult. Math. Comput. 77(263): 1559-1583 (2008) - 2007
- [c12]Peter Bürgisser, Felipe Cucker:
Exotic Quantifiers, Complexity Classes, and Complete Problems. ICALP 2007: 207-218 - 2006
- [j14]Peter Bürgisser, Felipe Cucker, Paulin Jacobé de Naurois:
The complexity of semilinear problems in succinct representation. Comput. Complex. 15(3): 197-235 (2006) - [j13]Peter Bürgisser, Felipe Cucker:
Counting complexity classes for numeric computations II: Algebraic and semialgebraic sets. J. Complex. 22(2): 147-191 (2006) - 2005
- [j12]Peter Bürgisser, Felipe Cucker, Martin Lotz:
Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets. Found. Comput. Math. 5(4): 351-387 (2005) - [c8]Peter Bürgisser, Felipe Cucker, Paulin Jacobé de Naurois:
The Complexity of Semilinear Problems in Succinct Representation. FCT 2005: 479-490 - [i3]Peter Bürgisser, Felipe Cucker:
Exotic quantifiers, complexity classes, and complete problems. Electron. Colloquium Comput. Complex. TR05 (2005) - 2004
- [c7]Peter Bürgisser, Felipe Cucker:
Counting complexity classes for numeric computations II: algebraic and semialgebraic sets. STOC 2004: 475-485 - 2003
- [j9]Peter Bürgisser, Felipe Cucker:
Counting Complexity Classes for Numeric Computations I: Semilinear Sets. SIAM J. Comput. 33(1): 227-260 (2003) - [c6]Peter Bürgisser, Felipe Cucker:
Counting Complexity Classes over the Reals I: The Additive Case. ISAAC 2003: 625-634 - [i1]Peter Bürgisser, Felipe Cucker:
Counting complexity classes for numeric computations II: algebraic and semialgebraic sets. CoRR cs.CC/0312007 (2003)
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