Wampler: Numerical Algebraic Geometry

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Mechanism and Robot Kinematics, Part II:
Numerical Algebraic Geometry

C= harles Wampler

General Motors R&D Center

Including joint wo= rk with

Andrew Sommese, University of Notre Dame = ;

Jan Verschelde, Univ. Illinois Chicago <= /span>

Alexander Morgan, <= span style=3D'mso-tab-count:1;width:1.72%'> GM R&D

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Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Wampler: Numerical Algebraic Geometry

2&#= 13;

Outline

nZero-dimensional solution sets <= /div>

n= Numerical solution by polynomial continuation =

nRoot counts and homotopies

nParameter homotopies

nPositive-dimensional solution sets

n= Basic constructs

nWitness sets

nNumerical irreducible decomposition

n= Basic operations

nIntersection of algebraic sets <= /div>

nDeflation of nonreduced sets

n= Higher-level operations

nEquation-by-equation intersections

nFiber products

nExtracting real points from a complex set

nApplications

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