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» A Type-Coercion Problem in Computer Algebra
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JAR
1998
134views more  JAR 1998»
13 years 7 months ago
Integrating Computer Algebra into Proof Planning
Mechanized reasoning systems and computer algebra systems have different objectives. Their integration is highly desirable, since formal proofs often involve both of the two differ...
Manfred Kerber, Michael Kohlhase, Volker Sorge
SAMOS
2010
Springer
13 years 6 months ago
Accelerating high-level engineering computations by automatic compilation of Geometric Algebra to hardware accelerators
Abstract—Geometric Algebra (GA), a generalization of quaternions, is a very powerful form for intuitively expressing and manipulating complex geometric relationships common to en...
Jens Huthmann, Peter Muller, Florian Stock, Dietma...
SIAMNUM
2011
252views more  SIAMNUM 2011»
13 years 2 months ago
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations
We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the tangential component of ...
Pavel B. Bochev, Kara Peterson, Christopher M. Sie...
ICCV
1998
IEEE
14 years 9 months ago
Minimizing Algebraic Error in Geometric Estimation Problems
This paper gives a widely applicable technique for solving many of the parameter estimation problems encountered in geometric computer vision. A commonly used approach is to minim...
Richard I. Hartley
COMPUTING
2006
126views more  COMPUTING 2006»
13 years 7 months ago
Algebraic Multigrid Based on Computational Molecules, 1: Scalar Elliptic Problems
We consider the problem of splitting a symmetric positive definite (SPD) stiffness matrix A arising from finite element discretization into the sum of edge matrices thereby assumi...
J. K. Kraus, Josef Schicho