See this document in CiteSeerX!

A Framework For Symbolic And Numeric Computations (2000)  (Make Corrections)  (2 citations)
B. Mourrain, H. Prieto
INRIA



  Home/Search   Context   Related

 
View or download:
sop.inria.fr/galaad/...99hprieto.ps.gz
Cached:  PS.gz  PS  PDF   Image  Update  Help

From:  sop.inria.fr/galaad/stages...arch (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: The need to combine symbolic and numeric computations is ubiquitous is many problems such as the forward and inverse kinematics of robots, motion planning, the analysis of the geometric structure of molecules, computational geometry, geometric and solid modelling, graphics, computer-aided design, computer vision, signal processing... Starting with an exact or approximate description of the equations, we will eventually have to compute a numerical approximation of the solutions. This leads to... (Update)

Context of citations to this paper:   More

.... polynomial de ning A) Experimentations with polynomials of degree up to 10 shows the power and practical impact of such methods [69]. It is a challenging and open problem to generalize these techniques to the multivariate cases. A step in this direction has been done in...

Cited by:   More
On Circular Cylinders by Four or Five Points in Space - Devillers, Mourrain.. (2001)   (Correct)
Effective Computational Geometry for Curves and Surfaces: An.. - Mourrain   (Correct)

Similar documents (at the sentence level):
5.6%:   A Framework for Symbolic and Numeric Computations - Mourrain, Prieto (2000)   (Correct)

Active bibliography (related documents):   More   All
1.7:   Matrices in Elimination Theory - Emiris, Mourrain (1998)   (Correct)
1.7:   Some Applications of Bezoutians in Effective Algebraic Geometry - Elkadi, Mourrain (1998)   (Correct)
1.6:   An Environment for Symbolic and Numeric Computation - Reis, Mourrain, Rouillier.. (2002)   (Correct)

Similar documents based on text:   More   All
0.2:   Relation Between Roots And Coefficients, Interpolation And.. - Mourrain, Ruatta (2001)   (Correct)
0.1:   Solving Polynomial Systems By Matrix Computations - Mourrain (1997)   (Correct)
0.1:   Workshop on Symbolic-Numeric Algebra for Polynomials SNAP 96.. - Emiris, al. (1996)   (Correct)

Related documents from co-citation:   More   All
2:   Matrices in elimination theory - Emiris, Mourrain - 1997
2:   A reordered Schur factorization method for zero-dimensional polynomial systems w.. - Corless, Gianni et al. - 1997
2:   Solving projective complete intersection faster - Mourrain, Trbuchet - 2000

BibTeX entry:   (Update)

B. Mourrain and H. Prieto, A framework for symbolic and numeric computations, Rapport de Recherche 4013, INRIA, 2000. http://citeseer.ist.psu.edu/article/mourrain00framework.html   More

@techreport{ mourrain00framework,
  author = "B. Mourrain and H. Prieto",
  title = "A framework for symbolic and numeric computations",
  number = "4013",
  institution = "INRIA",
  year = "2000",
  url = "citeseer.ist.psu.edu/article/mourrain00framework.html" }
Citations (may not include all citations):
744   Matrix computations (context) - Golub, Van Loan - 1996
650   Three-Dimensional Computer Vision: a Geometric Viewpoint (context) - Faugeras - 1993
624   The Algebraic Eigenvalue Problem (context) - Wilkinson - 1965
525   Iterative methods for sparse linear systems (context) - Saad - 1996
290   The Complexity of Robot Motion Planning (context) - Canny - 1988
104   and Algorithms: An Introduction to Computational Algebraic G.. (context) - Cox, Little et al. - 1992
72   the combinatorial and algebraic complexity of quantier elimi.. - Basu, Pollack et al. - 1994
52   Algorithms for intersecting parametric and algebraic curves .. - Manocha, Demmel - 1995
48   GNU Multiple Precision Arithmetic Library (context) - Granlund - 1996
48   The number of roots of a system of equations (context) - Bernstein - 1975
43   Newton polyhedra and the genus of complete intersections (context) - Khovanskii - 1978
31   An eOEcient algorithm for the sparse mixed resultant (context) - Canny, Emiris - 1993
30   Matrices in Elimination Theory - Emiris, Mourrain - 1999
30   Solving systems of polynomial inequalities in subexponential.. (context) - Grigoryev, Vorobjov - 1988
27   the computational complexity and geometry of the rst order t.. (context) - Renegar - 1992
25   duality and structured matrices (context) - Mourrain, Pan - 2000
24   Computing isolated polynomial roots by matrix methods (context) - Mourrain - 1998
21   Improved algorithms for sign determination and existential q.. - Canny - 1993
21   STL tutorial and reference guide : C++ programming with the .. (context) - Musser, Saini - 1996
21   the applications of multi-equational resultants (context) - Bajaj, Garrity et al. - 1988
21   A perspective of modern methods in computer-aided drug desig.. (context) - Balbes, Mascarella et al. - 1994
19   Generative Programming And Active Libraries (context) - Czarnecki, Eisenecker et al. - 1998
19   Eigenproblems are at the heart of polynomial system solving (context) - Stetter - 1996
18   Numerical computation of polynomial zeros by means of aberth.. (context) - Bini - 1997
18   Enumeration problems in Geometry (context) - Mourrain - 1996
18   Stewart platforms without computer - Ronga, Vust - 1992
16   Controlled iterative methods for solving polynomial systems - Bondyfalat, Mourrain et al. - 1998
15   Algebraic approach of residues and applications - Cardinal, Mourrain - 1995
14   The Stewart-Gough platform of general geometry can have 40 r.. (context) - Dietmaier - 1998
14   Solving projective complete intersection faster - Mourrain, Tr - 2000
14   Residue Currents and Bezout Identities (context) - Berenstein, Gay et al. - 1993
14   Advanced lectures in Mathematics (context) - Kunz, hler - 1986
14   Bounds for traces in complete intersections and degrees in t.. (context) - Sabia, Solerno - 1995
12   Funktsional'nyi Analiz i Ego Prilozheniya (context) - Kushnirenko, the et al. - 1976
12   a theory of syzygetic relations of two rational integral fun.. (context) - Sylvester
12   SuperLU Users' Guide - Demmel, Gilbert et al. - 1997
11   Vol 1 : Fundamental Algorithms (context) - Bini, Pan et al. - 1994
11   On two iterative methods for approximating the roots of a po.. (context) - Cardinal - 1995
11   A new criterion for normal form algorithms - Mourrain - 1999
11   generic positions of a parallel robot - Mourrain - 1993
10   Complexity of Quantier Elimination in the Theory of Algebrai.. (context) - Chistov, Grigoryev - 1984
10   of Pure and Applied Algebra (context) - Elkadi, Mourrain et al. - 2000
9   Algebraic Methods and Arithmetic Filtering for Exact Predica.. (context) - Fronville, Devillers et al. - 2000
9   Geometric and Solid Modeling (context) - Hooemann - 1989
9   Generalized Stewart Platform: How to compute with rigid moti.. (context) - Lazard - 1993
9   volume 133 of Graduate Texts in Math (context) - Harris, course - 1992
8   Kronecker symbol and Eisenbud-Levin formula (context) - Becker, Cardinal et al. - 1996
7   Computer algebra methods for studying and computing molecula.. - Emiris, Mourrain - 1999
6   Active Libaries: Rethinking the roles of compilers and libra.. (context) - Veldhuizen, Cannon - 1998
6   Some applications of bezoutians in eoeective algebraic geome.. (context) - Elkadi, Mourrain - 1998
5   Solving polynomial systems for the the kinematic analysis of.. (context) - Raghavan, Roth - 1995
5   National Institute of Standards and Technology (context) - Jack, Andrew et al. - 1996
4   Approche eoeective des r#sidus alg#briques (context) - Elkadi, Mourrain - 1996
4   Polynomial test suite (context) - Bini, Mourrain - 1998
4   Multdimensional analogues of newtons formulas for systems of.. (context) - Aizenberg, Kytmanov - 1939
4   Polynomial system solving; the case of a 6-atom molecule (context) - Emiris, Mourrain - 1996
3   standard template library (context) - Robson, STL - 1998
3   Vers une nouvelle approche du calcul scientique en c (context) - Reis - 1998
3   Principles of numerical polynomial algebra (context) - Stetter - 1996
3   Challenges of symbolic computation: May favorite open proble.. (context) - Kaltofen
3   UMFPACK Unsymmetric-pattern Multifrontal Package (context) - Timothy, Davis - 1998
3   GNU Multiple Precision Floating-Point Reliable Library (context) - Zimmermann - 1999
3   Roldan Pozo and Andrew Lumsdaine Karin (context) - Pozo, Karin et al. - 1996
3   ber Spurfunktionen bei vollst#ndigen Durschnitten (context) - Scheja, Storch - 1975
3   rale des #quations Alg#briques (context) - zout, orie
2   thodes matricielles pour les syst#mes d'#quations polynomial.. (context) - Ruatta - 1999
2   The alp reference manual (context) - Mourrain, Prieto - 2000
2   ratifs pour la r#solution de syst#mes polynomiaux (context) - Cardinal, gorithmes - 1993
2   Sur la complexit# du th#or#me des z#ros (context) - Fitchas, Giusti et al. - 1993
2   Eoeective Bezout identities in Q[z 1 ; : : : ; z n (context) - Berenstein, Yger - 1991

Documents on the same site (http://www-sop.inria.fr/galaad/stages/arch.html):   More
Generalized Eigenvector Problem and Its Applications - Ong (2001)   (Correct)
Matrix Perturbation Theory in Distance Geometry - Nikitopoulos (1999)   (Correct)
Experimenting with the Curved Kernel - Kakargias (2003)   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC