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Bibliography

1
C. De Boor.
Polynomial interpolation in several variables.
Studies in Computer Science (J. R. Rice and R. A. DeMillo, eds.), Plenum Press, New York, 1994.

2
C. De Boor and A. Ron.
Computational aspects of multivariate polynomial interpolation in several variables.
Mathematics of Computation, 58:705-727, 1992.

3
I. Z. Emiris and B. Mourrain.
Matrices in elimination theory.
Journal of Symbolic Computation, 28(1-2):3-43, 1999.

4
M. Gasca and T. Sauer.
Polynomial interpolation in several variables.
Adv. Comput. Math., 12(4):377-410, 2000.

5
P. Kravanja and M. Van Barel.
A fast Hankel solver based on an inversion formula for Loewner matrices.
Linear Algebra and Its Applications, 282(1-3):275-295, September 1998.

6
B. Mourrain and V. Y. Pan.
Multidimensional structured matrices and polynomial systems.
Calcolo, (Special Issue, Workshop on Toeplitz Matrices: Structure, Algorithms and Applications), 33:389-401, 1997.

7
B. Mourrain and V. Y. Pan.
Multivariate polynomials, duality and structured matrices.
Technical Report 3513, INRIA, 1998.

8
V. Y. Pan and B. Mourrain.
Solving special polynomial systems by using structured matrices and algebraic residues.
In F. Cucker and M. Shub, editors, Proc. of the workshop on Foundations of Computational Mathematics (Rio de Janeiro), pages 287-304. Springer, 1997.

9
V. Y. Pan and B. Mourrain.
Asymptotic acceleration of solving multivariate polynomial systems of equations.
In ACM Symposium on Theory of Computing, pages 488-496, 1998.

10
V. Y. Pan, B. Mourrain, and D. Bondyfalat.
Controlled iterative methods for solving polynomial systems.
In Proc. Annual ACM-SIGSAM Intern. Symp. on Symb. and Algebr. Comp. (ISSAC'98), pages 252-259. ACM Press, New York, 1998.

11
T. Sauer.
Computational aspects of multivariate polynomial interpolation.
Advances in Comp. Math., 3:219-238, 1995.

12
T. Sauer.
Polynomial interpolation of minimal degree.
Numerische Mathematik, 78(1):59-85, 1997.

13
T. Sauer and Yuan Xu.
On multivariate lagrange interpolation.
Mathematics of Computation, 64(211):1147-1170, 1995.

14
B. Sturmfels.
American mathematical society short course series: Introduction to resultants.
Applications of Computational Algebraic Geometry, 1997.

15
M. Van Barel and A. Bultheel.
A new approach to the rational interpolation problem: the vector case.
Journal of Computational and Applied Mathematics, 33(3):331-346, 1990.

16
M. Van Barel and A. Bultheel.
A new formal approach to the rational interpolation problem.
Numerische Mathematik, 62:87-122, 1992.

17
M. Van Barel, G. Heinig, and P. Kravanja.
A stabilized superfast solver for nonsymmetric toeplitz systems.
SIAM Journal on Matrix Analysis and its Applications, 23(2):494-510, 2001.

18
M. Van Barel and P. Kravanja.
A stabilized superfast solver for indefinite Hankel systems.
Linear Algebra and Its Applications, 284(1-3):335-355, 1998.



Raf Vandebril 2004-04-19