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» Exploration of multiple roots for a polynomial system
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CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 6 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
VC
2008
102views more  VC 2008»
13 years 6 months ago
Solving nonlinear polynomial systems in the barycentric Bernstein basis
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...
JC
2000
138views more  JC 2000»
13 years 6 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan
JACM
2000
119views more  JACM 2000»
13 years 6 months ago
A subdivision-based algorithm for the sparse resultant
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
John F. Canny, Ioannis Z. Emiris
ICCAD
2002
IEEE
100views Hardware» more  ICCAD 2002»
13 years 11 months ago
Optimal buffered routing path constructions for single and multiple clock domain systems
Shrinking process geometries and the increasing use of IP components in SoC designs give rise to new problems in routing and buffer insertion. A particular concern is that cross-c...
Soha Hassoun, Charles J. Alpert, Meera Thiagarajan