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FOCM
2008
88views more  FOCM 2008»
13 years 3 months ago
Convergence of the Magnus Series
The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals...
Per Christian Moan, Jitse Niesen
FOCM
2008
76views more  FOCM 2008»
13 years 4 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
FOCM
2008
101views more  FOCM 2008»
13 years 4 months ago
Algorithms for Differential Invariants of Symmetry Groups of Differential Equations
We develop new computational algorithms, based on the method of equivariant moving frames, for classifying the differential invariants of Lie symmetry pseudo-groups of differential...
Jeongoo Cheh, Peter J. Olver, Juha Pohjanpelto
FOCM
2008
77views more  FOCM 2008»
13 years 4 months ago
Modular Counting of Rational Points over Finite Fields
Let Fq be the finite field of q elements, where q = ph. Let f(x) be a polynomial over Fq in n variables with m non-zero terms. Let N(f) denote the number of solutions of f(x) = 0 ...
Daqing Wan
FOCM
2008
59views more  FOCM 2008»
13 years 4 months ago
Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals
For an ideal I R[x] given by a set of generators, a new semidefinite characterization of its real radical I(VR(I)) is presented, provided it is zero-dimensional (even if I is not...
Jean B. Lasserre, Monique Laurent, Philipp Rostals...