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FOCM
2006
51views more  FOCM 2006»
13 years 11 months ago
Overdetermined Elliptic Systems
Abstract We consider linear overdetermined systems of partial differential equa
Katsiaryna Krupchyk, Werner M. Seiler, Jukka Tuome...
MOC
2000
181views more  MOC 2000»
13 years 10 months ago
Newton's method for overdetermined systems of equations
Abstract. Complexity theoretic aspects of continuation methods for the solution of square or underdetermined systems of polynomial equations have been studied by various authors. I...
Jean-Pierre Dedieu, Mike Shub
JSC
2008
60views more  JSC 2008»
13 years 11 months ago
Completion of overdetermined parabolic PDEs
In this paper we apply methods of commutative algebra to analysis of systems of PDEs. More precisely, we show that systems which are parabolic in a generalized sense are equivalen...
Katsiaryna Krupchyk, Jukka Tuomela
ICICS
1997
Springer
14 years 2 months ago
Efficient elliptic curve exponentiation
Elliptic curve cryptosystems, proposed by Koblitz([8]) and Miller([11]), can be constructed over a smaller definition field than the ElGamal cryptosystems([5]) or the RSA cryptosys...
Atsuko Miyaji, Takatoshi Ono, Henri Cohen
APPROX
2006
Springer
121views Algorithms» more  APPROX 2006»
14 years 2 months ago
A Randomized Solver for Linear Systems with Exponential Convergence
Abstract. The Kaczmarz method for solving linear systems of equations Ax = b is an iterative algorithm that has found many applications ranging from computer tomography to digital ...
Thomas Strohmer, Roman Vershynin