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» A New Approach for Solving Nonlinear Equations Systems
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MOC
1998
65views more  MOC 1998»
13 years 7 months ago
Solving constrained Pell equations
Consider the system of Diophantine equations x2 − ay2 = b, P (x, y) = z2, where P is a given integer polynomial. Historically, such systems have been analyzed by using Baker’s ...
Kiran S. Kedlaya
MCSS
2008
Springer
13 years 6 months ago
Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index
We study optimal control problems for general unstructured nonlinear differential-algebraic equations of arbitrary index. In particular, we derive necessary conditions in the case ...
Peter Kunkel, Volker Mehrmann
CDC
2010
IEEE
167views Control Systems» more  CDC 2010»
13 years 2 months ago
Numerical methods for the optimization of nonlinear stochastic delay systems, and an application to internet regulation
The Markov chain approximation method is an effective and widely used approach for computing optimal values and controls for stochastic systems. It was extended to nonlinear (and p...
Harold J. Kushner
IFIP
1994
Springer
13 years 11 months ago
Object-Oriented System Development: Will the New Approach Solve Old Problems?
Object-oriented system development is wideley recognized as improving productivity and reducing system maintenance costs. However, existing approaches have not su ciently addresse...
Gregor Engels, Gerti Kappel
RTA
1997
Springer
13 years 11 months ago
Solving Linear Diophantine Equations Using the Geometric Structure of the Solution Space
In the development of algorithms for finding the minimal solutions of systems of linear Diophantine equations, little use has been made (to our knowledge) of the results by Stanle...
Ana Paula Tomás, Miguel Filgueiras