Now showing items 11-20 of 328
Heights on elliptic curves and the diophantine equation x4 + y4 = cz4
In this paper we give sharp explicit estimates for the difference of the Weil height and the Néron - Tate height on the elliptic curve $v^2 = u^3 - cu$. We then apply this in the proof of the fact that if c > 2 is a fourth ...
Global convergence of multidirectional algorithms for unconstrained optimization in normed spaces
Global convergence theorems for a class of descent methods for unconstrained optimization problems in normed spaces, using multidirectional search, are proved. Exact and inexact search are considered and the results allow ...
Characterizing differential algebraic equations without the use of derivative arrays
For a large class of differential algebraic equations with properly stated leading terms and nonsmooth data, an index characterization in terms of the original coefficients and their only first partial derivatives is given. ...
On the stability of the Abramov-transfer for DAEs of index 1
Abramov’s transfer method for ordinary differential equations (ODE) transfers linear boundary value problems into initial value problems and systems of linear algebraic equations that have to be solved. K. Balla and R. ...
Primal and Dual Methods for Unit Commitment in a Hydro-Thermal Power System
The unit commitment problem in a power generation system comprising thermal and pumped-storage hydro units is adressed. A large-scale mixed-integer optimization model for unit commitment in a real power system is developed ...