Concept

Puiseux series

Related publications (16)

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The valuation criterion for normal basis generators

If L/K is a finite Galois extension of local fields, then we say that the valuation criterion VC(L/K) holds if there is an integer d such that every element x is an element of L with valuation d generates a normal basis for L/K. Answering a question of Byo ...

2012

A Recursive Acceleration Technique for Static Potential Green's Functions of a Rectangular Cavity Combining Image and Modal Series

Juan Ramon Mosig, Michael Mattes, Sergio Lopez Pena

A hybrid acceleration algorithm for the computation of the static potential Green’s functions of a rectangular cavity is proposed. Similarly to Ewald’s method, it combines the series expansions in terms of images and modes. The main particularity with resp ...

Institute of Electrical and Electronics Engineers2011

Synthesis and Physical Properties of Low Dimensional Quantum Magnets

Goran Nilsen

Strong electron correlation lies at the root of many quantum collective phenomena observed in solids, including high Tc superconductivity. Theoretically, the problem of many interacting electrons is difficult to treat, however, and a microscopic understand ...

University of Edinburgh2010

A Local Nonlinear Model for the Approximation and Identification of a Class of Systems

Based on Volterra series the work presents a novel local nonlinear model of a certain class of linear-analytic systems. The special form of the expressions for the Laplace-domain Volterra kernels of such systems is exploited to obtain an approximation stru ...

Institute of Electrical and Electronics Engineers2009

BOOSTERS: a derivative-free algorithm based on radial basis functions

Michel Bierlaire, Rodrigue Oeuvray

Derivative-free optimization involves the methods used to minimize an expensive objective functionwhen its derivatives are not available. We present here a trust-region algorithmbased on Radial Basis Functions (RBFs). The main originality of our approach i ...

2009

Iterative Toeplitz solvers with local quadratic convergence

Martin Vetterli

We study an iterative, locally quadratically convergent algorithm for solving Toeplitz systems of equations from [R. P. Brent, F. G. Gustavson and D. Y. Y. Yun. ''Fast solution of Toeplitz systems of equations and computation of Pade approximations'', J. A ...

1993